sequence_id
stringlengths 7
7
| sequence_name
stringlengths 4
573
| sequence
listlengths 1
348
| keywords
listlengths 1
8
| score
int64 1
2.35k
| offset_a
int64 -14,827
666,262,453B
| offset_b
int64 0
635M
⌀ | cross_references
listlengths 1
128
⌀ | former_ids
listlengths 1
3
⌀ | author
stringlengths 7
231
⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-19 00:40:46
| filename
stringlengths 29
29
| hash
stringlengths 32
32
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A000101
|
Record gaps between primes (upper end) (compare A002386, which gives lower ends of these gaps).
|
[
"3",
"5",
"11",
"29",
"97",
"127",
"541",
"907",
"1151",
"1361",
"9587",
"15727",
"19661",
"31469",
"156007",
"360749",
"370373",
"492227",
"1349651",
"1357333",
"2010881",
"4652507",
"17051887",
"20831533",
"47326913",
"122164969",
"189695893",
"191913031",
"387096383",
"436273291",
"1294268779"
] |
[
"nonn",
"nice"
] | 160 | 1 | 1 |
[
"A000040",
"A000101",
"A001223",
"A002386",
"A005250",
"A005669",
"A107578",
"A111943"
] |
[
"M2485",
"N0984"
] |
N. J. A. Sloane
| 2025-02-16T08:32:19 |
oeisdata/seq/A000/A000101.seq
|
2aa1e3b0460963ad027c98f9ff22fa9c
|
A000102
|
a(n) = number of compositions of n in which the maximum part size is 4.
|
[
"0",
"0",
"0",
"0",
"1",
"2",
"5",
"12",
"27",
"59",
"127",
"269",
"563",
"1167",
"2400",
"4903",
"9960",
"20135",
"40534",
"81300",
"162538",
"324020",
"644282",
"1278152",
"2530407",
"5000178",
"9863763",
"19427976",
"38211861",
"75059535",
"147263905",
"288609341",
"565047233",
"1105229439",
"2159947998",
"4217784107",
"8230006378"
] |
[
"nonn",
"nice",
"easy"
] | 69 | 0 | 6 | null |
[
"M1409",
"N0551"
] |
N. J. A. Sloane
| 2025-04-30T18:20:59 |
oeisdata/seq/A000/A000102.seq
|
7b6508e3d28e5530b127ad6fec6e46d6
|
A000103
|
Number of n-node triangulations of sphere in which every node has degree >= 4.
|
[
"0",
"0",
"1",
"1",
"2",
"5",
"12",
"34",
"130",
"525",
"2472",
"12400",
"65619",
"357504",
"1992985",
"11284042",
"64719885",
"375126827",
"2194439398",
"12941995397",
"76890024027",
"459873914230",
"2767364341936",
"16747182732792"
] |
[
"nonn",
"hard",
"more"
] | 51 | 4 | 5 |
[
"A000103",
"A000109",
"A081621"
] |
[
"M1423",
"N0559"
] |
N. J. A. Sloane
| 2025-02-16T08:32:19 |
oeisdata/seq/A000/A000103.seq
|
c5563f063126fc6723899c2e795500dc
|
A000104
|
Number of n-celled free polyominoes without holes.
|
[
"1",
"1",
"1",
"2",
"5",
"12",
"35",
"107",
"363",
"1248",
"4460",
"16094",
"58937",
"217117",
"805475",
"3001127",
"11230003",
"42161529",
"158781106",
"599563893",
"2269506062",
"8609442688",
"32725637373",
"124621833354",
"475368834568",
"1816103345752",
"6948228104703",
"26618671505989",
"102102788362303"
] |
[
"nonn",
"nice",
"hard"
] | 75 | 0 | 4 |
[
"A000104",
"A000105",
"A006724",
"A006746",
"A006747",
"A006748",
"A006749",
"A018190",
"A054361",
"A056877",
"A056878",
"A056879",
"A056880",
"A056881",
"A056882",
"A070765",
"A266549",
"A308300",
"A357647",
"A357648"
] |
[
"M1424",
"N0560"
] |
N. J. A. Sloane
| 2024-03-21T21:03:41 |
oeisdata/seq/A000/A000104.seq
|
35906601790d916275acdda04dfea3ec
|
A000105
|
Number of free polyominoes (or square animals) with n cells.
|
[
"1",
"1",
"1",
"2",
"5",
"12",
"35",
"108",
"369",
"1285",
"4655",
"17073",
"63600",
"238591",
"901971",
"3426576",
"13079255",
"50107909",
"192622052",
"742624232",
"2870671950",
"11123060678",
"43191857688",
"168047007728",
"654999700403",
"2557227044764",
"9999088822075",
"39153010938487",
"153511100594603"
] |
[
"nonn",
"hard",
"nice",
"core"
] | 250 | 0 | 4 |
[
"A000104",
"A000105",
"A000228",
"A000577",
"A000988",
"A001168",
"A001419",
"A006746",
"A006747",
"A006748",
"A006749",
"A006765",
"A030228",
"A054359",
"A054360",
"A056877",
"A056878",
"A103465",
"A142886",
"A144553",
"A144554",
"A210996",
"A366766"
] |
[
"M1425",
"N0561"
] |
N. J. A. Sloane
| 2025-03-14T21:16:24 |
oeisdata/seq/A000/A000105.seq
|
73da3d342057890ac49016e5d12f7388
|
A000106
|
2nd power of rooted tree enumerator; number of linear forests of 2 rooted trees.
|
[
"1",
"2",
"5",
"12",
"30",
"74",
"188",
"478",
"1235",
"3214",
"8450",
"22370",
"59676",
"160140",
"432237",
"1172436",
"3194870",
"8741442",
"24007045",
"66154654",
"182864692",
"506909562",
"1408854940",
"3925075510",
"10959698606",
"30665337738",
"85967279447",
"241433975446",
"679192039401",
"1913681367936",
"5399924120339"
] |
[
"nonn",
"nice",
"easy"
] | 65 | 2 | 2 |
[
"A000081",
"A000106",
"A000242",
"A000300",
"A000343",
"A000395",
"A027852",
"A335362",
"A339067"
] |
[
"M1415",
"N0553"
] |
N. J. A. Sloane
| 2023-11-03T16:18:54 |
oeisdata/seq/A000/A000106.seq
|
a3151b9377174727560aabb6a04867bd
|
A000107
|
Number of rooted trees with n nodes and a single labeled node; pointed rooted trees; vertebrates.
|
[
"0",
"1",
"2",
"5",
"13",
"35",
"95",
"262",
"727",
"2033",
"5714",
"16136",
"45733",
"130046",
"370803",
"1059838",
"3035591",
"8710736",
"25036934",
"72069134",
"207727501",
"599461094",
"1731818878",
"5008149658",
"14496034714",
"41993925955",
"121747732406",
"353221737526",
"1025471857282",
"2978995353959",
"8658997820084"
] |
[
"nonn",
"easy",
"nice"
] | 69 | 0 | 3 |
[
"A000081",
"A000107",
"A008295",
"A339067"
] |
[
"M1442",
"N0570"
] |
N. J. A. Sloane
| 2023-03-23T23:09:14 |
oeisdata/seq/A000/A000107.seq
|
4283059fefdf70af1ff4fbd6cb77728d
|
A000108
|
Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!).
|
[
"1",
"1",
"2",
"5",
"14",
"42",
"132",
"429",
"1430",
"4862",
"16796",
"58786",
"208012",
"742900",
"2674440",
"9694845",
"35357670",
"129644790",
"477638700",
"1767263190",
"6564120420",
"24466267020",
"91482563640",
"343059613650",
"1289904147324",
"4861946401452",
"18367353072152",
"69533550916004",
"263747951750360",
"1002242216651368",
"3814986502092304"
] |
[
"core",
"nonn",
"easy",
"eigen",
"nice"
] | 2,110 | 0 | 3 |
[
"A000081",
"A000108",
"A000142",
"A000207",
"A000245",
"A000344",
"A000588",
"A000736",
"A000753",
"A000957",
"A000984",
"A001003",
"A001147",
"A001190",
"A001392",
"A001453",
"A001477",
"A001683",
"A001699",
"A001764",
"A001791",
"A001795",
"A002057",
"A002390",
"A002420",
"A003046",
"A003517",
"A003518",
"A003519",
"A006480",
"A006858",
"A008276",
"A008549",
"A009766",
"A014137",
"A014138",
"A014140",
"A014486",
"A022553",
"A024492",
"A030237",
"A032357",
"A032443",
"A033184",
"A033552",
"A038003",
"A039599",
"A046161",
"A047072",
"A048990",
"A051168",
"A059288",
"A059365",
"A060854",
"A068875",
"A069640",
"A078920",
"A086117",
"A088327",
"A091962",
"A094216",
"A094638",
"A094639",
"A098597",
"A099039",
"A099731",
"A106566",
"A119822",
"A119861",
"A119908",
"A120274",
"A120275",
"A120303",
"A120304",
"A121839",
"A123352",
"A124926",
"A129763",
"A130020",
"A137697",
"A154559",
"A161581",
"A163960",
"A167892",
"A167893",
"A176137",
"A179277",
"A208355",
"A211611",
"A259667",
"A264663",
"A268813",
"A275431",
"A332602",
"A368025",
"A369314"
] |
[
"M1459",
"N0577"
] |
N. J. A. Sloane
| 2025-07-01T19:21:26 |
oeisdata/seq/A000/A000108.seq
|
a3f9c61bf6615683353fadab1b6391cf
|
A000109
|
Number of simplicial polyhedra with n vertices; simple planar graphs with n vertices and 3n-6 edges; maximal simple planar graphs with n vertices; planar triangulations with n vertices; triangulations of the sphere with n vertices; 3-connected cubic planar graphs on 2n-4 vertices.
|
[
"1",
"1",
"1",
"2",
"5",
"14",
"50",
"233",
"1249",
"7595",
"49566",
"339722",
"2406841",
"17490241",
"129664753",
"977526957",
"7475907149",
"57896349553",
"453382272049",
"3585853662949",
"28615703421545"
] |
[
"nonn",
"nice",
"hard",
"more",
"core"
] | 130 | 3 | 4 |
[
"A000109",
"A000944",
"A005964",
"A007021",
"A007816",
"A058378",
"A111358",
"A253882"
] |
[
"M1469",
"N0580"
] |
N. J. A. Sloane
| 2025-02-16T08:32:19 |
oeisdata/seq/A000/A000109.seq
|
2c6560825ef27bb7b4c2092396b820c7
|
A000110
|
Bell or exponential numbers: number of ways to partition a set of n labeled elements.
|
[
"1",
"1",
"2",
"5",
"15",
"52",
"203",
"877",
"4140",
"21147",
"115975",
"678570",
"4213597",
"27644437",
"190899322",
"1382958545",
"10480142147",
"82864869804",
"682076806159",
"5832742205057",
"51724158235372",
"474869816156751",
"4506715738447323",
"44152005855084346",
"445958869294805289",
"4638590332229999353",
"49631246523618756274"
] |
[
"core",
"nonn",
"easy",
"nice"
] | 1,379 | 0 | 3 |
[
"A000045",
"A000108",
"A000110",
"A000166",
"A000204",
"A000255",
"A000296",
"A000311",
"A000371",
"A000798",
"A001035",
"A001861",
"A001927",
"A001929",
"A003422",
"A003465",
"A005001",
"A006056",
"A006057",
"A006058",
"A006059",
"A008277",
"A011971",
"A024716",
"A027710",
"A029761",
"A048993",
"A049020",
"A054767",
"A058692",
"A060719",
"A061462",
"A078944",
"A084423",
"A085686",
"A087650",
"A094262",
"A102661",
"A103293",
"A121207",
"A123158",
"A144180",
"A144223",
"A144263",
"A144293",
"A152432",
"A165194",
"A165196",
"A173110",
"A182386",
"A186021",
"A212431",
"A221159",
"A227840",
"A243991"
] |
[
"M1484",
"N0585"
] |
N. J. A. Sloane
| 2025-06-02T16:49:53 |
oeisdata/seq/A000/A000110.seq
|
2bffaf5f4e0df7565d4883ef8a074c26
|
A000111
|
Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250).
|
[
"1",
"1",
"1",
"2",
"5",
"16",
"61",
"272",
"1385",
"7936",
"50521",
"353792",
"2702765",
"22368256",
"199360981",
"1903757312",
"19391512145",
"209865342976",
"2404879675441",
"29088885112832",
"370371188237525",
"4951498053124096",
"69348874393137901",
"1015423886506852352",
"15514534163557086905",
"246921480190207983616",
"4087072509293123892361"
] |
[
"nonn",
"core",
"eigen",
"nice",
"easy"
] | 746 | 0 | 4 |
[
"A000111",
"A000182",
"A000258",
"A000311",
"A000364",
"A002105",
"A002846",
"A005121",
"A008280",
"A008281",
"A008282",
"A008970",
"A010094",
"A059720",
"A109449",
"A177762",
"A181937",
"A186365",
"A229892",
"A250261",
"A258829",
"A262124",
"A275784",
"A292050",
"A301344",
"A318813",
"A320270",
"A330474",
"A330665",
"A330679",
"A340315",
"A349264"
] |
[
"M1492",
"N0587"
] |
N. J. A. Sloane
| 2025-03-10T11:12:52 |
oeisdata/seq/A000/A000111.seq
|
9a1ba385d34186b76810fe377fd04d5d
|
A000112
|
Number of partially ordered sets ("posets") with n unlabeled elements.
|
[
"1",
"1",
"2",
"5",
"16",
"63",
"318",
"2045",
"16999",
"183231",
"2567284",
"46749427",
"1104891746",
"33823827452",
"1338193159771",
"68275077901156",
"4483130665195087"
] |
[
"nonn",
"hard",
"more",
"core",
"nice"
] | 188 | 0 | 3 |
[
"A000112",
"A000608",
"A000798",
"A001035",
"A001930",
"A006057",
"A065066",
"A079263",
"A079265",
"A263859",
"A316978",
"A319559",
"A326939",
"A326943",
"A326944",
"A326947",
"A342447"
] |
[
"M1495",
"N0588"
] |
N. J. A. Sloane
| 2024-07-07T13:45:47 |
oeisdata/seq/A000/A000112.seq
|
e5dffbfa3c22c90258eb57573484abc2
|
A000113
|
Number of transformation groups of order n.
|
[
"1",
"3",
"4",
"3",
"6",
"12",
"8",
"6",
"4",
"18",
"12",
"12",
"14",
"24",
"24",
"6",
"18",
"12",
"20",
"18",
"32",
"36",
"24",
"24",
"30",
"42",
"12",
"24",
"30",
"72",
"32",
"12",
"48",
"54",
"48",
"12",
"38",
"60",
"56",
"36",
"42",
"96",
"44",
"36",
"24",
"72",
"48",
"24",
"56",
"90",
"72",
"42",
"54",
"36",
"72",
"48",
"80",
"90",
"60",
"72",
"62",
"96",
"32",
"12",
"84",
"144",
"68"
] |
[
"nonn",
"easy",
"mult"
] | 26 | 1 | 2 |
[
"A000113",
"A001615"
] | null |
N. J. A. Sloane
| 2022-10-23T02:54:44 |
oeisdata/seq/A000/A000113.seq
|
4f6927d4811708c96d44cbef75f9fe55
|
A000114
|
Number of cusps of principal congruence subgroup GAMMA^{hat}(n).
|
[
"3",
"4",
"6",
"12",
"12",
"24",
"24",
"36",
"36",
"60",
"48",
"84",
"72",
"96",
"96",
"144",
"108",
"180",
"144",
"192",
"180",
"264",
"192",
"300",
"252",
"324",
"288",
"420",
"288",
"480",
"384",
"480",
"432",
"576",
"432",
"684",
"540",
"672",
"576",
"840",
"576",
"924",
"720",
"864",
"792",
"1104",
"768",
"1176",
"900",
"1152",
"1008",
"1404",
"972",
"1440"
] |
[
"nonn",
"easy"
] | 32 | 2 | 1 |
[
"A000114",
"A001766",
"A002117",
"A007434"
] | null |
N. J. A. Sloane
| 2025-06-01T03:20:48 |
oeisdata/seq/A000/A000114.seq
|
74f35ca1b9ebd0c547c93d76ab05358f
|
A000115
|
Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).
|
[
"1",
"1",
"2",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"10",
"11",
"13",
"14",
"16",
"18",
"20",
"22",
"24",
"26",
"29",
"31",
"34",
"36",
"39",
"42",
"45",
"48",
"51",
"54",
"58",
"61",
"65",
"68",
"72",
"76",
"80",
"84",
"88",
"92",
"97",
"101",
"106",
"110",
"115",
"120",
"125",
"130",
"135",
"140",
"146",
"151",
"157",
"162",
"168",
"174",
"180",
"186",
"192",
"198",
"205",
"211",
"218",
"224",
"231",
"238"
] |
[
"nonn",
"easy"
] | 61 | 0 | 3 |
[
"A000115",
"A001304",
"A008616",
"A008720"
] |
[
"M0279",
"N0098"
] |
N. J. A. Sloane
| 2025-04-30T10:08:56 |
oeisdata/seq/A000/A000115.seq
|
54dc9a70b9988ac8782abf834ef56586
|
A000116
|
Number of even sequences with period 2n (bisection of A000013).
|
[
"1",
"2",
"4",
"8",
"20",
"56",
"180",
"596",
"2068",
"7316",
"26272",
"95420",
"349716",
"1290872",
"4794088",
"17896832",
"67110932",
"252648992",
"954444608",
"3616828364",
"13743921632",
"52357746896",
"199911300472",
"764877836468",
"2932031358484",
"11258999739560",
"43303843861744",
"166799988689300"
] |
[
"nonn",
"easy",
"nice"
] | 47 | 0 | 2 |
[
"A000013",
"A000116",
"A026119"
] |
[
"M1156",
"N0440"
] |
N. J. A. Sloane
| 2024-03-14T05:20:00 |
oeisdata/seq/A000/A000116.seq
|
5a1712e56f4e9fa3cbf62776a44c7a75
|
A000117
|
Number of even sequences with period 2n (bisection of A000011).
|
[
"1",
"2",
"4",
"8",
"18",
"44",
"122",
"362",
"1162",
"3914",
"13648",
"48734",
"176906",
"649532",
"2405236",
"8964800",
"33588234",
"126390032",
"477353376",
"1808676326",
"6872485104",
"26179922024",
"99957747388",
"382443112538",
"1466024067850",
"5629516646996",
"21651955485304",
"83400061453514"
] |
[
"nonn",
"easy",
"nice"
] | 33 | 0 | 2 |
[
"A000011",
"A000117"
] |
[
"M1150",
"N0438"
] |
N. J. A. Sloane
| 2022-06-26T04:14:55 |
oeisdata/seq/A000/A000117.seq
|
45d688d9597003931d18550af76b34a1
|
A000118
|
Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.
|
[
"1",
"8",
"24",
"32",
"24",
"48",
"96",
"64",
"24",
"104",
"144",
"96",
"96",
"112",
"192",
"192",
"24",
"144",
"312",
"160",
"144",
"256",
"288",
"192",
"96",
"248",
"336",
"320",
"192",
"240",
"576",
"256",
"24",
"384",
"432",
"384",
"312",
"304",
"480",
"448",
"144",
"336",
"768",
"352",
"288",
"624",
"576",
"384",
"96",
"456",
"744",
"576",
"336",
"432",
"960",
"576",
"192"
] |
[
"nonn",
"easy",
"nice"
] | 195 | 0 | 2 |
[
"A000118",
"A000122",
"A000203",
"A000265",
"A004011",
"A005879",
"A046897",
"A096727",
"A122141",
"A236923",
"A236926",
"A236927",
"A236928",
"A236930",
"A236931",
"A236932",
"A236933",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2024-10-14T12:17:28 |
oeisdata/seq/A000/A000118.seq
|
f02ceff459096cdb28ee86dfbf4469ef
|
A000119
|
Number of representations of n as a sum of distinct Fibonacci numbers.
|
[
"1",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"3",
"2",
"2",
"3",
"1",
"3",
"3",
"2",
"4",
"2",
"3",
"3",
"1",
"4",
"3",
"3",
"5",
"2",
"4",
"4",
"2",
"5",
"3",
"3",
"4",
"1",
"4",
"4",
"3",
"6",
"3",
"5",
"5",
"2",
"6",
"4",
"4",
"6",
"2",
"5",
"5",
"3",
"6",
"3",
"4",
"4",
"1",
"5",
"4",
"4",
"7",
"3",
"6",
"6",
"3",
"8",
"5",
"5",
"7",
"2",
"6",
"6",
"4",
"8",
"4",
"6",
"6",
"2",
"7",
"5",
"5",
"8",
"3",
"6",
"6",
"3",
"7",
"4",
"4",
"5",
"1",
"5",
"5",
"4",
"8",
"4",
"7",
"7",
"3",
"9",
"6",
"6",
"9",
"3",
"8",
"8",
"5"
] |
[
"nonn",
"nice",
"look"
] | 144 | 0 | 4 |
[
"A000119",
"A000121",
"A003107",
"A007000",
"A013583",
"A080097",
"A096748"
] |
[
"M0101",
"N0037"
] |
N. J. A. Sloane
| 2025-07-02T16:01:53 |
oeisdata/seq/A000/A000119.seq
|
20b91df8408c7cd21d2106dcaab33976
|
A000120
|
1's-counting sequence: number of 1's in binary expansion of n (or the binary weight of n).
|
[
"0",
"1",
"1",
"2",
"1",
"2",
"2",
"3",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"4",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"4",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"4",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"3",
"4",
"4",
"5",
"4",
"5",
"5",
"6",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"4",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"3",
"4",
"4",
"5",
"4",
"5",
"5",
"6",
"2",
"3",
"3",
"4",
"3",
"4",
"4",
"5",
"3"
] |
[
"nonn",
"easy",
"core",
"nice",
"hear",
"look",
"base"
] | 477 | 0 | 4 |
[
"A000069",
"A000120",
"A000788",
"A001620",
"A001792",
"A001969",
"A007088",
"A007814",
"A007953",
"A010062",
"A011371",
"A023416",
"A053735",
"A053737",
"A053824",
"A053827",
"A053828",
"A053829",
"A053830",
"A053831",
"A053832",
"A053833",
"A053834",
"A053835",
"A053836",
"A055640",
"A055641",
"A059015",
"A063787",
"A070939",
"A080791",
"A102669",
"A102685",
"A117804",
"A122840",
"A122841",
"A131534",
"A135416",
"A160093",
"A160094",
"A196563",
"A196564",
"A230952",
"A344716"
] |
[
"M0105",
"N0041"
] |
N. J. A. Sloane
| 2025-04-03T09:42:03 |
oeisdata/seq/A000/A000120.seq
|
9ffc7bafde07f3c14e450fcf7f4ebbed
|
A000121
|
Number of representations of n as a sum of Fibonacci numbers (1 is allowed twice as a part).
|
[
"1",
"2",
"2",
"3",
"3",
"3",
"4",
"3",
"4",
"5",
"4",
"5",
"4",
"4",
"6",
"5",
"6",
"6",
"5",
"6",
"4",
"5",
"7",
"6",
"8",
"7",
"6",
"8",
"6",
"7",
"8",
"6",
"7",
"5",
"5",
"8",
"7",
"9",
"9",
"8",
"10",
"7",
"8",
"10",
"8",
"10",
"8",
"7",
"10",
"8",
"9",
"9",
"7",
"8",
"5",
"6",
"9",
"8",
"11",
"10",
"9",
"12",
"9",
"11",
"13",
"10",
"12",
"9",
"8",
"12",
"10",
"12",
"12",
"10",
"12",
"8",
"9",
"12",
"10",
"13",
"11",
"9",
"12",
"9",
"10",
"11",
"8",
"9",
"6",
"6",
"10",
"9"
] |
[
"nonn"
] | 45 | 0 | 2 |
[
"A000119",
"A000121",
"A083853",
"A274262",
"A356874"
] |
[
"M0249",
"N0088"
] |
N. J. A. Sloane
| 2025-07-02T16:01:53 |
oeisdata/seq/A000/A000121.seq
|
7e8b0ca0e7ca985994e45d6808b912d0
|
A000122
|
Expansion of Jacobi theta function theta_3(x) = Sum_{m =-oo..oo} x^(m^2) (number of integer solutions to k^2 = n).
|
[
"1",
"2",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"0"
] |
[
"nonn",
"easy",
"nice"
] | 159 | 0 | 2 |
[
"A000007",
"A000122",
"A001650",
"A002448",
"A004015",
"A004016",
"A008444",
"A008445",
"A008446",
"A008447",
"A008448",
"A008449",
"A010052",
"A010054",
"A089801",
"A122141",
"A286815"
] | null |
N. J. A. Sloane
| 2025-05-18T07:42:33 |
oeisdata/seq/A000/A000122.seq
|
21654607a4b0738bc9f226a72b48a812
|
A000123
|
Number of binary partitions: number of partitions of 2n into powers of 2.
|
[
"1",
"2",
"4",
"6",
"10",
"14",
"20",
"26",
"36",
"46",
"60",
"74",
"94",
"114",
"140",
"166",
"202",
"238",
"284",
"330",
"390",
"450",
"524",
"598",
"692",
"786",
"900",
"1014",
"1154",
"1294",
"1460",
"1626",
"1828",
"2030",
"2268",
"2506",
"2790",
"3074",
"3404",
"3734",
"4124",
"4514",
"4964",
"5414",
"5938",
"6462",
"7060",
"7658",
"8350",
"9042",
"9828"
] |
[
"nonn",
"easy",
"core",
"nice",
"changed"
] | 301 | 0 | 2 |
[
"A000041",
"A000123",
"A002033",
"A002487",
"A002577",
"A005704",
"A005706",
"A018819",
"A023359",
"A033485",
"A040039",
"A072170",
"A089177",
"A100529",
"A145515",
"A171370"
] |
[
"M1011",
"N0378"
] |
N. J. A. Sloane
| 2025-07-16T22:29:32 |
oeisdata/seq/A000/A000123.seq
|
8229ca4080fb8d89b3f3d4cc9891c8fa
|
A000124
|
Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.
|
[
"1",
"2",
"4",
"7",
"11",
"16",
"22",
"29",
"37",
"46",
"56",
"67",
"79",
"92",
"106",
"121",
"137",
"154",
"172",
"191",
"211",
"232",
"254",
"277",
"301",
"326",
"352",
"379",
"407",
"436",
"466",
"497",
"529",
"562",
"596",
"631",
"667",
"704",
"742",
"781",
"821",
"862",
"904",
"947",
"991",
"1036",
"1082",
"1129",
"1177",
"1226",
"1276",
"1327",
"1379"
] |
[
"nonn",
"core",
"easy",
"nice",
"changed"
] | 695 | 0 | 2 |
[
"A000096",
"A000124",
"A000125",
"A000127",
"A000217",
"A002061",
"A002522",
"A002620",
"A003600",
"A005408",
"A006261",
"A014206",
"A016028",
"A016813",
"A025732",
"A025739",
"A033547",
"A051601",
"A055469",
"A055503",
"A058331",
"A072863",
"A080856",
"A086514",
"A144328",
"A161701",
"A161702",
"A161703",
"A161704",
"A161706",
"A161707",
"A161708",
"A161710",
"A161711",
"A161712",
"A161713",
"A161715",
"A177862",
"A228918",
"A263883"
] |
[
"M1041",
"N0391"
] |
N. J. A. Sloane
| 2025-07-10T10:59:02 |
oeisdata/seq/A000/A000124.seq
|
e03fe0b11c2636b9b1787cd93c7c3748
|
A000125
|
Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.
|
[
"1",
"2",
"4",
"8",
"15",
"26",
"42",
"64",
"93",
"130",
"176",
"232",
"299",
"378",
"470",
"576",
"697",
"834",
"988",
"1160",
"1351",
"1562",
"1794",
"2048",
"2325",
"2626",
"2952",
"3304",
"3683",
"4090",
"4526",
"4992",
"5489",
"6018",
"6580",
"7176",
"7807",
"8474",
"9178",
"9920",
"10701",
"11522",
"12384",
"13288",
"14235",
"15226"
] |
[
"nonn",
"easy",
"nice"
] | 288 | 0 | 2 |
[
"A000027",
"A000124",
"A000125",
"A000127",
"A002522",
"A002620",
"A003600",
"A005408",
"A006261",
"A016813",
"A047694",
"A051601",
"A058331",
"A063865",
"A077028",
"A077043",
"A080856",
"A086514",
"A100503",
"A100504",
"A123596",
"A134396",
"A152947",
"A161701",
"A161705",
"A161706",
"A161708",
"A161710",
"A161713",
"A161715",
"A283551"
] |
[
"M1100",
"N0419"
] |
N. J. A. Sloane
| 2025-03-08T15:13:32 |
oeisdata/seq/A000/A000125.seq
|
f02d61714f32ac58822dcaf7221c589a
|
A000126
|
A nonlinear binomial sum.
|
[
"1",
"2",
"4",
"8",
"15",
"27",
"47",
"80",
"134",
"222",
"365",
"597",
"973",
"1582",
"2568",
"4164",
"6747",
"10927",
"17691",
"28636",
"46346",
"75002",
"121369",
"196393",
"317785",
"514202",
"832012",
"1346240",
"2178279",
"3524547",
"5702855",
"9227432",
"14930318",
"24157782",
"39088133",
"63245949"
] |
[
"nonn",
"easy"
] | 176 | 1 | 2 |
[
"A000045",
"A000071",
"A000126",
"A001924",
"A005251",
"A007931",
"A065220",
"A066067",
"A066982",
"A122554",
"A169985"
] |
[
"M1103",
"N0421"
] |
N. J. A. Sloane
| 2025-05-13T09:58:58 |
oeisdata/seq/A000/A000126.seq
|
83f626018bc7e50f97f75dca5d9e2403
|
A000127
|
Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.
|
[
"1",
"2",
"4",
"8",
"16",
"31",
"57",
"99",
"163",
"256",
"386",
"562",
"794",
"1093",
"1471",
"1941",
"2517",
"3214",
"4048",
"5036",
"6196",
"7547",
"9109",
"10903",
"12951",
"15276",
"17902",
"20854",
"24158",
"27841",
"31931",
"36457",
"41449",
"46938",
"52956",
"59536",
"66712",
"74519",
"82993",
"92171",
"102091",
"112792",
"124314",
"136698"
] |
[
"nonn",
"easy",
"nice"
] | 232 | 1 | 2 |
[
"A000012",
"A000027",
"A000124",
"A000125",
"A000127",
"A002522",
"A005408",
"A006261",
"A007318",
"A008859",
"A008863",
"A016813",
"A058331",
"A080856",
"A086514",
"A161701",
"A161702",
"A161703",
"A161704",
"A161706",
"A161707",
"A161708",
"A161710",
"A161711",
"A161712",
"A161713",
"A161715",
"A219531",
"A223718"
] |
[
"M1119",
"N0427"
] |
N. J. A. Sloane
| 2025-06-01T09:14:08 |
oeisdata/seq/A000/A000127.seq
|
ad109d058396f43e52521f3eb7e09282
|
A000128
|
A nonlinear binomial sum.
|
[
"1",
"2",
"4",
"8",
"16",
"31",
"58",
"105",
"185",
"319",
"541",
"906",
"1503",
"2476",
"4058",
"6626",
"10790",
"17537",
"28464",
"46155",
"74791",
"121137",
"196139",
"317508",
"513901",
"831686",
"1345888",
"2177900",
"3524140",
"5702419",
"9226966",
"14929821",
"24157253",
"39087571",
"63245353",
"102333486"
] |
[
"nonn",
"easy"
] | 62 | 1 | 2 |
[
"A000045",
"A000071",
"A000126",
"A000128"
] |
[
"M1120",
"N0428"
] |
N. J. A. Sloane
| 2025-01-05T19:51:30 |
oeisdata/seq/A000/A000128.seq
|
cb8afc4b57f2ab668339aee0a5bdca80
|
A000129
|
Pell numbers: a(0) = 0, a(1) = 1; for n > 1, a(n) = 2*a(n-1) + a(n-2).
|
[
"0",
"1",
"2",
"5",
"12",
"29",
"70",
"169",
"408",
"985",
"2378",
"5741",
"13860",
"33461",
"80782",
"195025",
"470832",
"1136689",
"2744210",
"6625109",
"15994428",
"38613965",
"93222358",
"225058681",
"543339720",
"1311738121",
"3166815962",
"7645370045",
"18457556052",
"44560482149",
"107578520350",
"259717522849"
] |
[
"nonn",
"easy",
"core",
"cofr",
"nice",
"frac"
] | 1,065 | 0 | 3 |
[
"A000045",
"A000129",
"A001076",
"A001333",
"A001622",
"A002203",
"A002532",
"A002533",
"A002605",
"A005409",
"A005668",
"A006190",
"A006497",
"A008555",
"A014176",
"A015518",
"A015519",
"A021083",
"A026150",
"A034867",
"A038207",
"A041025",
"A041041",
"A041061",
"A041085",
"A041113",
"A041145",
"A041181",
"A046717",
"A048739",
"A049666",
"A051927",
"A052918",
"A054413",
"A054456",
"A063727",
"A073133",
"A077985",
"A083098",
"A083099",
"A083100",
"A084057",
"A096669",
"A096670",
"A097075",
"A097076",
"A098316",
"A099371",
"A131980",
"A133156",
"A135387",
"A140455",
"A143808",
"A153346",
"A154325",
"A154597",
"A157103",
"A172236",
"A175181",
"A178765",
"A214027",
"A214028",
"A243399",
"A352361"
] |
[
"M1413",
"N0552"
] |
N. J. A. Sloane
| 2025-04-19T03:50:01 |
oeisdata/seq/A000/A000129.seq
|
109f11feee1f75e4b1383d0ca781c6b4
|
A000130
|
One-half the number of permutations of length n with exactly 1 rising or falling successions.
|
[
"0",
"0",
"1",
"2",
"5",
"20",
"115",
"790",
"6217",
"55160",
"545135",
"5938490",
"70686805",
"912660508",
"12702694075",
"189579135710",
"3019908731105",
"51139445487680",
"917345570926087",
"17376071107513090",
"346563420097249645",
"7259714390232227300",
"159352909727731210835",
"3657569576966074846118"
] |
[
"nonn"
] | 25 | 0 | 4 |
[
"A000130",
"A002464",
"A010028",
"A086852",
"A086853"
] |
[
"M1528",
"N0598"
] |
N. J. A. Sloane
| 2015-03-27T03:23:48 |
oeisdata/seq/A000/A000130.seq
|
ef4ce867926dc758c29649fae968c77c
|
A000131
|
Number of asymmetrical dissections of n-gon.
|
[
"2",
"5",
"21",
"61",
"214",
"669",
"2240",
"7330",
"24695",
"83257",
"284928",
"981079",
"3410990",
"11937328",
"42075242",
"149171958",
"531866972",
"1905842605",
"6861162880",
"24805692978",
"90035940227",
"327987890608",
"1198853954688",
"4395797189206",
"16165195705544",
"59609156824273",
"220373268471398",
"816677398144221"
] |
[
"nonn"
] | 40 | 7 | 1 |
[
"A000063",
"A000131"
] |
[
"M1535",
"N0599"
] |
N. J. A. Sloane
| 2015-10-08T15:21:21 |
oeisdata/seq/A000/A000131.seq
|
05cb0f31cdb6ef4981439b99c56f608a
|
A000132
|
Number of ways of writing n as a sum of 5 squares.
|
[
"1",
"10",
"40",
"80",
"90",
"112",
"240",
"320",
"200",
"250",
"560",
"560",
"400",
"560",
"800",
"960",
"730",
"480",
"1240",
"1520",
"752",
"1120",
"1840",
"1600",
"1200",
"1210",
"2000",
"2240",
"1600",
"1680",
"2720",
"3200",
"1480",
"1440",
"3680",
"3040",
"2250",
"2800",
"3280",
"4160",
"2800",
"1920",
"4320",
"5040",
"2800",
"3472",
"5920"
] |
[
"nonn",
"easy"
] | 82 | 0 | 2 |
[
"A000118",
"A000132",
"A025429",
"A122141",
"A286815"
] | null |
N. J. A. Sloane
| 2024-06-23T04:09:39 |
oeisdata/seq/A000/A000132.seq
|
1db4fe9b0110c84e5c8234cc40cf87ad
|
A000133
|
Number of Boolean functions of n variables.
|
[
"2",
"5",
"30",
"2288",
"67172352",
"144115192303714304",
"1329227995784915891206435945914040320",
"226156424291633194186662080095093570364871077725232774230036394136943198208"
] |
[
"nonn",
"easy",
"nice"
] | 29 | 1 | 1 | null |
[
"M1547",
"N0604"
] |
N. J. A. Sloane
| 2020-09-04T13:49:29 |
oeisdata/seq/A000/A000133.seq
|
4606b5697bf782f658bf3d98dcb7fb42
|
A000134
|
Positive zeros of Bessel function of order 0 rounded to nearest integer.
|
[
"2",
"6",
"9",
"12",
"15",
"18",
"21",
"24",
"27",
"31",
"34",
"37",
"40",
"43",
"46",
"49",
"53",
"56",
"59",
"62",
"65",
"68",
"71",
"75",
"78",
"81",
"84",
"87",
"90",
"93",
"97",
"100",
"103",
"106",
"109",
"112",
"115",
"119",
"122",
"125",
"128",
"131",
"134",
"137",
"141",
"144",
"147",
"150",
"153",
"156",
"159",
"163",
"166",
"169",
"172",
"175",
"178",
"181",
"185",
"188"
] |
[
"nonn"
] | 27 | 1 | 1 | null |
[
"M1570",
"N0613"
] |
N. J. A. Sloane
| 2018-05-08T15:11:52 |
oeisdata/seq/A000/A000134.seq
|
37fb5af96f39e436f96850c97f343d69
|
A000135
|
Number of partitions into non-integral powers.
|
[
"1",
"2",
"6",
"13",
"24",
"42",
"73",
"125",
"204",
"324",
"511",
"801",
"1228",
"1856",
"2780",
"4135",
"6084",
"8873",
"12847",
"18481",
"26416",
"37473",
"52871",
"74216",
"103596",
"143841",
"198839",
"273654",
"374987",
"511735",
"695559",
"941932",
"1271139",
"1709474",
"2291195",
"3061385",
"4078152",
"5416322"
] |
[
"nonn"
] | 18 | 1 | 2 |
[
"A000135",
"A000148",
"A000158",
"A000160"
] |
[
"M1595",
"N0622"
] |
N. J. A. Sloane
| 2015-06-27T17:54:46 |
oeisdata/seq/A000/A000135.seq
|
4b427589abda581851808eef1153dae7
|
A000136
|
Number of ways of folding a strip of n labeled stamps.
|
[
"1",
"2",
"6",
"16",
"50",
"144",
"462",
"1392",
"4536",
"14060",
"46310",
"146376",
"485914",
"1557892",
"5202690",
"16861984",
"56579196",
"184940388",
"622945970",
"2050228360",
"6927964218",
"22930109884",
"77692142980",
"258360586368",
"877395996200",
"2929432171328",
"9968202968958",
"33396290888520",
"113837957337750"
] |
[
"nonn"
] | 103 | 1 | 2 |
[
"A000136",
"A000560"
] |
[
"M1614",
"N0630"
] |
N. J. A. Sloane
| 2025-04-04T15:45:08 |
oeisdata/seq/A000/A000136.seq
|
278c3ff615cf84235756a782c4fbadb4
|
A000137
|
Series-parallel numbers.
|
[
"1",
"2",
"6",
"18",
"58",
"186",
"614",
"2034",
"6818",
"22970",
"77858",
"264970",
"905294",
"3102434",
"10661370",
"36722642",
"126752218",
"438294018",
"1518032598",
"5265341314",
"18286911130",
"63586988434",
"221342104842",
"771235606050",
"2689688538646",
"9388096331642"
] |
[
"nonn",
"easy"
] | 31 | 1 | 2 |
[
"A000084",
"A000137",
"A036654",
"A036655",
"A058756"
] |
[
"M1625",
"N0636"
] |
N. J. A. Sloane
| 2017-08-08T08:44:24 |
oeisdata/seq/A000/A000137.seq
|
754791f465fc0faf00bd15662c131dda
|
A000138
|
Expansion of e.g.f. exp(-x^4/4)/(1-x).
|
[
"1",
"1",
"2",
"6",
"18",
"90",
"540",
"3780",
"31500",
"283500",
"2835000",
"31185000",
"372972600",
"4848643800",
"67881013200",
"1018215198000",
"16294848570000",
"277012425690000",
"4986223662420000",
"94738249585980000",
"1894745192712372000",
"39789649046959812000",
"875372279033115864000"
] |
[
"nonn",
"easy"
] | 49 | 0 | 3 |
[
"A000090",
"A000138",
"A000142",
"A000266",
"A060725",
"A060726",
"A060727"
] |
[
"M1635",
"N0638"
] |
N. J. A. Sloane
| 2024-03-04T19:36:38 |
oeisdata/seq/A000/A000138.seq
|
9eda5ffa15361fa5ba94572d11b649d0
|
A000139
|
a(n) = 2*(3*n)! / ((2*n+1)!*(n+1)!).
|
[
"2",
"1",
"2",
"6",
"22",
"91",
"408",
"1938",
"9614",
"49335",
"260130",
"1402440",
"7702632",
"42975796",
"243035536",
"1390594458",
"8038677054",
"46892282815",
"275750636070",
"1633292229030",
"9737153323590",
"58392041019795",
"352044769046880",
"2132866978427640",
"12980019040145352",
"79319075627675556"
] |
[
"nonn",
"easy",
"nice"
] | 263 | 0 | 1 |
[
"A000139",
"A000142",
"A000309",
"A001764",
"A004677",
"A005802",
"A006335",
"A121545",
"A210664",
"A218473",
"A233389"
] |
[
"M1660",
"N0651"
] |
N. J. A. Sloane, entry revised Apr 24 2012
| 2025-05-08T10:52:18 |
oeisdata/seq/A000/A000139.seq
|
ffa3101089401cb540eb16ebbdf572f6
|
A000140
|
Kendall-Mann numbers: the most common number of inversions in a permutation on n letters is floor(n*(n-1)/4); a(n) is the number of permutations with this many inversions.
|
[
"1",
"1",
"2",
"6",
"22",
"101",
"573",
"3836",
"29228",
"250749",
"2409581",
"25598186",
"296643390",
"3727542188",
"50626553988",
"738680521142",
"11501573822788",
"190418421447330",
"3344822488498265",
"62119523114983224",
"1214967840930909302",
"24965661442811799655",
"538134522243713149122"
] |
[
"nonn",
"easy",
"core",
"nice"
] | 161 | 1 | 3 |
[
"A000124",
"A000140",
"A001147",
"A008302",
"A128566",
"A181609",
"A186888"
] |
[
"M1665",
"N0655"
] |
N. J. A. Sloane
| 2025-07-02T16:01:53 |
oeisdata/seq/A000/A000140.seq
|
74c2da773e25fc183adca38e3ba5c1cb
|
A000141
|
Number of ways of writing n as a sum of 6 squares.
|
[
"1",
"12",
"60",
"160",
"252",
"312",
"544",
"960",
"1020",
"876",
"1560",
"2400",
"2080",
"2040",
"3264",
"4160",
"4092",
"3480",
"4380",
"7200",
"6552",
"4608",
"8160",
"10560",
"8224",
"7812",
"10200",
"13120",
"12480",
"10104",
"14144",
"19200",
"16380",
"11520",
"17400",
"24960",
"18396",
"16440",
"24480",
"27200"
] |
[
"nonn",
"easy",
"nice"
] | 80 | 0 | 2 |
[
"A000141",
"A002173",
"A050470",
"A122141",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2024-06-21T12:39:18 |
oeisdata/seq/A000/A000141.seq
|
7e4162d5cffc6ed5cda277d93fbff3dc
|
A000142
|
Factorial numbers: n! = 1*2*3*4*...*n (order of symmetric group S_n, number of permutations of n letters).
|
[
"1",
"1",
"2",
"6",
"24",
"120",
"720",
"5040",
"40320",
"362880",
"3628800",
"39916800",
"479001600",
"6227020800",
"87178291200",
"1307674368000",
"20922789888000",
"355687428096000",
"6402373705728000",
"121645100408832000",
"2432902008176640000",
"51090942171709440000",
"1124000727777607680000"
] |
[
"core",
"easy",
"nonn",
"nice"
] | 849 | 0 | 3 |
[
"A000142",
"A000165",
"A000169",
"A001013",
"A001044",
"A001563",
"A003319",
"A003422",
"A007623",
"A009445",
"A010050",
"A012245",
"A033312",
"A034886",
"A038507",
"A045509",
"A045510",
"A045511",
"A045516",
"A045517",
"A045518",
"A045519",
"A045520",
"A045521",
"A045522",
"A045523",
"A045524",
"A045525",
"A045526",
"A045527",
"A045528",
"A045529",
"A047920",
"A048631",
"A052186",
"A053657",
"A063992",
"A075513",
"A144107",
"A144108",
"A152917",
"A163176",
"A173280",
"A230960",
"A230961",
"A233589",
"A245334",
"A249026",
"A258773",
"A282021"
] |
[
"M1675",
"N0659"
] |
N. J. A. Sloane
| 2025-07-02T11:32:06 |
oeisdata/seq/A000/A000142.seq
|
960fc3104d8203ed8d9b5b6db5f23592
|
A000143
|
Number of ways of writing n as a sum of 8 squares.
|
[
"1",
"16",
"112",
"448",
"1136",
"2016",
"3136",
"5504",
"9328",
"12112",
"14112",
"21312",
"31808",
"35168",
"38528",
"56448",
"74864",
"78624",
"84784",
"109760",
"143136",
"154112",
"149184",
"194688",
"261184",
"252016",
"246176",
"327040",
"390784",
"390240",
"395136",
"476672",
"599152",
"596736",
"550368",
"693504",
"859952"
] |
[
"nonn",
"easy"
] | 107 | 0 | 2 |
[
"A000118",
"A000122",
"A000141",
"A000143",
"A000700",
"A004018",
"A008457",
"A010054",
"A010815",
"A035016",
"A121373",
"A122141",
"A286815"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000143.seq
|
b2521b2c6519e67cc46f2188cd28da98
|
A000144
|
Number of ways of writing n as a sum of 10 squares.
|
[
"1",
"20",
"180",
"960",
"3380",
"8424",
"16320",
"28800",
"52020",
"88660",
"129064",
"175680",
"262080",
"386920",
"489600",
"600960",
"840500",
"1137960",
"1330420",
"1563840",
"2050344",
"2611200",
"2986560",
"3358080",
"4194240",
"5318268",
"5878440",
"6299520",
"7862400",
"9619560"
] |
[
"nonn",
"easy"
] | 52 | 0 | 2 |
[
"A000144",
"A122141",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2019-11-01T11:32:24 |
oeisdata/seq/A000/A000144.seq
|
a2e33ff492f306c265fce787c1e3f65b
|
A000145
|
Number of ways of writing n as a sum of 12 squares.
|
[
"1",
"24",
"264",
"1760",
"7944",
"25872",
"64416",
"133056",
"253704",
"472760",
"825264",
"1297056",
"1938336",
"2963664",
"4437312",
"6091584",
"8118024",
"11368368",
"15653352",
"19822176",
"24832944",
"32826112",
"42517728",
"51425088",
"61903776",
"78146664",
"98021616"
] |
[
"nonn",
"easy"
] | 55 | 0 | 2 |
[
"A000145",
"A000735",
"A029751",
"A122141",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:27 |
oeisdata/seq/A000/A000145.seq
|
a2a96aadb8021298d584fd406b797b89
|
A000146
|
From von Staudt-Clausen representation of Bernoulli numbers: a(n) = Bernoulli(2n) + Sum_{(p-1)|2n} 1/p.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"-6",
"56",
"-528",
"6193",
"-86579",
"1425518",
"-27298230",
"601580875",
"-15116315766",
"429614643062",
"-13711655205087",
"488332318973594",
"-19296579341940067",
"841693047573682616",
"-40338071854059455412",
"2115074863808199160561",
"-120866265222965259346026"
] |
[
"sign",
"nice",
"easy"
] | 71 | 1 | 7 |
[
"A000146",
"A002882",
"A003245",
"A127187",
"A127188"
] |
[
"M1717",
"N0680"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000146.seq
|
3ad7cfe472d72c50ea651ac0e017c2cd
|
A000147
|
Number of trees of diameter 5.
|
[
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"7",
"14",
"32",
"58",
"110",
"187",
"322",
"519",
"839",
"1302",
"2015",
"3032",
"4542",
"6668",
"9738",
"14006",
"20036",
"28324",
"39830",
"55473",
"76875",
"105692",
"144629",
"196585",
"266038",
"357952",
"479664",
"639519",
"849425",
"1123191",
"1479972",
"1942284",
"2540674",
"3311415"
] |
[
"nonn"
] | 32 | 1 | 7 |
[
"A000147",
"A000251",
"A034853"
] |
[
"M1741",
"N0690"
] |
N. J. A. Sloane
| 2017-04-03T04:22:36 |
oeisdata/seq/A000/A000147.seq
|
36beefc18879a22d943a7aca3bf6c1e4
|
A000148
|
Number of partitions into non-integral powers.
|
[
"1",
"2",
"7",
"15",
"28",
"45",
"70",
"100",
"138",
"183",
"242",
"310",
"388",
"481",
"583",
"701",
"838",
"984",
"1152",
"1337",
"1535",
"1757",
"2001",
"2262",
"2545",
"2855",
"3183",
"3540",
"3926",
"4335",
"4770",
"5233",
"5728",
"6248",
"6801",
"7388",
"8005",
"8658",
"9345",
"10064",
"10824",
"11620",
"12452",
"13324",
"14236"
] |
[
"nonn"
] | 34 | 2 | 2 |
[
"A000148",
"A000158",
"A000160",
"A000327"
] |
[
"M1743",
"N0691"
] |
N. J. A. Sloane
| 2024-12-10T12:10:56 |
oeisdata/seq/A000/A000148.seq
|
51aa8829c8f590a4e4c83a048ea5e098
|
A000149
|
a(n) = floor(e^n).
|
[
"1",
"2",
"7",
"20",
"54",
"148",
"403",
"1096",
"2980",
"8103",
"22026",
"59874",
"162754",
"442413",
"1202604",
"3269017",
"8886110",
"24154952",
"65659969",
"178482300",
"485165195",
"1318815734",
"3584912846",
"9744803446",
"26489122129",
"72004899337",
"195729609428",
"532048240601",
"1446257064291"
] |
[
"nonn",
"easy"
] | 56 | 0 | 2 |
[
"A000079",
"A000149",
"A000227",
"A000244",
"A001113",
"A001671",
"A003619",
"A064780",
"A116472"
] |
[
"M1751",
"N0695"
] |
N. J. A. Sloane
| 2024-07-30T02:16:48 |
oeisdata/seq/A000/A000149.seq
|
4ae4ef266e574f6b5fd55a524d7cffc0
|
A000150
|
Number of dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.
|
[
"0",
"0",
"1",
"2",
"7",
"20",
"66",
"212",
"715",
"2424",
"8398",
"29372",
"104006",
"371384",
"1337220",
"4847208",
"17678835",
"64821680",
"238819350",
"883629164",
"3282060210",
"12233125112",
"45741281820",
"171529777432",
"644952073662",
"2430973096720",
"9183676536076"
] |
[
"nonn",
"nice",
"easy"
] | 71 | 0 | 4 |
[
"A000150",
"A005430",
"A007595",
"A051168"
] |
[
"M1753",
"N0696"
] |
N. J. A. Sloane
| 2022-12-31T01:32:52 |
oeisdata/seq/A000/A000150.seq
|
eae3cd43a08b1381d5fdb391c951df3a
|
A000151
|
Number of oriented rooted trees with n nodes. Also rooted trees with n nodes and 2-colored non-root nodes.
|
[
"1",
"2",
"7",
"26",
"107",
"458",
"2058",
"9498",
"44947",
"216598",
"1059952",
"5251806",
"26297238",
"132856766",
"676398395",
"3466799104",
"17873508798",
"92630098886",
"482292684506",
"2521610175006",
"13233573019372",
"69687684810980",
"368114512431638",
"1950037285256658",
"10357028326495097",
"55140508518522726",
"294219119815868952",
"1573132563600386854",
"8427354035116949486",
"45226421721391554194"
] |
[
"nonn",
"eigen",
"nice"
] | 92 | 1 | 2 |
[
"A000151",
"A000238",
"A005750",
"A005751",
"A038055",
"A242249",
"A245870"
] |
[
"M1770",
"N0701"
] |
N. J. A. Sloane
| 2020-12-26T09:56:22 |
oeisdata/seq/A000/A000151.seq
|
a268ec56fe1061fdedaadd8e375dfde8
|
A000152
|
Number of ways of writing n as a sum of 16 squares.
|
[
"1",
"32",
"480",
"4480",
"29152",
"140736",
"525952",
"1580800",
"3994080",
"8945824",
"18626112",
"36714624",
"67978880",
"118156480",
"197120256",
"321692928",
"509145568",
"772845120",
"1143441760",
"1681379200",
"2428524096",
"3392205824",
"4658843520",
"6411152640"
] |
[
"nonn",
"easy"
] | 42 | 0 | 2 |
[
"A000152",
"A022047",
"A122141",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2018-10-02T05:07:05 |
oeisdata/seq/A000/A000152.seq
|
4db3c5473578078ed429b6703423cb1a
|
A000153
|
a(n) = n*a(n-1) + (n-2)*a(n-2), with a(0) = 0, a(1) = 1.
|
[
"0",
"1",
"2",
"7",
"32",
"181",
"1214",
"9403",
"82508",
"808393",
"8743994",
"103459471",
"1328953592",
"18414450877",
"273749755382",
"4345634192131",
"73362643649444",
"1312349454922513",
"24796092486996338",
"493435697986613143",
"10315043624498196944"
] |
[
"nonn",
"easy",
"changed"
] | 124 | 0 | 3 |
[
"A000153",
"A000255",
"A000261",
"A001710",
"A001909",
"A001910",
"A055790",
"A086764",
"A090010",
"A090012",
"A090016"
] |
[
"M1791",
"N0706"
] |
N. J. A. Sloane
| 2025-07-06T22:27:51 |
oeisdata/seq/A000/A000153.seq
|
8e6babb93dee5553cd4cd78bbc0c35aa
|
A000154
|
Erroneous version of A003713.
|
[
"1",
"1",
"2",
"7",
"35",
"228",
"1834",
"17382",
"195866",
"2487832",
"35499576",
"562356672",
"9794156448",
"186025364016",
"3826961710272",
"84775065603888",
"2011929826983504"
] |
[
"dead"
] | 16 | 0 | 3 | null |
[
"M1798"
] | null | 2017-10-23T18:00:48 |
oeisdata/seq/A000/A000154.seq
|
fac44cbfde27451d44bf80b3aaf341c5
|
A000155
|
Nearest integer to modified Bessel function K_n(1).
|
[
"0",
"1",
"2",
"7",
"44",
"361",
"3654",
"44207",
"622552",
"10005041",
"180713290",
"3624270839",
"79914671748",
"1921576392793",
"50040900884366",
"1403066801155039",
"42142044935535536",
"1349948504738292193",
"45940391206037470098"
] |
[
"nonn"
] | 41 | 0 | 3 | null |
[
"M1810",
"N0716"
] |
N. J. A. Sloane
| 2022-06-01T01:48:14 |
oeisdata/seq/A000/A000155.seq
|
48906a505f2aa32d092d6cb698014476
|
A000156
|
Number of ways of writing n as a sum of 24 squares.
|
[
"1",
"48",
"1104",
"16192",
"170064",
"1362336",
"8662720",
"44981376",
"195082320",
"721175536",
"2319457632",
"6631997376",
"17231109824",
"41469483552",
"93703589760",
"200343312768",
"407488018512",
"793229226336",
"1487286966928",
"2697825744960",
"4744779429216"
] |
[
"nonn",
"easy"
] | 63 | 0 | 2 |
[
"A000156",
"A122141",
"A286815",
"A319574"
] | null |
N. J. A. Sloane
| 2018-10-02T05:03:10 |
oeisdata/seq/A000/A000156.seq
|
671dcf41a8a4d1b37f9b0f86208d3e69
|
A000157
|
Number of Boolean functions of n variables.
|
[
"1",
"2",
"7",
"111",
"308063",
"100126976263592",
"131867858014413288241233435594064",
"2804519150441879896741320496043335469582478995067528608051651559815168"
] |
[
"nonn"
] | 30 | 1 | 2 |
[
"A000157",
"A000370"
] |
[
"M1818",
"N0721"
] |
N. J. A. Sloane
| 2019-01-13T15:57:29 |
oeisdata/seq/A000/A000157.seq
|
2bbf799ee5c188f145248b54ae4a37e2
|
A000158
|
Number of partitions into non-integral powers.
|
[
"1",
"2",
"8",
"19",
"41",
"78",
"134",
"218",
"339",
"506",
"730",
"1023",
"1397",
"1884",
"2477",
"3218",
"4118",
"5192",
"6486",
"8010",
"9795",
"11888",
"14302",
"17066",
"20256",
"23889",
"27999",
"32637",
"37863",
"43695",
"50218",
"57495",
"65545",
"74431",
"84257",
"95030",
"106840",
"119799",
"133941",
"149311",
"166071"
] |
[
"nonn"
] | 16 | 3 | 2 |
[
"A000148",
"A000158",
"A000160",
"A000234"
] |
[
"M1830",
"N0726"
] |
N. J. A. Sloane
| 2015-06-27T17:50:28 |
oeisdata/seq/A000/A000158.seq
|
dacedb221b4d6ff7d604947551cd3878
|
A000159
|
Coefficients of ménage hit polynomials.
|
[
"2",
"8",
"20",
"152",
"994",
"7888",
"70152",
"695760",
"7603266",
"90758872",
"1174753372",
"16386899368",
"245046377410",
"3910358788256",
"66323124297872",
"1191406991067168",
"22596344660865282",
"451208920617687720",
"9461897733571886372",
"207894669895136763704",
"4776019866458134139042"
] |
[
"nonn"
] | 50 | 3 | 1 |
[
"A000159",
"A000179",
"A000425",
"A058087"
] |
[
"M1834",
"N0728"
] |
N. J. A. Sloane, Simon Plouffe
| 2019-06-10T23:15:14 |
oeisdata/seq/A000/A000159.seq
|
5e41e216fb36f79ed13f601adae94db9
|
A000160
|
Number of partitions into non-integral powers.
|
[
"1",
"2",
"8",
"21",
"48",
"99",
"186",
"330",
"556",
"895",
"1397",
"2107",
"3097",
"4459",
"6264",
"8644",
"11760",
"15742",
"20790",
"27128",
"34993",
"44664",
"56473",
"70784",
"87995",
"108564",
"132970",
"161828",
"195686",
"235274",
"281349",
"334682",
"396202",
"466849",
"547712",
"639935",
"744716",
"863443"
] |
[
"nonn"
] | 15 | 4 | 2 | null |
[
"M1835",
"N0729"
] |
N. J. A. Sloane
| 2015-06-27T17:50:57 |
oeisdata/seq/A000/A000160.seq
|
34ac60ed239382f33f199052ad5e3cb2
|
A000161
|
Number of partitions of n into 2 squares.
|
[
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"2",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"2",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"1",
"0"
] |
[
"nonn",
"core",
"easy",
"nice"
] | 85 | 0 | 26 |
[
"A000161",
"A000164",
"A000174",
"A000290",
"A000925",
"A001481",
"A002635",
"A002654",
"A010052",
"A025426",
"A025427",
"A025428",
"A063725",
"A247367"
] | null |
N. J. A. Sloane
| 2022-09-09T02:33:47 |
oeisdata/seq/A000/A000161.seq
|
b6db4aced934e287e993e86d182fcd01
|
A000162
|
Number of 3-dimensional polyominoes (or polycubes) with n cells.
|
[
"1",
"1",
"2",
"8",
"29",
"166",
"1023",
"6922",
"48311",
"346543",
"2522522",
"18598427",
"138462649",
"1039496297",
"7859514470",
"59795121480",
"457409613979",
"3516009200564",
"27144143923583",
"210375361379518",
"1636229771639924",
"12766882202755783"
] |
[
"nonn",
"nice",
"hard",
"more"
] | 101 | 1 | 3 |
[
"A000162",
"A001931",
"A007743",
"A038119",
"A066453",
"A371397"
] |
[
"M1845",
"N0731"
] |
N. J. A. Sloane and J. H. Conway
| 2025-07-03T17:44:58 |
oeisdata/seq/A000/A000162.seq
|
5315901edc91cf360d0be6c3b6977d18
|
A000163
|
Series-parallel numbers.
|
[
"2",
"8",
"34",
"136",
"538",
"2080",
"7970",
"30224",
"113874",
"426520",
"1590338",
"5906640",
"21866794",
"80725280",
"297292610",
"1092539736",
"4007553922",
"14675748416",
"53663197698",
"195962433328",
"714734393378",
"2603994002280",
"9477643739746",
"34463730424720"
] |
[
"nonn"
] | 19 | 2 | 1 | null |
[
"M1852",
"N0732"
] |
N. J. A. Sloane
| 2016-02-09T07:39:08 |
oeisdata/seq/A000/A000163.seq
|
4a70c78112030d797eb6fe508b6591df
|
A000164
|
Number of partitions of n into 3 squares (allowing part zero).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"0",
"1",
"2",
"2",
"2",
"0",
"2",
"1",
"0",
"1",
"2",
"2",
"1",
"2",
"1",
"2",
"0",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"0",
"1",
"2",
"3",
"2",
"1",
"2",
"3",
"0",
"1",
"2",
"1",
"2",
"0",
"2",
"2",
"0",
"1",
"3",
"3",
"1",
"2",
"2",
"1",
"0",
"2",
"2",
"3",
"2",
"1",
"2",
"1",
"0",
"1",
"4",
"2",
"2",
"1",
"2",
"3",
"0",
"1",
"4",
"3",
"1",
"0",
"1",
"2",
"0",
"1",
"2",
"3",
"3",
"2",
"4",
"2",
"0",
"2"
] |
[
"nonn"
] | 44 | 0 | 10 |
[
"A000161",
"A000164",
"A000174",
"A002635",
"A004215",
"A005875",
"A016727",
"A094942",
"A124966"
] | null |
N. J. A. Sloane
| 2022-10-17T01:45:44 |
oeisdata/seq/A000/A000164.seq
|
aa1f1adedfa727b8c9ad8cc3901dc11f
|
A000165
|
Double factorial of even numbers: (2n)!! = 2^n*n!.
|
[
"1",
"2",
"8",
"48",
"384",
"3840",
"46080",
"645120",
"10321920",
"185794560",
"3715891200",
"81749606400",
"1961990553600",
"51011754393600",
"1428329123020800",
"42849873690624000",
"1371195958099968000",
"46620662575398912000",
"1678343852714360832000",
"63777066403145711616000"
] |
[
"nonn",
"easy",
"nice",
"changed"
] | 340 | 0 | 2 |
[
"A000079",
"A000108",
"A000111",
"A000142",
"A000165",
"A001044",
"A001147",
"A001563",
"A001804",
"A001805",
"A001806",
"A001807",
"A001813",
"A001907",
"A002454",
"A006882",
"A007060",
"A008277",
"A008544",
"A010050",
"A019774",
"A028326",
"A028338",
"A032184",
"A035038",
"A039683",
"A039757",
"A047053",
"A047055",
"A047058",
"A047657",
"A060187",
"A075271",
"A084947",
"A084948",
"A084949",
"A092605",
"A133314",
"A145271",
"A193229",
"A208057",
"A329070"
] |
[
"M1878",
"N0742"
] |
N. J. A. Sloane
| 2025-07-15T18:06:54 |
oeisdata/seq/A000/A000165.seq
|
e810281e38300200346089489f8c3bcd
|
A000166
|
Subfactorial or rencontres numbers, or derangements: number of permutations of n elements with no fixed points.
|
[
"1",
"0",
"1",
"2",
"9",
"44",
"265",
"1854",
"14833",
"133496",
"1334961",
"14684570",
"176214841",
"2290792932",
"32071101049",
"481066515734",
"7697064251745",
"130850092279664",
"2355301661033953",
"44750731559645106",
"895014631192902121",
"18795307255050944540",
"413496759611120779881",
"9510425471055777937262"
] |
[
"core",
"nonn",
"easy",
"nice"
] | 711 | 0 | 4 |
[
"A000045",
"A000108",
"A000110",
"A000142",
"A000166",
"A000204",
"A000240",
"A000255",
"A000387",
"A000449",
"A000475",
"A000522",
"A000757",
"A001120",
"A001277",
"A002467",
"A002469",
"A002741",
"A003221",
"A008279",
"A008290",
"A008291",
"A008305",
"A010027",
"A033030",
"A038205",
"A047865",
"A053556",
"A053557",
"A053871",
"A068106",
"A068985",
"A068996",
"A086764",
"A088991",
"A088992",
"A092582",
"A094216",
"A094638",
"A099731",
"A100492",
"A101032",
"A101033",
"A101559",
"A101560",
"A103360",
"A103361",
"A103816",
"A129135",
"A159610",
"A216963",
"A281682",
"A323671",
"A334715",
"A364068"
] |
[
"M1937",
"N0766"
] |
N. J. A. Sloane
| 2025-04-21T13:24:00 |
oeisdata/seq/A000/A000166.seq
|
7151a1dbfbbbbfd9f3fea0048fc95f41
|
A000167
|
Nearest integer to modified Bessel function K_n(2).
|
[
"0",
"0",
"0",
"1",
"2",
"9",
"49",
"306",
"2188",
"17810",
"162482",
"1642635",
"18231462",
"220420179",
"2883693795",
"40592133316",
"611765693528",
"9828843229764",
"167702100599524",
"3028466654021205",
"57708568527002410",
"1157199837194069405"
] |
[
"nonn"
] | 33 | 0 | 5 | null |
[
"M1938",
"N0767"
] |
N. J. A. Sloane
| 2023-12-09T07:04:23 |
oeisdata/seq/A000/A000167.seq
|
6783048dc38761a0ee9f4ee389ff98cc
|
A000168
|
a(n) = 2*3^n*(2*n)!/(n!*(n+2)!).
|
[
"1",
"2",
"9",
"54",
"378",
"2916",
"24057",
"208494",
"1876446",
"17399772",
"165297834",
"1602117468",
"15792300756",
"157923007560",
"1598970451545",
"16365932856990",
"169114639522230",
"1762352559231660",
"18504701871932430",
"195621134074714260",
"2080697516976506220",
"22254416920705240440",
"239234981897581334730",
"2583737804493878415084"
] |
[
"nonn",
"nice",
"easy"
] | 208 | 0 | 2 |
[
"A000168",
"A000260",
"A000309",
"A000698",
"A000699",
"A002005",
"A005470",
"A006300",
"A006301",
"A062980",
"A101486",
"A104742",
"A215402",
"A238355",
"A238356",
"A238357",
"A238358",
"A238359",
"A238360",
"A267827"
] |
[
"M1940",
"N0768"
] |
N. J. A. Sloane
| 2024-08-23T03:15:08 |
oeisdata/seq/A000/A000168.seq
|
ff872bd87cb24c53b14c40823a195f76
|
A000169
|
Number of labeled rooted trees with n nodes: n^(n-1).
|
[
"1",
"2",
"9",
"64",
"625",
"7776",
"117649",
"2097152",
"43046721",
"1000000000",
"25937424601",
"743008370688",
"23298085122481",
"793714773254144",
"29192926025390625",
"1152921504606846976",
"48661191875666868481",
"2185911559738696531968",
"104127350297911241532841",
"5242880000000000000000000"
] |
[
"easy",
"core",
"nonn",
"nice"
] | 321 | 1 | 2 |
[
"A000055",
"A000081",
"A000142",
"A000169",
"A000272",
"A000312",
"A002061",
"A002720",
"A007778",
"A007830",
"A008785",
"A008791",
"A051129",
"A052746",
"A052756",
"A052764",
"A052789",
"A053506",
"A053509",
"A055302",
"A055860",
"A098686",
"A130293",
"A247363",
"A248120",
"A262974",
"A275549",
"A275558"
] |
[
"M1946",
"N0771"
] |
N. J. A. Sloane
| 2025-06-24T13:22:15 |
oeisdata/seq/A000/A000169.seq
|
49c5cbdedc3d787b32732efdfcfdcc2a
|
A000170
|
Number of ways of placing n nonattacking queens on an n X n board.
|
[
"1",
"1",
"0",
"0",
"2",
"10",
"4",
"40",
"92",
"352",
"724",
"2680",
"14200",
"73712",
"365596",
"2279184",
"14772512",
"95815104",
"666090624",
"4968057848",
"39029188884",
"314666222712",
"2691008701644",
"24233937684440",
"227514171973736",
"2207893435808352",
"22317699616364044",
"234907967154122528"
] |
[
"nonn",
"hard",
"nice"
] | 263 | 0 | 5 |
[
"A000170",
"A002562",
"A006717",
"A036464",
"A047659",
"A051906",
"A061994",
"A065256",
"A099152",
"A108792",
"A140393",
"A176186",
"A319284",
"A348129"
] |
[
"M1958",
"N0775"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000170.seq
|
9b6940c07dff8f088055180505d9d6f2
|
A000171
|
Number of self-complementary graphs with n nodes.
|
[
"1",
"0",
"0",
"1",
"2",
"0",
"0",
"10",
"36",
"0",
"0",
"720",
"5600",
"0",
"0",
"703760",
"11220000",
"0",
"0",
"9168331776",
"293293716992",
"0",
"0",
"1601371799340544",
"102484848265030656",
"0",
"0",
"3837878966366932639744",
"491247277315343649710080",
"0",
"0"
] |
[
"nonn",
"nice"
] | 68 | 1 | 5 |
[
"A000171",
"A008406",
"A047660",
"A047832",
"A051251"
] |
[
"M0014",
"N0780"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000171.seq
|
fbcb80f7d59727cc507bb06940db299a
|
A000172
|
The Franel number a(n) = Sum_{k = 0..n} binomial(n,k)^3.
|
[
"1",
"2",
"10",
"56",
"346",
"2252",
"15184",
"104960",
"739162",
"5280932",
"38165260",
"278415920",
"2046924400",
"15148345760",
"112738423360",
"843126957056",
"6332299624282",
"47737325577620",
"361077477684436",
"2739270870994736",
"20836827035351596",
"158883473753259752",
"1214171997616258240"
] |
[
"nonn",
"easy",
"nice"
] | 377 | 0 | 2 |
[
"A000079",
"A000172",
"A000578",
"A000984",
"A002893",
"A002895",
"A005258",
"A005259",
"A005260",
"A005261",
"A006077",
"A006480",
"A007318",
"A033581",
"A036917",
"A052144",
"A063007",
"A069865",
"A081085",
"A093388",
"A094424",
"A096191",
"A125143",
"A133370",
"A141057",
"A143003",
"A143007",
"A143413",
"A143414",
"A143415",
"A143583",
"A181543",
"A182421",
"A182422",
"A182446",
"A182447",
"A183204",
"A189791",
"A214262",
"A219692",
"A226535",
"A227216",
"A227454",
"A229111",
"A260667",
"A260793",
"A260832",
"A262177",
"A264541",
"A264542",
"A279619",
"A290575",
"A290576",
"A291275",
"A291284",
"A342294",
"A342295",
"A372307"
] |
[
"M1971",
"N0781"
] |
N. J. A. Sloane
| 2025-04-04T15:45:11 |
oeisdata/seq/A000/A000172.seq
|
8abdb2c93a85e794969709d5787e80e9
|
A000173
|
Unitary-sociable numbers (smallest member of each cycle).
|
[
"30",
"1482",
"2418",
"24180",
"35238",
"263820",
"395730",
"473298",
"698130",
"763620",
"2212026",
"2233554",
"172459210",
"209524210",
"341354790",
"384121920",
"525150234",
"530946330",
"582129630",
"1799281330",
"2069510520",
"2514290520",
"3344596854",
"5251502340"
] |
[
"nonn",
"nice"
] | 19 | 1 | 1 |
[
"A000173",
"A003416",
"A034444",
"A097323"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000173.seq
|
f60e34ced78596bf2f3ac2d664604f95
|
A000174
|
Number of partitions of n into 5 squares.
|
[
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"1",
"3",
"3",
"3",
"3",
"4",
"3",
"3",
"2",
"2",
"4",
"4",
"4",
"4",
"5",
"3",
"3",
"4",
"3",
"5",
"5",
"5",
"6",
"5",
"3",
"5",
"5",
"5",
"6",
"5",
"6",
"5",
"4",
"4",
"6",
"7",
"6",
"8",
"8",
"7",
"5",
"6",
"5",
"8",
"8",
"4",
"9",
"7",
"6",
"7",
"7",
"8",
"9",
"9",
"7",
"9",
"6",
"7",
"8",
"10",
"9",
"9",
"11",
"7",
"8",
"8",
"8",
"11",
"11",
"9",
"12",
"11",
"7",
"9",
"9",
"12",
"13",
"9",
"10",
"11",
"8",
"6",
"10",
"13",
"13",
"13"
] |
[
"nonn"
] | 40 | 0 | 5 |
[
"A000161",
"A000164",
"A000174",
"A000177",
"A002635",
"A010052",
"A025422",
"A025423",
"A025424",
"A025425",
"A025429",
"A295160"
] | null |
N. J. A. Sloane
| 2025-03-25T10:11:34 |
oeisdata/seq/A000/A000174.seq
|
de2ee4f099d4e74fc19571b000afd3cf
|
A000175
|
Related to zeros of Bessel function.
|
[
"1",
"1",
"2",
"11",
"38",
"946",
"4580",
"202738",
"3786092",
"261868876",
"1992367192",
"2381255244240",
"21411255538848",
"2902625722978656",
"451716954504285504",
"319933105641374465472",
"3761845343198709705600"
] |
[
"nonn"
] | 29 | 1 | 3 | null |
[
"M2000",
"N0790"
] |
N. J. A. Sloane
| 2016-08-23T04:09:31 |
oeisdata/seq/A000/A000175.seq
|
821becc1d14b59c4516047a777b79b12
|
A000176
|
Generalized tangent numbers d_(n,2).
|
[
"2",
"11",
"46",
"128",
"272",
"522",
"904",
"1408",
"2160",
"3154",
"4306",
"5888",
"7888",
"10012",
"12888",
"16384",
"19680",
"24354",
"29866",
"34816",
"41888",
"49778",
"56744",
"66816",
"78000",
"87358",
"100602",
"115712",
"128112",
"145804",
"165712",
"180224",
"203040",
"228964",
"246932",
"276480"
] |
[
"nonn"
] | 31 | 1 | 1 |
[
"A000061",
"A000176",
"A000488",
"A000518"
] |
[
"M2001",
"N0791"
] |
N. J. A. Sloane
| 2024-07-28T10:05:52 |
oeisdata/seq/A000/A000176.seq
|
9e9f772b94fc725bf4014b9d2fde2792
|
A000177
|
Number of partitions of n into 6 squares.
|
[
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"1",
"2",
"3",
"2",
"2",
"3",
"3",
"3",
"2",
"3",
"4",
"4",
"3",
"5",
"5",
"4",
"3",
"4",
"5",
"5",
"5",
"5",
"7",
"6",
"4",
"5",
"6",
"6",
"6",
"9",
"7",
"8",
"6",
"6",
"9",
"7",
"7",
"9",
"10",
"8",
"7",
"7",
"9",
"10",
"9",
"11",
"12",
"13",
"8",
"10",
"11",
"10",
"11",
"11",
"12",
"13",
"11",
"9",
"14",
"13",
"12",
"16",
"14",
"14",
"12",
"13",
"13",
"15",
"15",
"15",
"18",
"16",
"13",
"14",
"18",
"15",
"17",
"20",
"17",
"21",
"15",
"15"
] |
[
"nonn"
] | 13 | 0 | 5 | null | null |
N. J. A. Sloane
| 2016-08-28T18:18:32 |
oeisdata/seq/A000/A000177.seq
|
047e0b3cb1d219dd214ffebde0da4c0e
|
A000178
|
Superfactorials: product of first n factorials.
|
[
"1",
"1",
"2",
"12",
"288",
"34560",
"24883200",
"125411328000",
"5056584744960000",
"1834933472251084800000",
"6658606584104736522240000000",
"265790267296391946810949632000000000",
"127313963299399416749559771247411200000000000",
"792786697595796795607377086400871488552960000000000000"
] |
[
"nonn",
"nice",
"easy"
] | 329 | 0 | 3 |
[
"A000085",
"A000110",
"A000142",
"A000178",
"A000292",
"A000296",
"A001906",
"A002109",
"A005425",
"A005493",
"A005494",
"A036561",
"A036740",
"A045379",
"A051675",
"A055462",
"A087316",
"A098694",
"A098695",
"A113122",
"A113153",
"A113154",
"A113170",
"A113173",
"A113208",
"A113231",
"A113257",
"A113258",
"A113271",
"A113320",
"A113336",
"A113475",
"A113492",
"A113497",
"A113498",
"A113533",
"A113534",
"A113535",
"A114045",
"A137986",
"A137987",
"A255321",
"A255322",
"A255323",
"A255344",
"A255358",
"A255359",
"A255360",
"A287013",
"A348692",
"A349079"
] |
[
"M2049",
"N0811"
] |
N. J. A. Sloane
| 2025-04-22T11:06:41 |
oeisdata/seq/A000/A000178.seq
|
df9eace8ceaa81e554c871b9b54d89cc
|
A000179
|
Ménage numbers: a(0) = 1, a(1) = -1, and for n >= 2, a(n) = number of permutations s of [0, ..., n-1] such that s(i) != i and s(i) != i+1 (mod n) for all i.
|
[
"1",
"-1",
"0",
"1",
"2",
"13",
"80",
"579",
"4738",
"43387",
"439792",
"4890741",
"59216642",
"775596313",
"10927434464",
"164806435783",
"2649391469058",
"45226435601207",
"817056406224416",
"15574618910994665",
"312400218671253762",
"6577618644576902053",
"145051250421230224304",
"3343382818203784146955",
"80399425364623070680706",
"2013619745874493923699123"
] |
[
"sign",
"nice",
"easy"
] | 264 | 0 | 5 |
[
"A000023",
"A000179",
"A000186",
"A000904",
"A008305",
"A033999",
"A058087",
"A059375",
"A067998",
"A094047",
"A102761",
"A213234",
"A258664",
"A258665",
"A258666",
"A258667",
"A258673",
"A259212",
"A335700"
] |
[
"M2062",
"N0815"
] |
N. J. A. Sloane
| 2025-07-02T16:01:53 |
oeisdata/seq/A000/A000179.seq
|
a13dccf0dc67bbd551e612aa6fc77e52
|
A000180
|
Expansion of E.g.f. exp(-x)/(1-3x).
|
[
"1",
"2",
"13",
"116",
"1393",
"20894",
"376093",
"7897952",
"189550849",
"5117872922",
"153536187661",
"5066694192812",
"182400990941233",
"7113638646708086",
"298772823161739613",
"13444777042278282584",
"645349298029357564033",
"32912814199497235765682"
] |
[
"nonn",
"easy"
] | 65 | 0 | 2 |
[
"A000180",
"A320032"
] |
[
"M2063",
"N0816"
] |
N. J. A. Sloane, Simon Plouffe
| 2022-05-06T16:34:09 |
oeisdata/seq/A000/A000180.seq
|
3899ed9cbd7659268f9f0ecaa4d3eed3
|
A000181
|
Coefficients of ménage hit polynomials.
|
[
"2",
"15",
"60",
"469",
"3660",
"32958",
"328920",
"3614490",
"43341822",
"563144725",
"7880897892",
"118177520295",
"1890389939000",
"32130521850972",
"578260307815920",
"10985555094348948",
"219687969344126490",
"4613039009310624795",
"101479234383619208204",
"2333872309936442446905"
] |
[
"nonn"
] | 27 | 4 | 1 |
[
"A000179",
"A000181",
"A000425",
"A058087"
] |
[
"M2076",
"N0820"
] |
N. J. A. Sloane, Simon Plouffe
| 2019-06-10T22:59:36 |
oeisdata/seq/A000/A000181.seq
|
8e9b9f3de6edf1acf4262d4701e86edb
|
A000182
|
Tangent (or "Zag") numbers: e.g.f. tan(x), also (up to signs) e.g.f. tanh(x).
|
[
"1",
"2",
"16",
"272",
"7936",
"353792",
"22368256",
"1903757312",
"209865342976",
"29088885112832",
"4951498053124096",
"1015423886506852352",
"246921480190207983616",
"70251601603943959887872",
"23119184187809597841473536",
"8713962757125169296170811392",
"3729407703720529571097509625856"
] |
[
"nonn",
"core",
"easy",
"nice"
] | 515 | 1 | 2 |
[
"A000111",
"A000182",
"A000364",
"A001469",
"A002105",
"A002425",
"A002430",
"A009006",
"A009123",
"A009567",
"A009725",
"A009764",
"A012509",
"A019538",
"A024283",
"A029584",
"A036279",
"A059419",
"A064190",
"A080635",
"A101921",
"A110501",
"A162005",
"A234797",
"A258880",
"A258901",
"A350972"
] |
[
"M2096",
"N0829"
] |
N. J. A. Sloane
| 2025-06-05T10:04:12 |
oeisdata/seq/A000/A000182.seq
|
127a1a78eeb7110ecb7f5692e2b50876
|
A000183
|
Number of discordant permutations of length n.
|
[
"0",
"0",
"0",
"1",
"2",
"20",
"144",
"1265",
"12072",
"126565",
"1445100",
"17875140",
"238282730",
"3407118041",
"52034548064",
"845569542593",
"14570246018686",
"265397214435860",
"5095853023109484",
"102877234050493609",
"2178674876680100744",
"48296053720501168037",
"1118480911876659396600"
] |
[
"nonn",
"nice",
"easy"
] | 61 | 1 | 5 |
[
"A000045",
"A000183",
"A000338",
"A000561",
"A000565",
"A008305",
"A061702",
"A061703",
"A264801"
] |
[
"M2121",
"N0838"
] |
N. J. A. Sloane
| 2017-10-20T14:33:52 |
oeisdata/seq/A000/A000183.seq
|
4fa13d1a0721d84400c3474b9378aef1
|
A000184
|
Number of genus 0 rooted maps with 3 faces with n vertices.
|
[
"2",
"22",
"164",
"1030",
"5868",
"31388",
"160648",
"795846",
"3845020",
"18211380",
"84876152",
"390331292",
"1775032504",
"7995075960",
"35715205136",
"158401506118",
"698102372988",
"3059470021316",
"13341467466520",
"57918065919924",
"250419305769512",
"1078769490401032",
"4631680461623664",
"19825379450255900",
"84622558822506328",
"360270317908904328",
"1530148541536781488",
"6484511936352543096",
"27423786092731382000",
"115756362341775227888"
] |
[
"nonn"
] | 51 | 2 | 1 |
[
"A000108",
"A000184",
"A029887",
"A269920",
"A270407"
] |
[
"M2128",
"N0843"
] |
N. J. A. Sloane
| 2025-01-19T00:34:43 |
oeisdata/seq/A000/A000184.seq
|
9d6ae8625789ab4cc0ed4f34ab92e065
|
A000185
|
Coefficients of ménage hit polynomials.
|
[
"2",
"24",
"140",
"1232",
"11268",
"115056",
"1284360",
"15596208",
"204710454",
"2888897032",
"43625578836",
"702025263328",
"11993721979336",
"216822550325472",
"4135337882588880",
"82986434235959712",
"1747976804189353962",
"38559791049947726328",
"889047923669760546140"
] |
[
"nonn"
] | 25 | 5 | 1 |
[
"A000179",
"A000185",
"A000425",
"A058087"
] |
[
"M2135",
"N0847"
] |
N. J. A. Sloane, Simon Plouffe
| 2019-06-13T19:55:48 |
oeisdata/seq/A000/A000185.seq
|
fb8c8c94e3e2032e1218025de8f52834
|
A000186
|
Number of 3 X n Latin rectangles in which the first row is in order.
|
[
"1",
"0",
"0",
"2",
"24",
"552",
"21280",
"1073760",
"70299264",
"5792853248",
"587159944704",
"71822743499520",
"10435273503677440",
"1776780700509416448",
"350461958856515690496",
"79284041282622163140608",
"20392765404792755583221760",
"5917934230798104348783083520",
"1924427226324694427836833857536"
] |
[
"nonn",
"nice",
"easy"
] | 101 | 0 | 4 |
[
"A000166",
"A000179",
"A000186",
"A000512",
"A170904",
"A335700"
] |
[
"M2140",
"N0851"
] |
N. J. A. Sloane
| 2024-05-19T14:03:15 |
oeisdata/seq/A000/A000186.seq
|
9483eb4603a81e560d828955a189d3b6
|
A000187
|
Generalized Euler numbers, c(5,n).
|
[
"2",
"30",
"3522",
"1066590",
"604935042",
"551609685150",
"737740947722562",
"1360427147514751710",
"3308161927353377294082",
"10256718523496425979562270",
"39490468691102039103925777602",
"184856411587530526077816051412830",
"1033888847501229495999134528615701122"
] |
[
"nonn",
"easy"
] | 67 | 0 | 1 |
[
"A000187",
"A000192",
"A000320",
"A000490",
"A060096",
"A235605",
"A349264",
"A349265"
] |
[
"M2153",
"N0858"
] |
N. J. A. Sloane
| 2024-11-17T03:19:01 |
oeisdata/seq/A000/A000187.seq
|
0f4681cac2b4e477489f39ae90e6a2e8
|
A000188
|
(1) Number of solutions to x^2 == 0 (mod n). (2) Also square root of largest square dividing n. (3) Also max_{ d divides n } gcd(d, n/d).
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"2",
"5",
"1",
"3",
"2",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"4",
"7",
"5",
"1",
"2",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"8",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"6",
"1",
"1",
"5",
"2",
"1",
"1",
"1",
"4",
"9",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"3"
] |
[
"nonn",
"easy",
"nice",
"mult",
"changed"
] | 169 | 1 | 4 |
[
"A000188",
"A000189",
"A000190",
"A007913",
"A007947",
"A008833",
"A015052",
"A015053",
"A019554",
"A019555",
"A027748",
"A046951",
"A053150",
"A053164",
"A053166",
"A055210",
"A117811",
"A120486",
"A124010",
"A240976"
] | null |
N. J. A. Sloane
| 2025-07-06T22:28:22 |
oeisdata/seq/A000/A000188.seq
|
b64918d606bab99f6cf2e253fa6d101b
|
A000189
|
Number of solutions to x^3 == 0 (mod n).
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"4",
"5",
"1",
"9",
"2",
"1",
"1",
"1",
"8",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"4",
"7",
"5",
"1",
"2",
"1",
"9",
"1",
"4",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"16",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"12",
"1",
"1",
"5",
"2",
"1",
"1",
"1",
"4",
"9",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"3"
] |
[
"nonn",
"mult",
"easy"
] | 58 | 1 | 4 |
[
"A000189",
"A000578",
"A019555"
] | null |
N. J. A. Sloane
| 2023-09-09T11:33:37 |
oeisdata/seq/A000/A000189.seq
|
eeaa11f9f5bad583107c81749a741634
|
A000190
|
Number of solutions to x^4 == 0 (mod n).
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"8",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"4",
"5",
"1",
"9",
"2",
"1",
"1",
"1",
"8",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"8",
"7",
"5",
"1",
"2",
"1",
"9",
"1",
"4",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"16",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"12",
"1",
"1",
"5",
"2",
"1",
"1",
"1",
"8",
"27",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"3"
] |
[
"nonn",
"mult",
"easy"
] | 39 | 1 | 4 |
[
"A000190",
"A000583"
] | null |
N. J. A. Sloane
| 2023-12-18T01:45:57 |
oeisdata/seq/A000/A000190.seq
|
12feaa0281ddf3a37ce1c542068a0915
|
A000191
|
Generalized tangent numbers d(3, n).
|
[
"2",
"46",
"3362",
"515086",
"135274562",
"54276473326",
"30884386347362",
"23657073914466766",
"23471059057478981762",
"29279357851856595135406",
"44855282210826271011257762",
"82787899853638102222862479246",
"181184428895772987376073015175362",
"463938847087789978515380344866258286"
] |
[
"nonn",
"easy"
] | 73 | 0 | 1 |
[
"A000187",
"A000191",
"A000192",
"A000436",
"A002437",
"A002439",
"A007289",
"A156172",
"A235606",
"A349264"
] |
[
"M2166",
"N0864"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000191.seq
|
810efe8e5abd58ce772b28deab41a00a
|
A000192
|
Generalized Euler numbers c(6,n).
|
[
"2",
"46",
"7970",
"3487246",
"2849229890",
"3741386059246",
"7205584123783010",
"19133892392367261646",
"67000387673723462963330",
"299131045427247559446422446",
"1658470810032820740402966226850",
"11179247066648898992009055586869646",
"90035623994788132387893239340761189570"
] |
[
"nonn",
"easy"
] | 55 | 0 | 1 |
[
"A000187",
"A000191",
"A000192",
"A000411",
"A001587",
"A235605",
"A349264"
] |
[
"M2167",
"N0865"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000192.seq
|
b8347c7176a7261efa409c1b51d082d1
|
A000193
|
Nearest integer to log n.
|
[
"0",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4"
] |
[
"nonn",
"easy"
] | 19 | 1 | 5 |
[
"A000193",
"A000195",
"A004233"
] | null |
N. J. A. Sloane
| 2024-06-28T05:26:18 |
oeisdata/seq/A000/A000193.seq
|
ba317f0e39a4e9f67bbd7cb2c8bd9af7
|
A000194
|
n appears 2n times, for n >= 1; also nearest integer to square root of n.
|
[
"0",
"1",
"1",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"10",
"10",
"10",
"10",
"10",
"10",
"10",
"10"
] |
[
"nonn",
"easy",
"nice"
] | 131 | 0 | 4 |
[
"A000037",
"A000194",
"A000196",
"A002024",
"A002061",
"A002378",
"A003059",
"A005369",
"A053187",
"A105209",
"A259351"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000194.seq
|
8514b62e1b4632697581738d2121c753
|
A000195
|
a(n) = floor(log(n)).
|
[
"0",
"0",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4"
] |
[
"nonn",
"easy"
] | 40 | 1 | 8 |
[
"A000193",
"A000195",
"A000523",
"A004233"
] | null |
N. J. A. Sloane
| 2024-08-28T04:25:28 |
oeisdata/seq/A000/A000195.seq
|
c57e742e60eec9783a3f7f317c7631f0
|
A000196
|
Integer part of square root of n. Or, number of positive squares <= n. Or, n appears 2n+1 times.
|
[
"0",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"10",
"10"
] |
[
"nonn",
"easy",
"nice"
] | 198 | 0 | 5 |
[
"A000196",
"A000290",
"A002162",
"A003056",
"A028391",
"A048760",
"A048766",
"A074704",
"A079051",
"A281871"
] | null |
N. J. A. Sloane
| 2024-06-25T08:32:45 |
oeisdata/seq/A000/A000196.seq
|
6bf4f019fdfc9e815236ba14ac4d7b2b
|
A000197
|
a(n) = (n!)!.
|
[
"1",
"1",
"2",
"720",
"620448401733239439360000"
] |
[
"nonn",
"easy"
] | 52 | 0 | 3 |
[
"A000142",
"A000197",
"A006990",
"A063979",
"A152168",
"A245087"
] |
[
"M2187",
"N0874"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000197.seq
|
cdfc8bf3a667e461a139d409a18f6e33
|
A000198
|
Largest order of automorphism group of a tournament with n nodes.
|
[
"1",
"1",
"3",
"3",
"5",
"9",
"21",
"21",
"81",
"81",
"81",
"243",
"243",
"441",
"1215",
"1701",
"1701",
"6561",
"6561",
"6561",
"45927",
"45927",
"45927",
"137781",
"137781",
"229635",
"1594323",
"1594323",
"1594323",
"4782969",
"4782969",
"7971615",
"14348907",
"33480783",
"33480783",
"129140163",
"129140163",
"129140163"
] |
[
"nonn",
"nice"
] | 59 | 1 | 3 |
[
"A000198",
"A000568",
"A374164"
] |
[
"M2280",
"N0902"
] |
N. J. A. Sloane
| 2024-07-01T14:55:37 |
oeisdata/seq/A000/A000198.seq
|
a1052cb6ef2f867ecb990193cb1fbcd5
|
A000199
|
Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).
|
[
"1",
"3",
"3",
"7",
"6",
"12",
"13",
"20",
"21",
"34",
"36",
"51",
"58",
"78",
"89",
"118",
"131",
"171",
"197",
"245",
"279",
"349",
"398",
"486",
"557",
"671",
"767",
"920",
"1046",
"1244",
"1421",
"1667",
"1898",
"2225",
"2525",
"2937",
"3333",
"3856",
"4367",
"5034",
"5683",
"6521",
"7365",
"8409",
"9473",
"10795",
"12133",
"13775",
"15466"
] |
[
"nonn"
] | 31 | 1 | 2 |
[
"A000025",
"A000039",
"A000199"
] |
[
"M2285",
"N0904"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20 |
oeisdata/seq/A000/A000199.seq
|
dad4862924e542a1e08031a26ab8a629
|
A000200
|
Number of bicentered hydrocarbons with n atoms.
|
[
"0",
"0",
"1",
"0",
"1",
"1",
"3",
"3",
"9",
"15",
"38",
"73",
"174",
"380",
"915",
"2124",
"5134",
"12281",
"30010",
"73401",
"181835",
"452165",
"1133252",
"2851710",
"7215262",
"18326528",
"46750268",
"119687146",
"307528889",
"792716193",
"2049703887",
"5314775856",
"13817638615",
"36012395538"
] |
[
"nonn",
"nice"
] | 40 | 0 | 7 |
[
"A000022",
"A000200",
"A000602",
"A010373"
] |
[
"M2288",
"N0905"
] |
N. J. A. Sloane, E. M. Rains (rains(AT)caltech.edu)
| 2020-12-19T03:13:09 |
oeisdata/seq/A000/A000200.seq
|
30a966402842105d0ee0fb4af8efc463
|
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