seq_id
stringlengths 7
7
| seq_name
stringlengths 4
573
| sequence
sequencelengths 1
348
| keywords
sequencelengths 1
8
| score
int64 1
2.31k
| offset_a
int64 0
0
| offset_b
int64 5
5
| cross_references
sequencelengths 1
128
⌀ | former_ids
sequencelengths 1
3
⌀ | author
stringlengths 7
231
⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-04-25 01:21:50
| filename
stringlengths 29
29
| hash
stringlengths 32
32
|
---|---|---|---|---|---|---|---|---|---|---|---|---|
A002901 | n^3 - floor( n/3 ). | [
"0",
"1",
"8",
"26",
"63",
"124",
"214",
"341",
"510",
"726",
"997",
"1328",
"1724",
"2193",
"2740",
"3370",
"4091",
"4908",
"5826",
"6853",
"7994",
"9254",
"10641",
"12160",
"13816",
"15617",
"17568",
"19674",
"21943",
"24380",
"26990",
"29781",
"32758",
"35926",
"39293"
] | [
"nonn",
"easy"
] | 19 | 0 | 5 | null | null | ochavez(AT)spin.com.mx (Oscar Chavez) | 2020-04-23T20:02:22 | oeisdata/seq/A002/A002901.seq | 1da9168ce376972dbe15941d3a2295f7 |
A002902 | Number of n-step self-avoiding walks on a cubic lattice with a first step along the positive x, y, or z axis. | [
"3",
"15",
"75",
"363",
"1767",
"8463",
"40695",
"193983",
"926943",
"4404939",
"20967075",
"99421371",
"471987255",
"2234455839",
"10587573027",
"50060937987",
"236865126051",
"1118861842047",
"5288016609807",
"24958663919367",
"117855045251079",
"555890991721203",
"2622994107595707"
] | [
"nonn",
"walk",
"nice"
] | 24 | 0 | 5 | [
"A001411",
"A001412",
"A001413",
"A002902",
"A078717"
] | [
"M2990",
"N1210"
] | N. J. A. Sloane | 2022-01-31T01:10:02 | oeisdata/seq/A002/A002902.seq | 2a8daebed5581a4116252bc4a2cf8d50 |
A002903 | Number of n-step self-avoiding walks on b.c.c. lattice (version 1). | [
"1",
"4",
"28",
"196",
"1324",
"8980",
"60028",
"402412",
"2675860",
"17826340",
"118145548",
"784024780",
"5184334996",
"34313323804",
"226516271020",
"1496391824212",
"9865667928796",
"65080520041804",
"428641139406628",
"2824446024265444",
"18587519784608836",
"122369125319060884"
] | [
"nonn",
"walk"
] | 39 | 0 | 5 | [
"A001666",
"A002903"
] | [
"M3624",
"N1472"
] | N. J. A. Sloane | 2022-10-17T01:56:16 | oeisdata/seq/A002/A002903.seq | 37520067b65d198381ced601af67f567 |
A002904 | Delete all letters except c, d, i, l, m, v, x from the US English name of n, then read as Roman numeral if possible, otherwise 0. | [
"0",
"0",
"0",
"0",
"4",
"9",
"5",
"1",
"1",
"0",
"55",
"55",
"1",
"0",
"1",
"9",
"5",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"4",
"9",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"4",
"2",
"2",
"0",
"0",
"0",
"0",
"0",
"4",
"9",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"4",
"2",
"2",
"9",
"9",
"9",
"9",
"9",
"0",
"0",
"0",
"0",
"0",
"5",
"5",
"5",
"5",
"5",
"0",
"0",
"0",
"6",
"6",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"4",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"4",
"2",
"2",
"0"
] | [
"nonn",
"word"
] | 42 | 0 | 5 | [
"A002904",
"A092302",
"A121305"
] | null | J. H. Conway | 2024-11-10T23:04:06 | oeisdata/seq/A002/A002904.seq | 035634bdb649f2dd9042b74690b51c9a |
A002905 | Number of connected graphs with n edges. | [
"1",
"1",
"1",
"3",
"5",
"12",
"30",
"79",
"227",
"710",
"2322",
"8071",
"29503",
"112822",
"450141",
"1867871",
"8037472",
"35787667",
"164551477",
"779945969",
"3804967442",
"19079312775",
"98211456209",
"518397621443",
"2802993986619",
"15510781288250",
"87765472487659",
"507395402140211",
"2994893000122118",
"18035546081743772",
"110741792670074054",
"692894304050453139"
] | [
"nonn",
"nice"
] | 66 | 0 | 5 | [
"A000664",
"A002905",
"A003089",
"A046091",
"A054923",
"A054924",
"A275421"
] | [
"M2486",
"N0985"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002905.seq | 1c074295ce28f4f72cd986851896b588 |
A002906 | High temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice. | [
"1",
"4",
"12",
"36",
"100",
"276",
"740",
"1972",
"5172",
"13492",
"34876",
"89764",
"229628",
"585508",
"1486308",
"3763460",
"9497380",
"23918708",
"60080156",
"150660388",
"377009364",
"942106116",
"2350157268",
"5855734740",
"14569318492",
"36212402548",
"89896870204"
] | [
"nonn",
"nice"
] | 57 | 0 | 5 | [
"A002906",
"A002908",
"A002910",
"A002913",
"A002920",
"A002927",
"A005401"
] | [
"M3447",
"N1401"
] | N. J. A. Sloane | 2024-05-04T05:13:01 | oeisdata/seq/A002/A002906.seq | 05b8b38031ef90e80b57dddc8930c56f |
A002907 | High temperature series in v = tanh(J/kT) for residual correlation function (correction to susceptibility) for the spin-1/2 Ising model on square lattice. | [
"2",
"2",
"20",
"38",
"146",
"368",
"1070",
"2824",
"7680",
"19996",
"53024",
"136350",
"355254",
"906254",
"2331416",
"5909810",
"15067236",
"37992680",
"96210436",
"241564514",
"608469654",
"1522388638",
"3818281784",
"9525139886",
"23806217352",
"59237754234",
"147621207142",
"366533832540",
"911151508282"
] | [
"nonn"
] | 19 | 0 | 5 | [
"A002906",
"A002907",
"A002908"
] | [
"M0391",
"N0149"
] | N. J. A. Sloane | 2021-03-01T07:21:03 | oeisdata/seq/A002/A002907.seq | cf1ec688f2523c36234af38e4f286a31 |
A002908 | High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T. | [
"2",
"4",
"8",
"24",
"84",
"328",
"1372",
"6024",
"27412",
"128228",
"613160",
"2985116",
"14751592",
"73825416",
"373488764",
"1907334616",
"9820757380",
"50934592820",
"265877371160",
"1395907472968",
"7366966846564",
"39062802311672",
"208015460898924",
"1112050252939612",
"5966352507546872"
] | [
"nonn",
"nice"
] | 34 | 0 | 5 | [
"A002906",
"A002908",
"A002930",
"A010571",
"A010572",
"A010573",
"A010574"
] | [
"M1161",
"N0444"
] | N. J. A. Sloane, Simon Plouffe | 2024-04-27T15:53:35 | oeisdata/seq/A002/A002908.seq | 5ef2ef017a6209806635b3f8210d19de |
A002909 | Low temperature energy function for square lattice. | [
"2",
"0",
"-8",
"-24",
"-72",
"-240",
"-896",
"-3640",
"-15688",
"-70512",
"-326968",
"-1553288",
"-7523520",
"-37026704",
"-184677536",
"-931655064",
"-4746324296",
"-24387839056",
"-126257024696",
"-658011767016",
"-3449826712952",
"-18183760406080",
"-96309365029424",
"-512340286827272"
] | [
"sign"
] | 29 | 0 | 5 | null | [
"M0035",
"N0009"
] | N. J. A. Sloane | 2020-11-29T02:34:13 | oeisdata/seq/A002/A002909.seq | cbc91b274c34bef461f76f20ea15be6e |
A002910 | High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure. | [
"1",
"3",
"6",
"12",
"24",
"48",
"90",
"168",
"318",
"600",
"1098",
"2004",
"3696",
"6792",
"12270",
"22140",
"40224",
"72888",
"130650",
"234012",
"421176",
"756624",
"1348998",
"2403840",
"4299018",
"7677840",
"13635630",
"24206220",
"43092888",
"76635984",
"135698970",
"240199320",
"426144654",
"755420328",
"1334488074"
] | [
"nonn",
"nice"
] | 21 | 0 | 5 | [
"A002910",
"A002978"
] | [
"M2558",
"N1012"
] | N. J. A. Sloane | 2021-03-03T09:02:48 | oeisdata/seq/A002/A002910.seq | 6157ce47941f8967c5871c5d508f105a |
A002911 | Erroneous version of A047709. | [
"0",
"0",
"1",
"0",
"12",
"4",
"129",
"122",
"1332",
"960",
"10919",
"11372",
"132900",
"126396",
"1299851",
"1349784"
] | [
"dead"
] | 37 | 0 | 5 | null | [
"M4819"
] | null | 2021-03-03T04:17:36 | oeisdata/seq/A002/A002911.seq | cbcb5f33b18841edfdde94c481ce1bbc |
A002912 | Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure. | [
"0",
"0",
"1",
"6",
"27",
"122",
"516",
"2148",
"8792",
"35622",
"143079",
"570830",
"2264649",
"8942436",
"35169616",
"137839308",
"538594704",
"2098892928",
"8159937669",
"31656305550",
"122575164923",
"473797120338",
"1828512928200",
"7046581314292",
"27119735418924",
"104247226432566",
"400272672674603"
] | [
"nonn"
] | 28 | 0 | 5 | [
"A002912",
"A002978"
] | [
"M4179",
"N1740"
] | N. J. A. Sloane | 2021-03-03T09:37:41 | oeisdata/seq/A002/A002912.seq | 4507da502d3968dcf46bae5fd24ea822 |
A002913 | High temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice. | [
"1",
"6",
"30",
"150",
"726",
"3510",
"16710",
"79494",
"375174",
"1769686",
"8306862",
"38975286",
"182265822",
"852063558",
"3973784886",
"18527532310",
"86228667894",
"401225368086",
"1864308847838",
"8660961643254",
"40190947325670",
"186475398518726",
"864404776466406",
"4006394107568934",
"18554916271112254",
"85923704942057238"
] | [
"nonn",
"nice"
] | 84 | 0 | 5 | [
"A001393",
"A002170",
"A002906",
"A002910",
"A002913",
"A002914",
"A002915",
"A002916",
"A002920",
"A002921",
"A002926",
"A003119",
"A003279",
"A003490",
"A007287",
"A010040",
"A010043",
"A010046",
"A010556",
"A010571",
"A010579",
"A010580",
"A030008"
] | [
"M4201",
"N1753"
] | N. J. A. Sloane | 2023-10-09T10:10:14 | oeisdata/seq/A002/A002913.seq | aabe37d293ca616a2108ec0c3997c95e |
A002914 | Susceptibility series for b.c.c. lattice. | [
"1",
"8",
"56",
"392",
"2648",
"17864",
"118760",
"789032",
"5201048",
"34268104",
"224679864",
"1472595144",
"9619740648",
"62823141192",
"409297617672",
"2665987056200",
"17333875251192",
"112680746646856",
"731466943653464",
"4747546469665832",
"30779106675700312",
"199518218638233896",
"1292141318087690824",
"8367300424426139624",
"54141252229349325768",
"350288350314921653160"
] | [
"nonn",
"nice"
] | 33 | 0 | 5 | null | [
"M4544",
"N1928"
] | N. J. A. Sloane | 2022-02-09T20:18:46 | oeisdata/seq/A002/A002914.seq | 3fd21008d79f4031476de1f8bd1ef37e |
A002915 | Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice. | [
"0",
"0",
"4",
"0",
"0",
"-8",
"60",
"-144",
"416",
"-1248",
"4200",
"-13248",
"42936",
"-138072",
"452840",
"-1480944",
"4883688",
"-16114784",
"53457696",
"-177637248"
] | [
"sign",
"nice",
"more"
] | 27 | 0 | 5 | [
"A002915",
"A002926",
"A002979",
"A007216",
"A007217",
"A007218"
] | [
"M3187",
"N1290"
] | N. J. A. Sloane | 2022-02-22T00:28:54 | oeisdata/seq/A002/A002915.seq | e91bea736a09d87ac8b7142a5cebf500 |
A002916 | High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice. | [
"3",
"33",
"564",
"8976",
"155124",
"2791308",
"51382068",
"962178084",
"18258531348",
"350143322088",
"6772382631732",
"131922552534036",
"2585198190891636",
"50919899448451512",
"1007393565758096820",
"20007153991627682124",
"398699967207692643924",
"7969220499183448073760",
"159718349893920279061428"
] | [
"nonn"
] | 41 | 0 | 5 | [
"A001393",
"A001408",
"A002169",
"A002913",
"A002916",
"A002917",
"A002918",
"A010571",
"A029872"
] | [
"M3133",
"N1271"
] | N. J. A. Sloane | 2022-02-15T13:58:32 | oeisdata/seq/A002/A002916.seq | 69c6f51818b252fe7f352c73a598da14 |
A002917 | High temperature series for spin-1/2 Ising specific heat on 3-dimensional b.c.c. lattice. | [
"4",
"140",
"4056",
"129360",
"4381848",
"153700408",
"5519859080",
"201714989064"
] | [
"nonn",
"more"
] | 33 | 0 | 5 | [
"A001406",
"A002167",
"A002914",
"A002916",
"A002917",
"A002918",
"A047711"
] | [
"M3718",
"N1520"
] | N. J. A. Sloane | 2022-02-15T13:57:12 | oeisdata/seq/A002/A002917.seq | eb4f2ce54f6f0c77e997b61c8586fbc0 |
A002918 | High temperature series for spin-1/2 Ising specific heat on 3-dimensional f.c.c. lattice. | [
"6",
"48",
"390",
"3216",
"26844",
"229584",
"2006736",
"17809008",
"159799812",
"1446245424",
"13181330772",
"120849559824",
"1113598633188"
] | [
"nonn",
"more"
] | 30 | 0 | 5 | [
"A001407",
"A002165",
"A002916",
"A002917",
"A002918",
"A002921"
] | [
"M4255",
"N1777"
] | N. J. A. Sloane | 2022-02-15T11:40:34 | oeisdata/seq/A002/A002918.seq | d48aed8a405c43365085f84ea05364df |
A002919 | High-temperature series for susceptibility for the spin-1/2 Ising model on hexagonal lattice. | [
"1",
"6",
"24",
"90",
"318",
"1098",
"3696",
"12270",
"40224",
"130650",
"421176",
"1348998",
"4299018",
"13635630",
"43092888",
"135698970",
"426144654",
"1334488074",
"4170038328",
"13001153910",
"40464412482",
"125706293478",
"389962873920",
"1207855307874",
"3736709089176",
"11544946664622",
"35633199126576"
] | [
"nonn",
"nice"
] | 19 | 0 | 5 | [
"A002910",
"A002919",
"A002920",
"A047709"
] | [
"M4162",
"N1730"
] | N. J. A. Sloane | 2021-03-03T06:45:36 | oeisdata/seq/A002/A002919.seq | 32d78572582d1070e6147e2e02f8ff2e |
A002920 | High-temperature series in w = tanh(J/kT) for ferromagnetic susceptibility for the spin-1/2 Ising model on hexagonal lattice. | [
"1",
"6",
"30",
"138",
"606",
"2586",
"10818",
"44574",
"181542",
"732678",
"2935218",
"11687202",
"46296210",
"182588850",
"717395262",
"2809372302",
"10969820358",
"42724062966",
"166015496838",
"643768299018",
"2491738141314",
"9628130289018",
"37146098272266",
"143110933254702",
"550643544948090"
] | [
"nonn",
"nice"
] | 32 | 0 | 5 | [
"A002910",
"A002919",
"A002920",
"A047709",
"A128834"
] | [
"M4196",
"N1750"
] | N. J. A. Sloane | 2022-02-11T08:41:06 | oeisdata/seq/A002/A002920.seq | 3efd0476a74f84862407010c59ff3172 |
A002921 | Susceptibility series for f.c.c. lattice. | [
"1",
"12",
"132",
"1404",
"14652",
"151116",
"1546332",
"15734460",
"159425580",
"1609987708",
"16215457188",
"162961837500",
"1634743178420",
"16373484437340",
"163778159931180",
"1636328839130860"
] | [
"nonn",
"nice"
] | 34 | 0 | 5 | [
"A002165",
"A002166",
"A002168",
"A002170",
"A002913",
"A002914",
"A002918",
"A002921"
] | [
"M4866",
"N2081"
] | N. J. A. Sloane | 2023-01-13T17:12:23 | oeisdata/seq/A002/A002921.seq | 8414a0a48142dd90ed4890319515c905 |
A002922 | Specific heat for diamond. | [
"0",
"6",
"-12",
"-156",
"1680",
"21264",
"-592032",
"-5349216",
"381679872",
"1095380736",
"-384803443200",
"2445989918208",
"547003852781568"
] | [
"sign",
"more"
] | 30 | 0 | 5 | [
"A002165",
"A002167",
"A002169",
"A002922",
"A002923"
] | [
"M4103",
"N1702"
] | N. J. A. Sloane | 2022-06-18T08:42:34 | oeisdata/seq/A002/A002922.seq | 43af7bd42ec328dfba4b35869097f8e3 |
A002923 | Susceptibility series for diamond. | [
"4",
"16",
"64",
"736",
"11584",
"43072",
"-607232",
"50435584",
"1204185088",
"-38340475904",
"-563767881728",
"73927460466688",
"311178505633792",
"-151984023599341568"
] | [
"sign",
"more"
] | 15 | 0 | 5 | null | [
"M3520",
"N1429"
] | N. J. A. Sloane | 2021-10-21T01:07:56 | oeisdata/seq/A002/A002923.seq | a5c40037d3c876c978728cc1215579ea |
A002924 | Ferromagnetic susceptibility series for f.c.c. lattice. | [
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"24",
"-26",
"0",
"0",
"72",
"378",
"-1080",
"665",
"384",
"1968",
"2016",
"-25698",
"39552",
"-3872",
"20880",
"-65727",
"-379072",
"1277646",
"-986856",
"176978",
"-2163504",
"-1818996",
"27871080",
"-47138844",
"20789424",
"-36509652",
"77055330",
"393046656",
"-1402934816",
"1403843388"
] | [
"sign"
] | 29 | 0 | 5 | [
"A002892",
"A002921",
"A002924",
"A002925",
"A002926",
"A003196"
] | [
"M5141",
"N2230"
] | N. J. A. Sloane | 2022-02-16T07:41:47 | oeisdata/seq/A002/A002924.seq | a2c176025952f507dcad436d85ed5a6e |
A002925 | Susceptibility series for b.c.c. lattice. | [
"0",
"0",
"0",
"1",
"0",
"0",
"16",
"-18",
"0",
"252",
"-576",
"519",
"3264",
"-12468",
"20568",
"26662",
"-215568",
"528576",
"-164616",
"-3014889",
"10894920",
"-13796840",
"-29909616",
"190423962",
"-399739840",
"-22768752",
"2803402560",
"-8743064909"
] | [
"sign",
"nice",
"more"
] | 33 | 0 | 5 | [
"A002924",
"A002925",
"A002926",
"A371049"
] | [
"M4997",
"N2151"
] | N. J. A. Sloane | 2024-03-11T12:57:28 | oeisdata/seq/A002/A002925.seq | d88bd1d2995c3a7afa76cfbf0e41d596 |
A002926 | Low temperature series for spin-1/2 Ising magnetic susceptibility on 3-dimensional simple cubic lattice. | [
"0",
"0",
"1",
"0",
"12",
"-14",
"135",
"-276",
"1520",
"-4056",
"17778",
"-54392",
"213522",
"-700362",
"2601674",
"-8836812",
"31925046",
"-110323056",
"393008712",
"-1369533048",
"4844047090",
"-16947396000",
"59723296431",
"-209328634116",
"736260986208",
"-2582605180212",
"9074182912884"
] | [
"sign",
"nice"
] | 36 | 0 | 5 | null | [
"M4823",
"N2064"
] | N. J. A. Sloane | 2022-02-09T20:18:57 | oeisdata/seq/A002/A002926.seq | fa8a0eed4dd9c8667d0c526523b27987 |
A002927 | Low temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice. | [
"0",
"0",
"1",
"8",
"60",
"416",
"2791",
"18296",
"118016",
"752008",
"4746341",
"29727472",
"185016612",
"1145415208",
"7059265827",
"43338407712",
"265168691392",
"1617656173824",
"9842665771649",
"59748291677832",
"361933688520940",
"2188328005246304",
"13208464812265559",
"79600379336505560",
"479025509574159232"
] | [
"nonn"
] | 45 | 0 | 5 | [
"A002890",
"A002906",
"A002912",
"A002926",
"A002927",
"A002928",
"A002979",
"A010115",
"A029872",
"A047709"
] | [
"M4549",
"N1933"
] | N. J. A. Sloane, Simon Plouffe | 2024-05-06T12:56:33 | oeisdata/seq/A002/A002927.seq | 15ddf439cfdac1359babfae10d0335f4 |
A002928 | Magnetization for square lattice. | [
"1",
"0",
"-2",
"-8",
"-34",
"-152",
"-714",
"-3472",
"-17318",
"-88048",
"-454378",
"-2373048",
"-12515634",
"-66551016",
"-356345666",
"-1919453984",
"-10392792766",
"-56527200992",
"-308691183938",
"-1691769619240",
"-9301374102034"
] | [
"sign",
"easy"
] | 28 | 0 | 5 | [
"A002927",
"A002928",
"A002929",
"A002930",
"A003193",
"A003196",
"A007206",
"A007207",
"A010102",
"A010103",
"A010104",
"A010105",
"A010106",
"A030120",
"A030121",
"A057374",
"A057378"
] | [
"M1853",
"N0733"
] | N. J. A. Sloane, Simon Plouffe | 2024-04-27T14:26:18 | oeisdata/seq/A002/A002928.seq | 186b30f46389eafdeea89b9bbc0ea6fe |
A002929 | Magnetization for cubic lattice. | [
"1",
"0",
"0",
"-2",
"0",
"-12",
"14",
"-90",
"192",
"-792",
"2148",
"-7716",
"23262",
"-79512",
"252054",
"-846628",
"2753520",
"-9205800",
"30371124",
"-101585544",
"338095596",
"-1133491188",
"3794908752",
"-12758932158",
"42903505030",
"-144655483440",
"488092130664",
"-1650000819068",
"5583090702798",
"-18918470423736",
"64167341172984",
"-217893807812346",
"740578734923544"
] | [
"sign",
"nice"
] | 21 | 0 | 5 | null | [
"M0038",
"N0011"
] | N. J. A. Sloane | 2021-10-21T01:08:16 | oeisdata/seq/A002/A002929.seq | 133d4fa68ab8e9af5df8fc8761e99d3a |
A002930 | Magnetization series for diamond. | [
"1",
"0",
"-2",
"-8",
"-26",
"-80",
"-268",
"-944",
"-3474",
"-13072",
"-49672",
"-191272",
"-744500",
"-2924680",
"-11596284",
"-46364456"
] | [
"sign",
"nice"
] | 17 | 0 | 5 | null | [
"M1844",
"N0730"
] | N. J. A. Sloane, Simon Plouffe | 2017-11-16T15:33:42 | oeisdata/seq/A002/A002930.seq | 492aeb9a1cc35e9031662f97ad42abd2 |
A002931 | Number of self-avoiding polygons of length 2n on square lattice (not allowing rotations). | [
"0",
"1",
"2",
"7",
"28",
"124",
"588",
"2938",
"15268",
"81826",
"449572",
"2521270",
"14385376",
"83290424",
"488384528",
"2895432660",
"17332874364",
"104653427012",
"636737003384",
"3900770002646",
"24045500114388",
"149059814328236",
"928782423033008",
"5814401613289290",
"36556766640745936"
] | [
"nonn",
"walk",
"nice"
] | 69 | 0 | 5 | [
"A002931",
"A010566",
"A036638",
"A036639",
"A056634",
"A057730",
"A302335",
"A302336"
] | [
"M1780",
"N0703"
] | N. J. A. Sloane | 2021-03-18T23:08:21 | oeisdata/seq/A002/A002931.seq | 5e8249de2fe0d5277d5d1ce137a0fa25 |
A002932 | Erroneous version of A173380. | [
"1",
"4",
"12",
"28",
"68",
"164",
"396",
"940",
"2244",
"5324",
"12668",
"29940",
"71012",
"167468",
"396204"
] | [
"dead"
] | 14 | 0 | 5 | null | [
"M3437",
"N1394"
] | null | 2010-11-22T19:34:32 | oeisdata/seq/A002/A002932.seq | 55b1ef0d4fbf91787df1644b5aede4e6 |
A002933 | Erroneous version of A174313. | [
"1",
"6",
"18",
"54",
"162",
"474",
"1398",
"4074",
"11898",
"34554",
"100302",
"290334",
"839466"
] | [
"dead"
] | 17 | 0 | 5 | null | [
"M4123",
"N1711"
] | null | 2010-11-27T14:00:43 | oeisdata/seq/A002/A002933.seq | c9b1c2905f5293c5deb00169c3cacc56 |
A002934 | Erroneous version of A174319. | [
"1",
"6",
"30",
"126",
"534",
"2214",
"9246",
"38142",
"157974",
"649086",
"2674926"
] | [
"dead"
] | 13 | 0 | 5 | null | [
"M4194",
"N1749"
] | null | 2010-11-27T14:01:25 | oeisdata/seq/A002/A002934.seq | 43f9b16d18cd01a2b3565d5a70ec6fe4 |
A002935 | Number of series-reduced star graphs with n edges. | [
"1",
"1",
"2",
"5",
"9",
"22",
"62",
"177",
"560",
"1939",
"7067",
"27331",
"110871",
"468684",
"2057161",
"9341736"
] | [
"nonn",
"nice",
"more"
] | 21 | 0 | 5 | [
"A002935",
"A046752",
"A360879"
] | [
"M1364",
"N0528"
] | N. J. A. Sloane | 2023-03-03T16:25:39 | oeisdata/seq/A002/A002935.seq | d864ddaa15363824d28044d62c96303b |
A002936 | Solid partitions of n, distinct along rows. | [
"1",
"3",
"7",
"16",
"33",
"71",
"141",
"284",
"552",
"1067",
"2020",
"3803",
"7043",
"12957",
"23566",
"42536",
"76068",
"135093",
"238001",
"416591"
] | [
"nonn"
] | 11 | 0 | 5 | null | [
"M2658",
"N1061"
] | N. J. A. Sloane | 2023-10-20T21:34:03 | oeisdata/seq/A002/A002936.seq | 98e73a2156cf63158c6fd372b2f554dd |
A002937 | An exotic continued fraction (for the real root of x^3 - 8*x - 10). | [
"3",
"3",
"7",
"4",
"2",
"30",
"1",
"8",
"3",
"1",
"1",
"1",
"9",
"2",
"2",
"1",
"3",
"22986",
"2",
"1",
"32",
"8",
"2",
"1",
"8",
"55",
"1",
"5",
"2",
"28",
"1",
"5",
"1",
"1501790",
"1",
"2",
"1",
"7",
"6",
"1",
"1",
"5",
"2",
"1",
"6",
"2",
"2",
"1",
"2",
"1",
"1",
"3",
"1",
"3",
"1",
"2",
"4",
"3",
"1",
"35657"
] | [
"cofr",
"nonn"
] | 36 | 0 | 5 | [
"A002937",
"A160332"
] | [
"M2284",
"N0903"
] | N. J. A. Sloane | 2023-10-21T09:50:39 | oeisdata/seq/A002/A002937.seq | b68ca830de9a8af124d7bdce8911ae1e |
A002938 | The minimal sequence from solving n^3 - m^2 = a(n). | [
"0",
"1",
"2",
"0",
"4",
"9",
"18",
"17",
"0",
"24",
"35",
"36",
"12",
"40",
"11",
"0",
"13",
"56",
"30",
"79",
"45",
"39",
"67",
"100",
"0",
"113",
"83",
"48",
"53",
"104",
"138",
"7",
"163",
"100",
"26",
"0",
"28",
"116",
"217",
"9",
"248",
"104",
"17",
"80",
"79",
"8",
"139",
"297",
"0",
"316",
"155",
"17",
"119",
"145",
"89",
"55",
"293",
"252",
"170",
"225",
"405",
"184",
"47",
"0",
"49"
] | [
"nonn"
] | 38 | 0 | 5 | [
"A002938",
"A077119"
] | [
"M0033",
"N0008"
] | N. J. A. Sloane | 2023-10-21T06:34:41 | oeisdata/seq/A002/A002938.seq | 0cf9009eefe48a7e5770f40ad0afc591 |
A002939 | a(n) = 2*n*(2*n-1). | [
"0",
"2",
"12",
"30",
"56",
"90",
"132",
"182",
"240",
"306",
"380",
"462",
"552",
"650",
"756",
"870",
"992",
"1122",
"1260",
"1406",
"1560",
"1722",
"1892",
"2070",
"2256",
"2450",
"2652",
"2862",
"3080",
"3306",
"3540",
"3782",
"4032",
"4290",
"4556",
"4830",
"5112",
"5402",
"5700",
"6006",
"6320",
"6642",
"6972",
"7310",
"7656",
"8010",
"8372"
] | [
"nonn",
"nice",
"easy"
] | 205 | 0 | 5 | [
"A000217",
"A000290",
"A000384",
"A001107",
"A002061",
"A002378",
"A002620",
"A002939",
"A002943",
"A007742",
"A010050",
"A014105",
"A016742",
"A016754",
"A016789",
"A017041",
"A017089",
"A017485",
"A033951",
"A033953",
"A033954",
"A033988",
"A033989",
"A033991",
"A033996",
"A035608",
"A053755",
"A054552",
"A054554",
"A054556",
"A054567",
"A054569",
"A080335",
"A125202",
"A137932",
"A156859",
"A226488",
"A267682",
"A268684",
"A317186",
"A371064"
] | null | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002939.seq | 41b9a9e97b250a3272b00246b1c93e58 |
A002940 | Arrays of dumbbells. | [
"1",
"4",
"11",
"26",
"56",
"114",
"223",
"424",
"789",
"1444",
"2608",
"4660",
"8253",
"14508",
"25343",
"44030",
"76136",
"131110",
"224955",
"384720",
"656041",
"1115784",
"1893216",
"3205416",
"5416441",
"9136084",
"15384563",
"25866914",
"43429784",
"72821274",
"121953943",
"204002680",
"340886973",
"569047468",
"949022608"
] | [
"nonn",
"easy"
] | 68 | 0 | 5 | [
"A000045",
"A001925",
"A002889",
"A002940",
"A002941",
"A006478",
"A023610",
"A046741",
"A054454",
"A055608",
"A062123",
"A062124",
"A062125",
"A062126",
"A062127",
"A067331",
"A178523"
] | [
"M3415",
"N1381"
] | N. J. A. Sloane | 2025-01-05T19:51:32 | oeisdata/seq/A002/A002940.seq | 4035c26f9a5731645e35172c4ce3a1d2 |
A002941 | Arrays of dumbbells. | [
"1",
"7",
"29",
"94",
"263",
"667",
"1577",
"3538",
"7622",
"15900",
"32314",
"64274",
"125561",
"241569",
"458715",
"861242",
"1601081",
"2950693",
"5396209",
"9801012",
"17692092",
"31759800",
"56727588",
"100861716",
"178585489",
"314995915",
"553650761",
"969967510",
"1694235803"
] | [
"nonn",
"easy"
] | 34 | 0 | 5 | [
"A002889",
"A002940",
"A002941",
"A046741",
"A055608",
"A062123",
"A062127"
] | [
"M4396",
"N1852"
] | N. J. A. Sloane | 2022-09-08T08:44:31 | oeisdata/seq/A002/A002941.seq | b4c3cf2014b30653e5c9698ce123a8ed |
A002942 | a(n) = n^2 written backwards. | [
"1",
"4",
"9",
"61",
"52",
"63",
"94",
"46",
"18",
"1",
"121",
"441",
"961",
"691",
"522",
"652",
"982",
"423",
"163",
"4",
"144",
"484",
"925",
"675",
"526",
"676",
"927",
"487",
"148",
"9",
"169",
"4201",
"9801",
"6511",
"5221",
"6921",
"9631",
"4441",
"1251",
"61",
"1861",
"4671",
"9481",
"6391",
"5202",
"6112",
"9022",
"4032",
"1042",
"52",
"1062"
] | [
"nonn",
"base",
"easy",
"look"
] | 54 | 0 | 5 | [
"A000290",
"A002942",
"A004086",
"A080334"
] | [
"M3370",
"N1357"
] | N. J. A. Sloane | 2023-12-28T07:07:53 | oeisdata/seq/A002/A002942.seq | 0cca05e6f397f6d666f2a65657f3e643 |
A002943 | a(n) = 2*n*(2*n+1). | [
"0",
"6",
"20",
"42",
"72",
"110",
"156",
"210",
"272",
"342",
"420",
"506",
"600",
"702",
"812",
"930",
"1056",
"1190",
"1332",
"1482",
"1640",
"1806",
"1980",
"2162",
"2352",
"2550",
"2756",
"2970",
"3192",
"3422",
"3660",
"3906",
"4160",
"4422",
"4692",
"4970",
"5256",
"5550",
"5852",
"6162",
"6480",
"6806",
"7140",
"7482",
"7832",
"8190",
"8556",
"8930"
] | [
"nonn",
"easy",
"nice"
] | 127 | 0 | 5 | [
"A000217",
"A000290",
"A000384",
"A001107",
"A001477",
"A002061",
"A002378",
"A002620",
"A002939",
"A002943",
"A003154",
"A007395",
"A007494",
"A007742",
"A014105",
"A016742",
"A016754",
"A016813",
"A033951",
"A033952",
"A033953",
"A033954",
"A033988",
"A033989",
"A033990",
"A033991",
"A033996",
"A035608",
"A045896",
"A046092",
"A053755",
"A054000",
"A054552",
"A054554",
"A054556",
"A054567",
"A054569",
"A056220",
"A080335",
"A118729",
"A137932",
"A156859",
"A173511",
"A267682",
"A317186"
] | null | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002943.seq | f6444a7fa6742fce1074851cdc91926e |
A002944 | a(n) = LCM(1,2,...,n) / n. | [
"1",
"1",
"2",
"3",
"12",
"10",
"60",
"105",
"280",
"252",
"2520",
"2310",
"27720",
"25740",
"24024",
"45045",
"720720",
"680680",
"12252240",
"11639628",
"11085360",
"10581480",
"232792560",
"223092870",
"1070845776",
"1029659400",
"2974571600",
"2868336900",
"80313433200",
"77636318760",
"2329089562800"
] | [
"nonn",
"easy"
] | 79 | 0 | 5 | [
"A001142",
"A001405",
"A002944",
"A003418",
"A025527",
"A025537",
"A056606",
"A100561"
] | [
"M0912",
"N0344"
] | N. J. A. Sloane | 2023-12-25T20:48:15 | oeisdata/seq/A002/A002944.seq | 95de35c98bf5b19d09c6f622b1f9f723 |
A002945 | Continued fraction for cube root of 2. | [
"1",
"3",
"1",
"5",
"1",
"1",
"4",
"1",
"1",
"8",
"1",
"14",
"1",
"10",
"2",
"1",
"4",
"12",
"2",
"3",
"2",
"1",
"3",
"4",
"1",
"1",
"2",
"14",
"3",
"12",
"1",
"15",
"3",
"1",
"4",
"534",
"1",
"1",
"5",
"1",
"1",
"121",
"1",
"2",
"2",
"4",
"10",
"3",
"2",
"2",
"41",
"1",
"1",
"1",
"3",
"7",
"2",
"2",
"9",
"4",
"1",
"3",
"7",
"6",
"1",
"1",
"2",
"2",
"9",
"3",
"1",
"1",
"69",
"4",
"4",
"5",
"12",
"1",
"1",
"5",
"15",
"1",
"4"
] | [
"cofr",
"nonn"
] | 75 | 0 | 5 | [
"A002351",
"A002352",
"A002580",
"A002945",
"A002946",
"A002947",
"A002948",
"A002949"
] | [
"M2220"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002945.seq | a40524dcf298fb50957e5af20da63f02 |
A002946 | Continued fraction for cube root of 3. | [
"1",
"2",
"3",
"1",
"4",
"1",
"5",
"1",
"1",
"6",
"2",
"5",
"8",
"3",
"3",
"4",
"2",
"6",
"4",
"4",
"1",
"3",
"2",
"3",
"4",
"1",
"4",
"9",
"1",
"8",
"4",
"3",
"1",
"3",
"2",
"6",
"1",
"6",
"1",
"3",
"1",
"1",
"1",
"1",
"12",
"3",
"1",
"3",
"1",
"1",
"4",
"1",
"6",
"1",
"5",
"1",
"2",
"1",
"3",
"3",
"11",
"8",
"1",
"139",
"8",
"2",
"8",
"5",
"1",
"2",
"2",
"2",
"2",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"52",
"2",
"46",
"2",
"2",
"3"
] | [
"nonn",
"cofr"
] | 44 | 0 | 5 | [
"A002353",
"A002354",
"A002581",
"A002946"
] | [
"M0408"
] | N. J. A. Sloane | 2024-07-04T19:57:43 | oeisdata/seq/A002/A002946.seq | 517642c007cc1ea5671616b1c1fad971 |
A002947 | Continued fraction for cube root of 4. | [
"1",
"1",
"1",
"2",
"2",
"1",
"3",
"2",
"3",
"1",
"3",
"1",
"30",
"1",
"4",
"1",
"2",
"9",
"6",
"4",
"1",
"1",
"2",
"7",
"2",
"3",
"2",
"1",
"6",
"1",
"1",
"1",
"25",
"1",
"7",
"7",
"1",
"1",
"1",
"1",
"266",
"1",
"3",
"2",
"1",
"3",
"60",
"1",
"5",
"1",
"8",
"5",
"6",
"1",
"4",
"20",
"1",
"4",
"1",
"1",
"14",
"1",
"4",
"4",
"1",
"1",
"1",
"1",
"7",
"3",
"1",
"1",
"2",
"1",
"3",
"1",
"4",
"4",
"1",
"1",
"1",
"3",
"1",
"34",
"8",
"2",
"10",
"6",
"3",
"1",
"2",
"31",
"1",
"1",
"1",
"4",
"3",
"44",
"1",
"45"
] | [
"nonn",
"cofr",
"easy"
] | 40 | 0 | 5 | [
"A002355",
"A002356",
"A002947",
"A005480"
] | [
"M0200"
] | N. J. A. Sloane | 2024-07-04T19:58:10 | oeisdata/seq/A002/A002947.seq | d79fccaef79f6d03ee091ef044d94b69 |
A002948 | Continued fraction for cube root of 5. | [
"1",
"1",
"2",
"2",
"4",
"3",
"3",
"1",
"5",
"1",
"1",
"4",
"10",
"17",
"1",
"14",
"1",
"1",
"3052",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"3",
"2",
"1",
"13",
"5",
"1",
"1",
"1",
"13",
"2",
"41",
"1",
"4",
"12",
"1",
"5",
"2",
"7",
"1",
"1",
"3",
"33",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"2",
"2",
"1",
"15",
"12",
"8",
"10",
"48",
"1",
"2",
"1",
"1",
"3",
"4",
"1",
"474",
"1",
"13",
"2",
"4",
"1",
"1",
"49"
] | [
"nonn",
"cofr"
] | 40 | 0 | 5 | [
"A002357",
"A002358",
"A002948",
"A005481"
] | [
"M0300"
] | N. J. A. Sloane | 2024-07-04T19:58:32 | oeisdata/seq/A002/A002948.seq | 3b31294eedcf8456d486d6c420d84d22 |
A002949 | Continued fraction for cube root of 6. | [
"1",
"1",
"4",
"2",
"7",
"3",
"508",
"1",
"5",
"5",
"1",
"1",
"1",
"2",
"1",
"1",
"24",
"1",
"1",
"1",
"3",
"3",
"30",
"4",
"10",
"158",
"6",
"1",
"1",
"2",
"12",
"1",
"10",
"1",
"1",
"3",
"2",
"1",
"1",
"89",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"7",
"1",
"2",
"18",
"1",
"17",
"2",
"2",
"10",
"14",
"3",
"1",
"2",
"1",
"2",
"1",
"5",
"1",
"1",
"2",
"26",
"1",
"4",
"65",
"1",
"1",
"1",
"27",
"1",
"2",
"1",
"4"
] | [
"nonn",
"cofr"
] | 49 | 0 | 5 | [
"A002359",
"A002360",
"A002949",
"A005486"
] | [
"M3202"
] | N. J. A. Sloane | 2024-07-05T10:07:21 | oeisdata/seq/A002/A002949.seq | c084ac87d1a241e6d70a87242d5a77b0 |
A002950 | Continued fraction for fifth root of 2. | [
"1",
"6",
"1",
"2",
"1",
"1",
"1",
"3",
"25",
"1",
"4",
"3",
"3",
"7",
"52",
"1",
"2",
"3",
"2",
"15",
"2",
"2",
"4",
"16",
"2",
"7",
"1",
"1",
"1",
"10",
"21",
"1",
"1",
"1",
"141",
"2",
"4",
"1",
"4",
"2",
"1",
"1",
"17",
"1",
"3",
"3",
"4",
"1",
"3",
"1",
"3",
"2",
"1",
"1",
"2",
"33",
"1",
"6",
"6",
"1",
"2",
"4",
"1",
"21",
"1",
"3",
"3",
"8",
"10",
"1",
"46",
"6",
"1",
"10",
"1",
"1",
"1",
"1",
"2",
"11",
"1",
"3",
"1"
] | [
"nonn",
"cofr"
] | 45 | 0 | 5 | [
"A002361",
"A002362",
"A002950",
"A005531"
] | [
"M4044"
] | N. J. A. Sloane, Herman P. Robinson | 2024-07-05T11:10:17 | oeisdata/seq/A002/A002950.seq | add6e1556ed4ea6b26b788b3e54f1263 |
A002951 | Continued fraction for fifth root of 5. | [
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"8",
"1",
"25",
"1",
"5",
"1",
"22",
"1",
"8",
"1",
"1",
"9",
"1",
"1",
"4",
"1",
"2",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"6",
"2",
"46",
"1",
"12",
"1",
"32",
"1",
"2",
"3",
"2",
"3",
"55",
"1",
"12",
"3",
"8",
"1",
"1",
"11",
"1",
"4",
"1",
"1",
"1",
"2",
"1",
"1",
"7",
"1",
"1",
"4",
"3",
"3",
"3218",
"1",
"3",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"11",
"1",
"7",
"57",
"2",
"2",
"2",
"2",
"1",
"1",
"67",
"1",
"2",
"3",
"1",
"1",
"13",
"3"
] | [
"nonn",
"cofr"
] | 48 | 0 | 5 | [
"A002363",
"A002364",
"A002951",
"A005534"
] | [
"M0059"
] | N. J. A. Sloane | 2024-07-05T11:10:12 | oeisdata/seq/A002/A002951.seq | 5b184f9fa6f32f378906789e22a68f42 |
A002952 | Smaller of unitary amicable pair. | [
"114",
"1140",
"18018",
"32130",
"44772",
"56430",
"67158",
"142310",
"180180",
"197340",
"241110",
"296010",
"308220",
"462330",
"591030",
"669900",
"671580",
"785148",
"815100",
"1004850",
"1077890",
"1080150",
"1156870",
"1177722",
"1222650",
"1281540",
"1475810",
"1511930",
"1571388"
] | [
"nonn",
"nice"
] | 34 | 0 | 5 | [
"A002952",
"A002953",
"A063991",
"A111904"
] | [
"M5372"
] | N. J. A. Sloane; extended Nov 24 2005 | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002952.seq | 101683c62bf5cc9359829068d6c4d524 |
A002953 | Larger of unitary amicable pair. | [
"126",
"1260",
"22302",
"40446",
"49308",
"64530",
"73962",
"168730",
"223020",
"286500",
"242730",
"429750",
"365700",
"548550",
"618570",
"827700",
"739620",
"827652",
"932100",
"1241550",
"1099390",
"1291050",
"1292570",
"1241478",
"1398150",
"1621500",
"1669150",
"1598470",
"1654212"
] | [
"nonn",
"nice"
] | 29 | 0 | 5 | [
"A002952",
"A002953",
"A063991",
"A111904"
] | [
"M5389"
] | N. J. A. Sloane; extended Nov 24 2005 | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002953.seq | 2a883c36a5149ddf12b4f7c287790213 |
A002954 | Smallest number such that n-th iterate of Chowla function is 0. | [
"2",
"4",
"8",
"15",
"12",
"27",
"24",
"36",
"90",
"96",
"245",
"288",
"368",
"676",
"1088",
"2300",
"1596",
"1458",
"3344",
"3888",
"5360",
"8895",
"11852",
"25971",
"23360",
"38895",
"35540",
"35595",
"36032",
"53823",
"47840",
"62055",
"59360",
"83391",
"70784",
"128079",
"145668",
"349299",
"254540",
"327495",
"293744",
"328335",
"167664"
] | [
"nonn"
] | 31 | 0 | 5 | [
"A002954",
"A048050"
] | [
"M1099"
] | N. J. A. Sloane | 2024-03-09T04:43:12 | oeisdata/seq/A002/A002954.seq | 15d507c0a259ce2bce33e6c7e023cd22 |
A002955 | Number of (unordered, unlabeled) rooted trimmed trees with n nodes. | [
"1",
"1",
"1",
"2",
"4",
"8",
"17",
"36",
"79",
"175",
"395",
"899",
"2074",
"4818",
"11291",
"26626",
"63184",
"150691",
"361141",
"869057",
"2099386",
"5088769",
"12373721",
"30173307",
"73771453",
"180800699",
"444101658",
"1093104961",
"2695730992",
"6659914175",
"16481146479",
"40849449618"
] | [
"nonn",
"nice",
"eigen"
] | 52 | 0 | 5 | [
"A002955",
"A002988",
"A002992",
"A052318",
"A052329",
"A255636"
] | [
"M1140"
] | N. J. A. Sloane | 2023-10-27T21:06:51 | oeisdata/seq/A002/A002955.seq | 47dae34625667539d1f2e4959a2a4cae |
A002956 | Number of basic invariants for cyclic group of order and degree n. | [
"1",
"2",
"4",
"7",
"15",
"20",
"48",
"65",
"119",
"166",
"348",
"367",
"827",
"974",
"1494",
"2135",
"3913",
"4038",
"7936",
"8247",
"12967",
"17476",
"29162",
"28065",
"49609",
"59358",
"83420",
"97243",
"164967",
"152548",
"280352",
"295291",
"405919",
"508162",
"674630",
"708819",
"1230259",
"1325732",
"1709230"
] | [
"nonn",
"nice"
] | 30 | 0 | 5 | [
"A002956",
"A082641",
"A096337"
] | [
"M1084"
] | N. J. A. Sloane | 2018-11-09T14:02:34 | oeisdata/seq/A002/A002956.seq | bd50509ab454b9e9b98afc5801dc65a9 |
A002957 | Numbers k such that 2*10^k - 1 is prime. | [
"1",
"2",
"3",
"5",
"7",
"26",
"27",
"53",
"147",
"236",
"248",
"386",
"401",
"546",
"785",
"1325",
"1755",
"2906",
"3020",
"5407",
"5697",
"5969",
"7517",
"15749",
"19233",
"38232",
"55347",
"1059002"
] | [
"hard",
"nonn",
"more"
] | 49 | 0 | 5 | null | [
"M0680"
] | N. J. A. Sloane, Simon Plouffe | 2023-01-17T07:11:42 | oeisdata/seq/A002/A002957.seq | a399db32f812bbcc3d41d7aa3a93c628 |
A002958 | Numbers k such that 2*25^k - 1 is prime. | [
"2",
"3",
"8",
"12",
"15",
"27",
"48",
"89",
"137",
"666",
"1383",
"1530",
"2102",
"8868",
"95031",
"111768",
"130200",
"341540"
] | [
"nonn",
"hard",
"more"
] | 37 | 0 | 5 | null | [
"M0870"
] | N. J. A. Sloane, Simon Plouffe | 2023-10-21T01:07:51 | oeisdata/seq/A002/A002958.seq | 75e0b7e01f585c48fc2be232b1c83efc |
A002959 | Numbers k such that 2*7^k - 1 is prime. | [
"1",
"2",
"4",
"5",
"14",
"24",
"29",
"36",
"46",
"80",
"474",
"1018",
"5180",
"22581",
"41649",
"52744",
"114564",
"147454",
"174180"
] | [
"nonn",
"hard",
"more"
] | 31 | 0 | 5 | null | [
"M0979"
] | N. J. A. Sloane | 2023-10-21T23:47:12 | oeisdata/seq/A002/A002959.seq | 682b29275e01af908974a7a3b9a80333 |
A002960 | The square sieve. | [
"2",
"5",
"8",
"12",
"17",
"22",
"28",
"34",
"41",
"48",
"56",
"65",
"74",
"84",
"94",
"105",
"116",
"128",
"140",
"153",
"166",
"180",
"194",
"209",
"224",
"240",
"257",
"274",
"292",
"310",
"329",
"348",
"368",
"388",
"409",
"430",
"452",
"474",
"497",
"520",
"544",
"568",
"593",
"618",
"644",
"670",
"697",
"724",
"752",
"780",
"809",
"838",
"868",
"898",
"929",
"960",
"992",
"1025",
"1058",
"1092",
"1126",
"1161",
"1196"
] | [
"nonn"
] | 67 | 0 | 5 | [
"A002960",
"A274089"
] | [
"M1346"
] | N. J. A. Sloane | 2024-05-03T10:32:02 | oeisdata/seq/A002/A002960.seq | 34c9edfe35c95d95694e16b8fc2e2e8d |
A002961 | Numbers k such that k and k+1 have same sum of divisors. | [
"14",
"206",
"957",
"1334",
"1364",
"1634",
"2685",
"2974",
"4364",
"14841",
"18873",
"19358",
"20145",
"24957",
"33998",
"36566",
"42818",
"56564",
"64665",
"74918",
"79826",
"79833",
"84134",
"92685",
"109214",
"111506",
"116937",
"122073",
"138237",
"147454",
"161001",
"162602",
"166934"
] | [
"nonn",
"nice"
] | 117 | 0 | 5 | [
"A000203",
"A002961",
"A007373",
"A015861",
"A015863",
"A015865",
"A015866",
"A015867",
"A015876",
"A015877",
"A015880",
"A015881",
"A015882",
"A015883",
"A053215",
"A053249",
"A054004",
"A181647",
"A238380"
] | [
"M4950"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2025-01-05T19:51:32 | oeisdata/seq/A002/A002961.seq | d1784d4e6b52911fe6238a796a9316b6 |
A002962 | Number of simple imperfect squared squares of order n up to symmetry. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"3",
"5",
"15",
"19",
"57",
"72",
"274",
"491",
"1766",
"3679",
"11158",
"24086",
"64754",
"132598",
"326042",
"667403",
"1627218",
"3508516"
] | [
"nonn",
"hard",
"nice",
"more"
] | 78 | 0 | 5 | [
"A002839",
"A002881",
"A002962",
"A006983",
"A014530",
"A181735",
"A217155",
"A217156"
] | [
"M2496"
] | N. J. A. Sloane | 2024-08-01T03:05:01 | oeisdata/seq/A002/A002962.seq | 1cd739d77e78423fe234aa1ee1d32a6d |
A002963 | Number of chisel strokes required for Roman numerals for n. | [
"1",
"2",
"3",
"3",
"2",
"3",
"4",
"5",
"3",
"2",
"3",
"4",
"5",
"5",
"4",
"5",
"6",
"7",
"5",
"4",
"5",
"6",
"7",
"7",
"6",
"7",
"8",
"9",
"7",
"6",
"7",
"8",
"9",
"9",
"8",
"9",
"10",
"11",
"9",
"4",
"5",
"6",
"7",
"7",
"6",
"7",
"8",
"9",
"7",
"2",
"3",
"4",
"5",
"5",
"4",
"5",
"6",
"7",
"5",
"4",
"5",
"6",
"7",
"7",
"6",
"7",
"8",
"9",
"7",
"6",
"7",
"8",
"9",
"9",
"8",
"9",
"10",
"11",
"9",
"8",
"9",
"10",
"11",
"11",
"10",
"11",
"12",
"13",
"11",
"4",
"5",
"6",
"7",
"7",
"6",
"7",
"8",
"9",
"7",
"2",
"3",
"4"
] | [
"base",
"easy",
"nonn",
"nice"
] | 42 | 0 | 5 | [
"A002963",
"A061493",
"A093783",
"A119310"
] | null | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002963.seq | 77db2e196cd57071bfdcc3a1a85f9c22 |
A002964 | Smallest number requiring n chisel strokes for its representation in Roman numerals. | [
"1",
"2",
"3",
"7",
"8",
"17",
"18",
"27",
"28",
"37",
"38",
"87",
"88",
"187",
"188",
"287",
"288",
"387",
"388",
"788",
"887",
"888",
"1388",
"1788",
"1887",
"1888",
"2388",
"2788",
"2887",
"2888",
"3388",
"3788",
"3887",
"3888"
] | [
"base",
"nonn",
"nice"
] | 22 | 0 | 5 | [
"A002963",
"A002964"
] | null | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002964.seq | 023c3583fefbf0d172671c4f06aaa458 |
A002965 | Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2). | [
"0",
"1",
"1",
"1",
"2",
"3",
"5",
"7",
"12",
"17",
"29",
"41",
"70",
"99",
"169",
"239",
"408",
"577",
"985",
"1393",
"2378",
"3363",
"5741",
"8119",
"13860",
"19601",
"33461",
"47321",
"80782",
"114243",
"195025",
"275807",
"470832",
"665857",
"1136689",
"1607521",
"2744210",
"3880899",
"6625109",
"9369319",
"15994428",
"22619537"
] | [
"nonn",
"easy",
"nice",
"frac"
] | 147 | 0 | 5 | [
"A000129",
"A001109",
"A001333",
"A002965",
"A155046"
] | [
"M0671"
] | N. J. A. Sloane | 2024-08-01T03:04:35 | oeisdata/seq/A002/A002965.seq | 3172435214ab4a1cf00ea35c16c55d7a |
A002966 | Egyptian fractions: number of solutions of 1 = 1/x_1 + ... + 1/x_n where 0 < x_1 <= ... <= x_n. | [
"1",
"1",
"3",
"14",
"147",
"3462",
"294314",
"159330691"
] | [
"nonn",
"nice",
"hard",
"more"
] | 91 | 0 | 5 | [
"A000058",
"A002966",
"A002967",
"A006585",
"A348625"
] | [
"M2981"
] | N. J. A. Sloane, Robert G. Wilson v | 2024-07-30T14:41:47 | oeisdata/seq/A002/A002966.seq | c6a96c380b70b2baf2cfed5c8c7368c2 |
A002967 | Egyptian fractions: number of solutions of 1 = 1/x_1 + ... + 1/x_n in positive integers. | [
"1",
"1",
"10",
"215",
"12231",
"2025462",
"1351857641",
"6255560531733"
] | [
"nonn",
"nice",
"hard",
"more"
] | 58 | 0 | 5 | [
"A000058",
"A002966",
"A002967",
"A006585"
] | [
"M4745"
] | N. J. A. Sloane | 2024-02-16T05:47:40 | oeisdata/seq/A002/A002967.seq | ee3758d93d0dfb98109423127e06477a |
A002968 | Number of pairings {(b(1), c(1)), (b(2), c(2)), ..., (b(n), c(n))} of the first 2n positive integers satisfying b(i) < c(i) and such that the 2n numbers c(i)+b(i) and c(i)-b(i) are all distinct. | [
"1",
"1",
"0",
"1",
"8",
"22",
"51",
"342",
"2609",
"16896",
"99114",
"876579",
"8551800",
"79595269",
"764804085",
"8905825760"
] | [
"nonn",
"more"
] | 40 | 0 | 5 | [
"A002968",
"A007631"
] | [
"M4494"
] | N. J. A. Sloane | 2023-10-21T01:20:25 | oeisdata/seq/A002/A002968.seq | 088292fbf5ef79c9047fe1f41a548954 |
A002969 | E.g.f. 1/(1 - sin(x) + sin(x)^2). | [
"1",
"1",
"0",
"-7",
"-24",
"61",
"1200",
"4493",
"-48384",
"-781319",
"-1804800",
"85444193",
"1210361856",
"-1847527499",
"-288162201600",
"-3428482320907",
"33720680349696",
"1637781983297521",
"14158399925452800",
"-431041350297034807",
"-14236987086964260864"
] | [
"sign"
] | 14 | 0 | 5 | [
"A002969",
"A029585"
] | null | N. J. A. Sloane | 2018-01-27T18:21:05 | oeisdata/seq/A002/A002969.seq | 9ba6af094c51e3955c8ec5b4be07891c |
A002970 | Numbers k such that 4*k^2 + 9 is prime. | [
"1",
"4",
"5",
"10",
"16",
"19",
"20",
"26",
"29",
"31",
"35",
"41",
"44",
"49",
"50",
"55",
"56",
"59",
"70",
"71",
"80",
"85",
"94",
"95",
"100",
"101",
"106",
"109",
"110",
"121",
"149",
"154",
"160",
"166",
"175",
"179",
"184",
"190",
"191",
"200",
"205",
"206",
"211",
"224",
"236",
"241",
"245",
"251",
"256",
"265",
"269",
"271",
"284",
"286",
"289",
"299",
"304",
"314"
] | [
"nonn",
"easy"
] | 31 | 0 | 5 | null | [
"M3248"
] | N. J. A. Sloane | 2023-10-21T01:07:43 | oeisdata/seq/A002/A002970.seq | 4c5ecd1d0e9f78ac504e7a71963552a6 |
A002971 | Numbers k such that 4*k^2 + 25 is prime. | [
"1",
"2",
"3",
"4",
"8",
"9",
"11",
"12",
"13",
"14",
"16",
"17",
"18",
"21",
"23",
"26",
"29",
"34",
"36",
"37",
"38",
"47",
"48",
"49",
"51",
"53",
"54",
"56",
"62",
"63",
"66",
"67",
"68",
"69",
"73",
"74",
"77",
"79",
"82",
"83",
"91",
"99",
"101",
"102",
"103",
"107",
"108",
"114",
"116",
"118",
"122",
"131",
"134",
"141",
"142",
"147",
"148",
"151",
"154",
"156",
"157",
"158",
"159",
"164"
] | [
"nonn",
"easy"
] | 29 | 0 | 5 | null | [
"M0587"
] | N. J. A. Sloane | 2023-10-20T22:00:27 | oeisdata/seq/A002/A002971.seq | 4f20af8cbaca6be1f5bc462762a703c9 |
A002972 | a(n) is the odd member of {x,y}, where x^2 + y^2 is the n-th prime of the form 4i+1. | [
"1",
"3",
"1",
"5",
"1",
"5",
"7",
"5",
"3",
"5",
"9",
"1",
"3",
"7",
"11",
"7",
"11",
"13",
"9",
"7",
"1",
"15",
"13",
"15",
"1",
"13",
"9",
"5",
"17",
"13",
"11",
"9",
"5",
"17",
"7",
"17",
"19",
"1",
"3",
"15",
"17",
"7",
"21",
"19",
"5",
"11",
"21",
"19",
"13",
"1",
"23",
"5",
"17",
"19",
"25",
"13",
"25",
"23",
"1",
"5",
"15",
"27",
"9",
"19",
"25",
"17",
"11",
"5",
"25",
"27",
"23",
"29",
"29",
"25",
"23",
"19",
"29",
"13",
"31",
"31"
] | [
"nonn",
"changed"
] | 81 | 0 | 5 | [
"A002144",
"A002972",
"A002973",
"A005098",
"A261858"
] | [
"M2221"
] | N. J. A. Sloane | 2025-04-20T05:10:19 | oeisdata/seq/A002/A002972.seq | 23a7bbd606cbc2f4075e9d30175c461f |
A002973 | a(n) is half of the even member of {x,y}, where x^2 + y^2 is the n-th prime of the form 4i+1. | [
"1",
"1",
"2",
"1",
"3",
"2",
"1",
"3",
"4",
"4",
"2",
"5",
"5",
"4",
"2",
"5",
"3",
"1",
"5",
"6",
"7",
"1",
"4",
"2",
"8",
"5",
"7",
"8",
"1",
"6",
"7",
"8",
"9",
"4",
"9",
"5",
"3",
"10",
"10",
"7",
"6",
"10",
"2",
"5",
"11",
"10",
"5",
"7",
"10",
"12",
"4",
"12",
"9",
"8",
"2",
"11",
"3",
"6",
"13",
"13",
"11",
"1",
"13",
"10",
"6",
"11",
"13",
"14",
"7",
"5",
"9",
"2",
"3",
"8",
"10",
"12",
"5",
"14",
"2",
"3",
"14",
"11",
"15",
"16",
"16",
"5",
"15",
"1",
"8",
"11"
] | [
"nonn"
] | 48 | 0 | 5 | [
"A002144",
"A002972",
"A002973",
"A005098"
] | [
"M0135"
] | N. J. A. Sloane | 2023-10-29T01:49:54 | oeisdata/seq/A002/A002973.seq | 7d9b44791353e9ccded0194f10e736e7 |
A002974 | Number of restricted solid partitions of n. | [
"1",
"1",
"4",
"7",
"11",
"20",
"35",
"59",
"99",
"165",
"270",
"443",
"723",
"1161",
"1861",
"2961",
"4654",
"7279",
"11317",
"17476",
"26879",
"41132",
"62601",
"94878",
"143172",
"215115",
"321995",
"480216",
"713655",
"1057192"
] | [
"nonn",
"more"
] | 29 | 0 | 5 | [
"A000219",
"A000293",
"A000334",
"A001970",
"A002974",
"A114736",
"A117433",
"A321662",
"A323657"
] | [
"M3304"
] | N. J. A. Sloane | 2019-01-23T19:59:42 | oeisdata/seq/A002/A002974.seq | 72940536095a87e83ce662f4b3a80ef5 |
A002975 | Primitive weird numbers: weird numbers with no proper weird divisors. | [
"70",
"836",
"4030",
"5830",
"7192",
"7912",
"9272",
"10792",
"17272",
"45356",
"73616",
"83312",
"91388",
"113072",
"243892",
"254012",
"338572",
"343876",
"388076",
"519712",
"539744",
"555616",
"682592",
"786208",
"1188256",
"1229152",
"1713592",
"1901728",
"2081824",
"2189024",
"3963968",
"4128448"
] | [
"nonn",
"nice"
] | 351 | 0 | 5 | [
"A002975",
"A006037",
"A258333",
"A258374",
"A258375",
"A258401",
"A258882",
"A258883",
"A258884",
"A258885"
] | [
"M5340"
] | N. J. A. Sloane | 2020-02-15T01:25:38 | oeisdata/seq/A002/A002975.seq | 46568972828d2dcd02cbd565e426358b |
A002976 | Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition). | [
"0",
"1",
"0",
"2",
"0",
"5",
"9",
"21",
"42",
"76",
"174",
"396",
"888",
"2023",
"4345",
"9921",
"22566"
] | [
"nonn",
"walk",
"more"
] | 23 | 0 | 5 | [
"A001411",
"A002976",
"A037245"
] | [
"M0034"
] | N. J. A. Sloane | 2018-12-27T07:57:25 | oeisdata/seq/A002/A002976.seq | 5ce72db5680b3b5abf37927f0ade248f |
A002977 | Klarner-Rado sequence: a(1) = 1; subsequent terms are defined by the rule that if m is present so are 2m+1 and 3m+1. | [
"1",
"3",
"4",
"7",
"9",
"10",
"13",
"15",
"19",
"21",
"22",
"27",
"28",
"31",
"39",
"40",
"43",
"45",
"46",
"55",
"57",
"58",
"63",
"64",
"67",
"79",
"81",
"82",
"85",
"87",
"91",
"93",
"94",
"111",
"115",
"117",
"118",
"121",
"127",
"129",
"130",
"135",
"136",
"139",
"159",
"163",
"165",
"166",
"171",
"172",
"175",
"183",
"187",
"189",
"190",
"193",
"202",
"223",
"231",
"235",
"237"
] | [
"easy",
"nonn",
"nice"
] | 68 | 0 | 5 | [
"A002977",
"A007448",
"A058361",
"A076291",
"A077477",
"A276786"
] | [
"M2335"
] | N. J. A. Sloane | 2022-01-13T01:31:14 | oeisdata/seq/A002/A002977.seq | acdba6d561d4e519b2820713dd7891a6 |
A002978 | Low-temperature series in y = exp(2J/kT) for antiferromagnetic susceptibility for the Ising model on honeycomb structure. | [
"0",
"0",
"4",
"0",
"12",
"8",
"48",
"96",
"320",
"888",
"2748",
"8384",
"26340",
"83568",
"268864",
"873648",
"2865216",
"9470784",
"31525524",
"105594912",
"355673804",
"1204059144",
"4094727168",
"13983145888",
"47932777680",
"164881688088",
"568990371212",
"1969356192624",
"6834965581764",
"23782468159920"
] | [
"nonn",
"nice"
] | 22 | 0 | 5 | [
"A002910",
"A002912",
"A002978",
"A007214",
"A007218",
"A047709",
"A057391",
"A057395",
"A128834"
] | [
"M3189"
] | N. J. A. Sloane | 2021-03-03T09:37:31 | oeisdata/seq/A002/A002978.seq | 33425ecc3a66941e0d11a6702e1dfcb9 |
A002979 | Low-temperature series in exp(4J/kT) for antiferromagnetic susceptibility for the Ising model on square lattice. | [
"0",
"4",
"0",
"16",
"32",
"156",
"608",
"2688",
"12064",
"55956",
"266656"
] | [
"nonn",
"nice",
"more"
] | 23 | 0 | 5 | [
"A002915",
"A002927",
"A002978",
"A002979",
"A007215"
] | [
"M3193"
] | N. J. A. Sloane | 2022-02-22T00:29:14 | oeisdata/seq/A002/A002979.seq | e8a728cebdf37aab68cdbd0233d721a8 |
A002980 | E.g.f: 1/(1 - sin(x) + sin(x)^2 - sin(x)^3). | [
"1",
"1",
"0",
"-1",
"24",
"121",
"-480",
"-4201",
"48384",
"478801",
"-4968960",
"-62871601",
"885586944",
"12996863881",
"-203910819840",
"-3476839930201",
"63397697224704",
"1221998040867361",
"-24917358603141120",
"-537278342731116001"
] | [
"sign"
] | 15 | 0 | 5 | null | null | N. J. A. Sloane | 2023-10-21T01:07:47 | oeisdata/seq/A002/A002980.seq | f587f1bee74e06bc3e8c478e8d9cd6f5 |
A002981 | Numbers k such that k! + 1 is prime. | [
"0",
"1",
"2",
"3",
"11",
"27",
"37",
"41",
"73",
"77",
"116",
"154",
"320",
"340",
"399",
"427",
"872",
"1477",
"6380",
"26951",
"110059",
"150209",
"288465",
"308084",
"422429"
] | [
"nonn",
"nice",
"hard",
"more"
] | 185 | 0 | 5 | [
"A002981",
"A002982",
"A064295",
"A088332",
"A090660",
"A093804"
] | [
"M0908"
] | N. J. A. Sloane | 2025-03-19T08:23:30 | oeisdata/seq/A002/A002981.seq | f0270f673cf68c8a3c8b64a9eb6568f5 |
A002982 | Numbers k such that k! - 1 is prime. | [
"3",
"4",
"6",
"7",
"12",
"14",
"30",
"32",
"33",
"38",
"94",
"166",
"324",
"379",
"469",
"546",
"974",
"1963",
"3507",
"3610",
"6917",
"21480",
"34790",
"94550",
"103040",
"147855",
"208003"
] | [
"hard",
"more",
"nonn",
"nice"
] | 153 | 0 | 5 | [
"A000142",
"A001221",
"A001222",
"A002981",
"A002982",
"A046051",
"A054991",
"A055490",
"A088332",
"A112798",
"A325272"
] | [
"M2321"
] | N. J. A. Sloane | 2025-03-19T08:23:52 | oeisdata/seq/A002/A002982.seq | b51684cfde25cdfdc61df27cdf958abb |
A002983 | Expansion of e.g.f. 1/(1 - x*exp(x) + x^2*exp(2*x)). | [
"1",
"1",
"2",
"-3",
"-92",
"-1015",
"-8274",
"-35483",
"496280",
"18127377",
"344895130",
"4427896781",
"15653147412",
"-1300426685831",
"-53961316375498",
"-1345994948213355",
"-20836853905979984",
"60576513730122017",
"19579099820703961266",
"894668319876527296669",
"26059066415716831363820"
] | [
"sign"
] | 15 | 0 | 5 | null | null | N. J. A. Sloane | 2020-03-17T07:25:09 | oeisdata/seq/A002/A002983.seq | 4412fae90428a75ea89c9284fd278f16 |
A002984 | a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))). | [
"1",
"2",
"3",
"4",
"6",
"8",
"10",
"13",
"16",
"20",
"24",
"28",
"33",
"38",
"44",
"50",
"57",
"64",
"72",
"80",
"88",
"97",
"106",
"116",
"126",
"137",
"148",
"160",
"172",
"185",
"198",
"212",
"226",
"241",
"256",
"272",
"288",
"304",
"321",
"338",
"356",
"374",
"393",
"412",
"432",
"452",
"473",
"494",
"516",
"538",
"561",
"584",
"608",
"632",
"657",
"682",
"708",
"734"
] | [
"nonn",
"easy",
"nice"
] | 57 | 0 | 5 | [
"A000302",
"A002984",
"A109965"
] | [
"M0554"
] | N. J. A. Sloane | 2024-02-14T15:03:34 | oeisdata/seq/A002/A002984.seq | 841aeeddde2ff4f1baea48bed1b47149 |
A002985 | Number of trees in an n-node wheel. | [
"1",
"1",
"1",
"2",
"3",
"6",
"11",
"20",
"36",
"64",
"108",
"179",
"292",
"464",
"727",
"1124",
"1714",
"2585",
"3866",
"5724",
"8418",
"12290",
"17830",
"25713",
"36898",
"52664",
"74837",
"105873",
"149178",
"209364",
"292793",
"407990",
"566668",
"784521",
"1082848",
"1490197",
"2045093",
"2798895",
"3820629",
"5202085"
] | [
"nonn"
] | 28 | 0 | 5 | [
"A002985",
"A003293",
"A004146",
"A008804"
] | [
"M0783"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002985.seq | 888d0856d08930058fb3ad9db494cc06 |
A002986 | Number of non-cyclic hydrocarbons with n carbon atoms (excluding stereoisomers). | [
"1",
"3",
"4",
"12",
"27",
"84",
"247",
"826",
"2777",
"9868",
"35579",
"131847",
"495671",
"1893819",
"7320954",
"28619581",
"112923053",
"449343946",
"1801330288",
"7269849395",
"29517342098",
"120507480668",
"494449558111",
"2038073860257",
"8436185990286",
"35055744550563",
"146195133355612",
"611723431211193"
] | [
"nonn"
] | 77 | 0 | 5 | [
"A000602",
"A002986"
] | [
"M2376"
] | N. J. A. Sloane | 2022-06-25T17:07:39 | oeisdata/seq/A002/A002986.seq | da5b51016b36ce7d277c73f6ff49d897 |
A002987 | a(1) = 1; a(2) = 2; a(n) == a(k) (mod n-k) for all 1 < k < n. | [
"1",
"2",
"1",
"4",
"5",
"46",
"37",
"176",
"289",
"1450",
"641",
"24652",
"15061",
"18734",
"110125",
"46216",
"3137",
"1460386",
"10506529",
"78796820",
"77855941",
"123250702",
"55222421",
"3066673744",
"54926785",
"4846380026",
"20185744177",
"58863278476",
"7499028629",
"1410916015630"
] | [
"nonn"
] | 16 | 0 | 5 | null | [
"M0169"
] | N. J. A. Sloane | 2023-10-20T22:05:38 | oeisdata/seq/A002/A002987.seq | 199c2766fc08d906487c0ccc5280c78c |
A002988 | Number of trimmed trees with n nodes. | [
"1",
"1",
"1",
"0",
"1",
"1",
"2",
"3",
"6",
"10",
"21",
"39",
"82",
"167",
"360",
"766",
"1692",
"3726",
"8370",
"18866",
"43029",
"98581",
"227678",
"528196",
"1232541",
"2888142",
"6798293",
"16061348",
"38086682",
"90607902",
"216230205",
"517482053",
"1241778985",
"2987268628",
"7203242490"
] | [
"nonn",
"nice"
] | 41 | 0 | 5 | [
"A002955",
"A002988",
"A002989",
"A002992",
"A052318",
"A052329"
] | [
"M0777"
] | N. J. A. Sloane | 2022-01-31T06:47:19 | oeisdata/seq/A002/A002988.seq | 53bcd63acec94972eb11fc2fbb4bd743 |
A002989 | Number of n-node trees with a forbidden limb of length 3. | [
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"7",
"14",
"28",
"61",
"131",
"297",
"678",
"1592",
"3770",
"9096",
"22121",
"54451",
"135021",
"337651",
"849698",
"2152048",
"5479408",
"14022947",
"36048514",
"93061268",
"241160180",
"627179689",
"1636448181",
"4282964600",
"11241488853",
"29584389474"
] | [
"nonn"
] | 37 | 0 | 5 | [
"A002955",
"A002988",
"A002989",
"A002992",
"A052318",
"A052329"
] | [
"M1082"
] | N. J. A. Sloane | 2023-10-21T01:07:39 | oeisdata/seq/A002/A002989.seq | 7aa115ce1902dbf5ac0f91eeeb976330 |
A002990 | Number of n-node trees with a forbidden limb of length 4. | [
"1",
"1",
"1",
"1",
"2",
"2",
"5",
"9",
"19",
"38",
"86",
"188",
"439",
"1026",
"2472",
"5997",
"14835",
"36964",
"93246",
"236922",
"607111",
"1565478",
"4062797",
"10599853",
"27797420",
"73224806",
"193709710",
"514406793",
"1370937140",
"3665714528",
"9831891555",
"26445886506",
"71325268179"
] | [
"nonn"
] | 35 | 0 | 5 | [
"A002955",
"A002988",
"A002989",
"A002990",
"A002991",
"A002992",
"A052318",
"A052319",
"A052320",
"A052321",
"A052322",
"A052323",
"A052324",
"A052325",
"A052326",
"A052327",
"A052328",
"A052329"
] | [
"M0350"
] | N. J. A. Sloane | 2023-10-21T01:14:46 | oeisdata/seq/A002/A002990.seq | cd5b8f4073dac14cb9f517c55d400a45 |
A002991 | Number of n-node trees with a forbidden limb of length 5. | [
"1",
"1",
"1",
"1",
"2",
"3",
"5",
"10",
"21",
"43",
"97",
"215",
"503",
"1187",
"2876",
"7033",
"17510",
"43961",
"111664",
"285809",
"737632",
"1915993",
"5008652",
"13163785",
"34774873",
"92282214",
"245930746",
"657931603",
"1766481135",
"4758553683",
"12858286083",
"34844908142",
"94681272368"
] | [
"nonn"
] | 38 | 0 | 5 | [
"A002955",
"A002988",
"A002991",
"A002992",
"A052318",
"A052329"
] | [
"M0725"
] | N. J. A. Sloane | 2023-10-21T01:07:36 | oeisdata/seq/A002/A002991.seq | bfae95a5e020234e9766593c570f11cb |
A002992 | Number of n-node trees with a forbidden limb of length 6. | [
"1",
"1",
"1",
"1",
"2",
"3",
"6",
"10",
"22",
"45",
"102",
"226",
"531",
"1253",
"3044",
"7456",
"18604",
"46798",
"119133",
"305567",
"790375",
"2057523",
"5390759",
"14200122",
"37598572",
"100005401",
"267131927",
"716318650",
"1927758155",
"5205240762",
"14098580633",
"38296720823",
"104308468102",
"284822276099"
] | [
"nonn"
] | 37 | 0 | 5 | [
"A002955",
"A002988",
"A002991",
"A002992",
"A052318",
"A052329"
] | [
"M0778"
] | N. J. A. Sloane | 2023-10-21T01:07:28 | oeisdata/seq/A002/A002992.seq | 7dcbefca6865424c825e1aad0ea2a842 |
A002993 | Initial digits of squares. | [
"0",
"1",
"4",
"9",
"1",
"2",
"3",
"4",
"6",
"8",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"3",
"4",
"4",
"4",
"5",
"5",
"6",
"6",
"7",
"7",
"8",
"9",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"1"
] | [
"nonn",
"base"
] | 38 | 0 | 5 | [
"A000030",
"A000290",
"A002993",
"A002994",
"A089951"
] | [
"M3348"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002993.seq | 72fb43d6f4ba8950d61716a82e814160 |
A002994 | Initial digit of cubes. | [
"0",
"1",
"8",
"2",
"6",
"1",
"2",
"3",
"5",
"7",
"1",
"1",
"1",
"2",
"2",
"3",
"4",
"4",
"5",
"6",
"8",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"4",
"5",
"5",
"5",
"6",
"6",
"7",
"7",
"8",
"9",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"6",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"1"
] | [
"nonn",
"easy",
"base"
] | 37 | 0 | 5 | [
"A000030",
"A000578",
"A002993",
"A002994",
"A144582"
] | [
"M4468"
] | N. J. A. Sloane | 2025-02-16T08:32:27 | oeisdata/seq/A002/A002994.seq | 281a219f4372b1c1f78186ec5a69af77 |
A002995 | Number of unlabeled planar trees (also called plane trees) with n nodes. | [
"1",
"1",
"1",
"1",
"2",
"3",
"6",
"14",
"34",
"95",
"280",
"854",
"2694",
"8714",
"28640",
"95640",
"323396",
"1105335",
"3813798",
"13269146",
"46509358",
"164107650",
"582538732",
"2079165208",
"7457847082",
"26873059986",
"97239032056",
"353218528324",
"1287658723550",
"4709785569184"
] | [
"nonn",
"easy",
"nice"
] | 116 | 0 | 5 | [
"A000055",
"A000108",
"A002995",
"A002996",
"A003239",
"A005354",
"A057502",
"A061417",
"A064640",
"A303694",
"A303864"
] | [
"M0805"
] | N. J. A. Sloane | 2024-10-12T09:05:47 | oeisdata/seq/A002/A002995.seq | 4c4a44c03b23af9ae10c09e1d161eb64 |
A002996 | a(n) = Sum_{k|n} mu(k)*Catalan(n/k) (mu = Moebius function A008683). | [
"1",
"1",
"4",
"12",
"41",
"126",
"428",
"1416",
"4857",
"16753",
"58785",
"207868",
"742899",
"2674010",
"9694799",
"35356240",
"129644789",
"477633711",
"1767263189",
"6564103612",
"24466266587",
"91482504853",
"343059613649",
"1289903937896",
"4861946401410",
"18367352329251",
"69533550911142",
"263747949075908",
"1002242216651367"
] | [
"nonn",
"easy",
"nice"
] | 42 | 0 | 5 | [
"A002995",
"A002996",
"A027750"
] | [
"M3454"
] | N. J. A. Sloane | 2023-07-06T06:39:24 | oeisdata/seq/A002/A002996.seq | 4427748b71d15a915043946b8b31df9e |
A002997 | Carmichael numbers: composite numbers k such that a^(k-1) == 1 (mod k) for every a coprime to k. | [
"561",
"1105",
"1729",
"2465",
"2821",
"6601",
"8911",
"10585",
"15841",
"29341",
"41041",
"46657",
"52633",
"62745",
"63973",
"75361",
"101101",
"115921",
"126217",
"162401",
"172081",
"188461",
"252601",
"278545",
"294409",
"314821",
"334153",
"340561",
"399001",
"410041",
"449065",
"488881",
"512461",
"530881",
"552721"
] | [
"nonn",
"nice"
] | 429 | 0 | 5 | [
"A001567",
"A002322",
"A002445",
"A002997",
"A006931",
"A024556",
"A027748",
"A055553",
"A064238",
"A064262",
"A083737",
"A087441",
"A087442",
"A135717",
"A141711",
"A153581",
"A225498",
"A285512",
"A285549",
"A309132",
"A324050",
"A324290",
"A324315",
"A324316",
"A324973",
"A324975",
"A324977",
"A326690"
] | [
"M5462"
] | N. J. A. Sloane | 2025-04-05T10:27:22 | oeisdata/seq/A002/A002997.seq | 708ea956d294bc32d5add611bc70ffb2 |
A002998 | Smallest multiple of n whose digits sum to n. | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"190",
"209",
"48",
"247",
"266",
"195",
"448",
"476",
"198",
"874",
"3980",
"399",
"2398",
"1679",
"888",
"4975",
"1898",
"999",
"7588",
"4988",
"39990",
"8959",
"17888",
"42999",
"28798",
"57995",
"29988",
"37999",
"59888",
"49998",
"699880",
"177899",
"88998",
"99889",
"479996",
"499995"
] | [
"nonn",
"base",
"easy",
"nice"
] | 57 | 0 | 5 | [
"A002998",
"A005349",
"A131382"
] | [
"M0489"
] | N. J. A. Sloane | 2023-06-30T08:19:03 | oeisdata/seq/A002/A002998.seq | 1b63c5cc6e963ed18b4502c427d4e2ba |
A002999 | Expansion of (1 + x*exp(x))^2. | [
"1",
"2",
"6",
"18",
"56",
"170",
"492",
"1358",
"3600",
"9234",
"23060",
"56342",
"135192",
"319514",
"745500",
"1720350",
"3932192",
"8912930",
"20054052",
"44826662",
"99614760",
"220201002",
"484442156",
"1061158958",
"2315255856",
"5033164850",
"10905190452",
"23555211318",
"50734301240",
"108984795194"
] | [
"nonn",
"easy"
] | 26 | 0 | 5 | [
"A001787",
"A001815",
"A002999",
"A003013",
"A005183",
"A048482"
] | null | N. J. A. Sloane | 2023-10-21T01:12:09 | oeisdata/seq/A002/A002999.seq | 5cc2799208e627b456d641a2ff4dc25f |
A003000 | Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet. | [
"1",
"2",
"2",
"4",
"6",
"12",
"20",
"40",
"74",
"148",
"284",
"568",
"1116",
"2232",
"4424",
"8848",
"17622",
"35244",
"70340",
"140680",
"281076",
"562152",
"1123736",
"2247472",
"4493828",
"8987656",
"17973080",
"35946160",
"71887896",
"143775792",
"287542736",
"575085472",
"1150153322",
"2300306644",
"4600578044",
"9201156088"
] | [
"nonn",
"easy",
"nice"
] | 113 | 0 | 5 | [
"A003000",
"A019308",
"A019309",
"A045690",
"A094536",
"A094537",
"A242430"
] | [
"M0328"
] | N. J. A. Sloane | 2024-09-29T09:19:55 | oeisdata/seq/A003/A003000.seq | f65fba30d51cb7a0e59261d2bbcd8407 |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.