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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A000301
|
a(n) = a(n-1)*a(n-2) with a(0) = 1, a(1) = 2; also a(n) = 2^Fibonacci(n).
|
[
"1",
"2",
"2",
"4",
"8",
"32",
"256",
"8192",
"2097152",
"17179869184",
"36028797018963968",
"618970019642690137449562112",
"22300745198530623141535718272648361505980416",
"13803492693581127574869511724554050904902217944340773110325048447598592"
] |
[
"nonn",
"easy"
] | 98
| 0
| 2
|
[
"A000045",
"A000079",
"A000301",
"A000304",
"A010098",
"A010099",
"A010100",
"A073115",
"A124091",
"A244003"
] | null |
N. J. A. Sloane, Mar 15 1996
| 2025-01-03T12:22:38
|
oeisdata/seq/A000/A000301.seq
|
37880eeecf8e3ec0726a6f940df08540
|
A000302
|
Powers of 4: a(n) = 4^n.
|
[
"1",
"4",
"16",
"64",
"256",
"1024",
"4096",
"16384",
"65536",
"262144",
"1048576",
"4194304",
"16777216",
"67108864",
"268435456",
"1073741824",
"4294967296",
"17179869184",
"68719476736",
"274877906944",
"1099511627776",
"4398046511104",
"17592186044416",
"70368744177664",
"281474976710656"
] |
[
"easy",
"nonn",
"nice",
"core"
] | 389
| 0
| 2
|
[
"A000302",
"A000351",
"A024036",
"A032443",
"A052539",
"A083420",
"A249307"
] |
[
"M3518",
"N1428"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20
|
oeisdata/seq/A000/A000302.seq
|
b8e6fdf2746f6a1074fd9bfdc9921dd8
|
A000303
|
Number of permutations of [n] in which the longest increasing run has length 2.
|
[
"0",
"1",
"4",
"16",
"69",
"348",
"2016",
"13357",
"99376",
"822040",
"7477161",
"74207208",
"797771520",
"9236662345",
"114579019468",
"1516103040832",
"21314681315997",
"317288088082404",
"4985505271920096",
"82459612672301845",
"1432064398910663704",
"26054771465540507272"
] |
[
"nonn"
] | 38
| 1
| 3
|
[
"A000303",
"A000402",
"A000434",
"A000456",
"A000467",
"A001250",
"A001251",
"A001252",
"A001253",
"A008304",
"A010026",
"A049774",
"A211318",
"A230055"
] |
[
"M3522",
"N1430"
] |
N. J. A. Sloane
| 2020-02-22T22:27:18
|
oeisdata/seq/A000/A000303.seq
|
626321eb49ad6461a484213e4aff2384
|
A000304
|
a(n) = a(n-1)*a(n-2).
|
[
"2",
"3",
"6",
"18",
"108",
"1944",
"209952",
"408146688",
"85691213438976",
"34974584955819144511488",
"2997014624388697307377363936018956288",
"104819342594514896999066634490728502944926883876041385836544"
] |
[
"nonn"
] | 56
| 2
| 1
|
[
"A000045",
"A000301",
"A000304",
"A001222",
"A006519",
"A010098",
"A038500",
"A249406"
] | null |
N. J. A. Sloane
| 2025-01-05T19:51:31
|
oeisdata/seq/A000/A000304.seq
|
5a35fda3d9e16d46505b23c2d0382555
|
A000305
|
Number of certain rooted planar maps.
|
[
"1",
"4",
"18",
"89",
"466",
"2537",
"14209",
"81316",
"473338",
"2793454",
"16674417",
"100487896",
"610549829",
"3735850007",
"23000055178",
"142370597601",
"885521350882",
"5531501612071",
"34686798239678",
"218273864005214",
"1377897874711437"
] |
[
"nonn"
] | 30
| 1
| 2
|
[
"A000305",
"A046652"
] |
[
"M3543",
"N1435"
] |
N. J. A. Sloane
| 2016-08-21T01:57:52
|
oeisdata/seq/A000/A000305.seq
|
023727c2d81518858c2a049f759e773a
|
A000306
|
Number of trees of diameter 8.
|
[
"1",
"4",
"19",
"66",
"219",
"645",
"1813",
"4802",
"12265",
"30198",
"72396",
"169231",
"387707",
"871989",
"1930868",
"4215615",
"9091410",
"19389327",
"40944999",
"85691893",
"177898521",
"366614456",
"750494796",
"1526979694",
"3089556090",
"6219191608",
"12460307373",
"24856533408",
"49387348955",
"97765283686",
"192870793594",
"379287172272"
] |
[
"nonn"
] | 39
| 9
| 2
|
[
"A000306",
"A034853"
] |
[
"M3552",
"N1440"
] |
N. J. A. Sloane
| 2023-05-19T04:23:04
|
oeisdata/seq/A000/A000306.seq
|
36da5916ec187dccf5805382ab7cad03
|
A000307
|
Number of 4-level labeled rooted trees with n leaves.
|
[
"1",
"1",
"4",
"22",
"154",
"1304",
"12915",
"146115",
"1855570",
"26097835",
"402215465",
"6734414075",
"121629173423",
"2355470737637",
"48664218965021",
"1067895971109199",
"24795678053493443",
"607144847919796830",
"15630954703539323090",
"421990078975569031642",
"11918095123121138408128"
] |
[
"nonn",
"easy"
] | 61
| 0
| 3
|
[
"A000110",
"A000258",
"A000307",
"A000357",
"A000405",
"A001669",
"A039812",
"A144150"
] |
[
"M3590",
"N1455"
] |
N. J. A. Sloane
| 2018-08-06T14:54:43
|
oeisdata/seq/A000/A000307.seq
|
77ff9c4c279dbc07957961d669a9b6a3
|
A000308
|
a(n) = a(n-1)*a(n-2)*a(n-3) with a(1)=1, a(2)=2 and a(3)=3.
|
[
"1",
"2",
"3",
"6",
"36",
"648",
"139968",
"3265173504",
"296148833645101056",
"135345882205792807436868315512832",
"130876399105969522361889021452224949874232743897657526714368"
] |
[
"nonn"
] | 19
| 1
| 2
|
[
"A000304",
"A000308",
"A000336",
"A063401"
] | null |
N. J. A. Sloane
| 2022-02-01T00:52:27
|
oeisdata/seq/A000/A000308.seq
|
e523cea881b64f0d0f1948c6aed48e9f
|
A000309
|
Number of rooted planar bridgeless cubic maps with 2n nodes.
|
[
"1",
"1",
"4",
"24",
"176",
"1456",
"13056",
"124032",
"1230592",
"12629760",
"133186560",
"1436098560",
"15774990336",
"176028860416",
"1990947110912",
"22783499599872",
"263411369705472",
"3073132646563840",
"36143187370967040",
"428157758086840320",
"5105072641718353920",
"61228492804372561920"
] |
[
"nonn",
"nice"
] | 114
| 0
| 3
|
[
"A000139",
"A000168",
"A000260",
"A000264",
"A000309",
"A000356",
"A000698",
"A000699",
"A002005",
"A006335",
"A062980",
"A267827",
"A358091"
] |
[
"M3601",
"N1460"
] |
N. J. A. Sloane and Robert G. Wilson v
| 2025-02-25T05:46:36
|
oeisdata/seq/A000/A000309.seq
|
00e52f2fcca9a7395f01ef64b9925b15
|
A000310
|
Coefficients of iterated exponentials.
|
[
"1",
"4",
"26",
"234",
"2696",
"37919",
"630521",
"12111114",
"264051201",
"6445170229",
"174183891471",
"5164718385337",
"166737090160871",
"5822980248613990",
"218756388226681557",
"8797723991458469015",
"377159237609540937788",
"17170729962232112834302",
"827382365085791968518198",
"42070004707327023844695198"
] |
[
"nonn"
] | 37
| 1
| 2
|
[
"A000268",
"A000310",
"A000359",
"A000406",
"A001765",
"A003713",
"A039816"
] |
[
"M3612",
"N1464"
] |
N. J. A. Sloane
| 2022-02-12T03:38:06
|
oeisdata/seq/A000/A000310.seq
|
a978f7e8521cbbf5799fc2def51a3636
|
A000311
|
Schroeder's fourth problem; also series-reduced rooted trees with n labeled leaves; also number of total partitions of n.
|
[
"0",
"1",
"1",
"4",
"26",
"236",
"2752",
"39208",
"660032",
"12818912",
"282137824",
"6939897856",
"188666182784",
"5617349020544",
"181790703209728",
"6353726042486272",
"238513970965257728",
"9571020586419012608",
"408837905660444010496",
"18522305410364986906624"
] |
[
"nonn",
"core",
"easy",
"nice"
] | 285
| 0
| 4
|
[
"A000084",
"A000110",
"A000169",
"A000311",
"A000669",
"A000670",
"A001003",
"A001678",
"A002846",
"A005121",
"A005640",
"A005804",
"A005805",
"A006351",
"A007827",
"A042977",
"A048816",
"A060356",
"A064060",
"A119649",
"A133314",
"A134685",
"A134991",
"A135494",
"A141268",
"A196545",
"A213427",
"A269939",
"A316651",
"A316652",
"A318231",
"A330626",
"A330627"
] |
[
"M3613",
"N1465"
] |
N. J. A. Sloane
| 2025-06-30T18:26:51
|
oeisdata/seq/A000/A000311.seq
|
e11a035049d5bf8ea5330c89480ad1c0
|
A000312
|
a(n) = n^n; number of labeled mappings from n points to themselves (endofunctions).
|
[
"1",
"1",
"4",
"27",
"256",
"3125",
"46656",
"823543",
"16777216",
"387420489",
"10000000000",
"285311670611",
"8916100448256",
"302875106592253",
"11112006825558016",
"437893890380859375",
"18446744073709551616",
"827240261886336764177",
"39346408075296537575424",
"1978419655660313589123979"
] |
[
"nonn",
"easy",
"core",
"nice"
] | 350
| 0
| 3
|
[
"A000107",
"A000169",
"A000272",
"A000312",
"A001372",
"A001923",
"A002109",
"A007778",
"A007781",
"A007830",
"A008279",
"A008785",
"A008791",
"A019538",
"A048993",
"A055137",
"A055858",
"A056665",
"A062206",
"A066324",
"A066588",
"A081721",
"A083648",
"A085741",
"A130293",
"A168658",
"A174824",
"A204688",
"A212333",
"A275549",
"A275558"
] |
[
"M3619",
"N1469"
] |
N. J. A. Sloane
| 2025-06-27T21:58:40
|
oeisdata/seq/A000/A000312.seq
|
8a605c58d80e48a54ae2070462ef8c05
|
A000313
|
Number of permutations of length n with 3 consecutive ascending pairs.
|
[
"0",
"0",
"0",
"1",
"4",
"30",
"220",
"1855",
"17304",
"177996",
"2002440",
"24474285",
"323060540",
"4581585866",
"69487385604",
"1122488536715",
"19242660629360",
"348933579412440",
"6673354706262864",
"134252194678935321",
"2834212998777523380",
"62651024183503148470",
"1447238658638922729580"
] |
[
"nonn",
"easy"
] | 78
| 1
| 5
|
[
"A000166",
"A000255",
"A000274",
"A000313",
"A001260",
"A001261",
"A010027"
] |
[
"M3633",
"N1477"
] |
N. J. A. Sloane
| 2024-07-28T16:39:39
|
oeisdata/seq/A000/A000313.seq
|
636aa971b8e2b8293b2974ef3b6dcdb6
|
A000314
|
Number of mixed Husimi trees with n nodes; or labeled polygonal cacti with bridges.
|
[
"1",
"1",
"1",
"4",
"31",
"362",
"5676",
"111982",
"2666392",
"74433564",
"2384579440",
"86248530296",
"3476794472064",
"154579941792256",
"7514932528712896",
"396595845237540600",
"22581060079942183936",
"1379771773100463174608",
"90059660791562688208128",
"6253914166368448348512064"
] |
[
"nonn"
] | 30
| 0
| 4
|
[
"A000083",
"A000237",
"A000314",
"A035082",
"A035349",
"A035357"
] |
[
"M3639",
"N1480"
] |
N. J. A. Sloane
| 2014-12-29T17:29:42
|
oeisdata/seq/A000/A000314.seq
|
74ca67d7dfed76b877684d19d9158af7
|
A000315
|
Number of reduced Latin squares of order n; also number of labeled loops (quasigroups with an identity element) with a fixed identity element.
|
[
"1",
"1",
"1",
"4",
"56",
"9408",
"16942080",
"535281401856",
"377597570964258816",
"7580721483160132811489280",
"5363937773277371298119673540771840"
] |
[
"nonn",
"hard",
"nice",
"more"
] | 101
| 1
| 4
|
[
"A000315",
"A000479",
"A002860",
"A003090",
"A040082",
"A057771",
"A057997"
] |
[
"M3690",
"N1508"
] |
N. J. A. Sloane
| 2025-06-30T22:23:25
|
oeisdata/seq/A000/A000315.seq
|
8fac9b977c318dd8308c5765a58ff5dd
|
A000316
|
Two decks each have n kinds of cards, 2 of each kind. The first deck is laid out in order. The second deck is shuffled and laid out next to the first. A match occurs if a card from the second deck is next to a card of the same kind from the first deck. a(n) is the number of ways of achieving no matches.
|
[
"1",
"0",
"4",
"80",
"4752",
"440192",
"59245120",
"10930514688",
"2649865335040",
"817154768973824",
"312426715251262464",
"145060238642780180480",
"80403174342119992692736",
"52443098500204184915312640",
"39764049487996490505336537088"
] |
[
"nonn",
"easy",
"nice"
] | 90
| 0
| 3
|
[
"A000166",
"A000316",
"A000459",
"A337302"
] |
[
"M3702",
"N1513"
] |
N. J. A. Sloane
| 2023-03-26T10:27:45
|
oeisdata/seq/A000/A000316.seq
|
c3cb41cbe3095152e8e4040a683fe5a3
|
A000317
|
a(n+1) = a(n)^2 - a(n)*a(n-1) + a(n-1)^2.
|
[
"1",
"2",
"3",
"7",
"37",
"1159",
"1301767",
"1693089917617",
"2866551265129451657751739",
"8217116155610406522540626640615749228405055996847"
] |
[
"nonn"
] | 35
| 1
| 2
| null | null |
N. J. A. Sloane
| 2025-02-28T10:23:02
|
oeisdata/seq/A000/A000317.seq
|
75b8447ecb3637e8eee50bc3d6089ad6
|
A000318
|
Generalized tangent numbers d(4,n).
|
[
"4",
"128",
"16384",
"4456448",
"2080374784",
"1483911200768",
"1501108249821184",
"2044143848640217088",
"3605459138582973251584",
"7995891855149741436305408",
"21776918737280678860353961984",
"71454103701490016776039304265728",
"278008871543597996197497752082448384"
] |
[
"nonn",
"easy"
] | 46
| 1
| 1
|
[
"A000182",
"A000191",
"A000318",
"A000490",
"A349264"
] |
[
"M3713",
"N1517"
] |
N. J. A. Sloane
| 2022-06-22T09:25:26
|
oeisdata/seq/A000/A000318.seq
|
b2bb0b55d4bb26f229d71a9447b9a2d8
|
A000319
|
a(n) = floor(b(n)), where b(n) = tan(b(n-1)), b(0)=1.
|
[
"1",
"1",
"74",
"-1",
"-2",
"-3",
"0",
"1",
"30",
"-2",
"-2",
"29",
"1",
"4",
"-6",
"0",
"1",
"2",
"-1",
"-1",
"-1",
"-1",
"-2",
"-9",
"0",
"0",
"1",
"2",
"-2",
"-35",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-2",
"-3",
"0",
"0",
"1",
"5",
"-2",
"-2",
"3",
"1",
"1",
"-4",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-2",
"-3",
"1",
"2",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-2",
"-3",
"0",
"1",
"2",
"-1",
"-2",
"-21",
"-7",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
] |
[
"sign"
] | 47
| 0
| 3
|
[
"A000319",
"A000329",
"A053169",
"A053873",
"A085665",
"A085666",
"A381230",
"A381231"
] | null |
N. J. A. Sloane
| 2025-03-18T01:39:11
|
oeisdata/seq/A000/A000319.seq
|
a983bbf44d50c731f426b601c29f1c80
|
A000320
|
Generalized tangent numbers d(5,n).
|
[
"4",
"272",
"55744",
"23750912",
"17328937984",
"19313964388352",
"30527905292468224",
"64955605537174126592",
"179013508069217017790464",
"620314831396713435870789632",
"2639743384489464189324523208704",
"13533573366345611477262311433961472",
"82274260343572247169162187576069586944"
] |
[
"nonn"
] | 34
| 1
| 1
|
[
"A000187",
"A000318",
"A000320",
"A349264",
"A349265"
] |
[
"M3722",
"N1521"
] |
N. J. A. Sloane
| 2021-11-22T04:03:25
|
oeisdata/seq/A000/A000320.seq
|
4a48d3f8f0d18134bd5f6be973edec95
|
A000321
|
H_n(-1/2), where H_n(x) is Hermite polynomial of degree n.
|
[
"1",
"-1",
"-1",
"5",
"1",
"-41",
"31",
"461",
"-895",
"-6481",
"22591",
"107029",
"-604031",
"-1964665",
"17669471",
"37341149",
"-567425279",
"-627491489",
"19919950975",
"2669742629",
"-759627879679",
"652838174519",
"31251532771999",
"-59976412450835",
"-1377594095061119",
"4256461892701199",
"64623242860354751"
] |
[
"sign",
"easy"
] | 94
| 0
| 4
|
[
"A000186",
"A000321",
"A062267",
"A144141",
"A293604"
] |
[
"M3732",
"N1526"
] |
N. J. A. Sloane
| 2023-04-10T10:52:08
|
oeisdata/seq/A000/A000321.seq
|
9e3ae5c4c1bc9162e146dfeb2969dc53
|
A000322
|
Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) with a(0) = a(1) = a(2) = a(3) = a(4) = 1.
|
[
"1",
"1",
"1",
"1",
"1",
"5",
"9",
"17",
"33",
"65",
"129",
"253",
"497",
"977",
"1921",
"3777",
"7425",
"14597",
"28697",
"56417",
"110913",
"218049",
"428673",
"842749",
"1656801",
"3257185",
"6403457",
"12588865",
"24749057",
"48655365",
"95653929",
"188050673",
"369697889",
"726806913",
"1428864769"
] |
[
"nonn",
"easy"
] | 83
| 0
| 6
|
[
"A000045",
"A000288",
"A000322",
"A000383",
"A001591",
"A060455",
"A186192"
] |
[
"M3786",
"N1542"
] |
N. J. A. Sloane
| 2025-01-05T19:51:31
|
oeisdata/seq/A000/A000322.seq
|
644dd970c375f1e5d26b3111011125ea
|
A000323
|
Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)).
|
[
"5",
"9",
"21",
"37",
"69",
"69",
"89",
"137",
"177",
"421",
"481",
"657",
"749",
"885",
"1085",
"1305",
"1353",
"1489",
"1861",
"2617",
"2693",
"3125",
"5249",
"5761",
"7129",
"8109",
"9465",
"9465",
"10717",
"12401",
"12401",
"16237",
"16237",
"24833",
"30725",
"35237",
"46701",
"47441",
"47441",
"61493",
"67797",
"67805",
"67805"
] |
[
"nonn"
] | 22
| 1
| 1
|
[
"A000036",
"A000092",
"A000099",
"A000223",
"A000323",
"A000413"
] |
[
"M3787",
"N1543"
] |
N. J. A. Sloane
| 2022-02-01T00:53:22
|
oeisdata/seq/A000/A000323.seq
|
717b82e796749b99331f5bf036b1c861
|
A000324
|
A nonlinear recurrence: a(0) = 1, a(1) = 5, a(n) = a(n-1)^2 - 4*a(n-1) + 4 for n>1.
|
[
"1",
"5",
"9",
"49",
"2209",
"4870849",
"23725150497409",
"562882766124611619513723649",
"316837008400094222150776738483768236006420971486980609"
] |
[
"nonn",
"easy"
] | 67
| 0
| 2
|
[
"A000032",
"A000058",
"A000215",
"A000289",
"A000324",
"A001566"
] |
[
"M3789",
"N1544"
] |
N. J. A. Sloane
| 2025-01-09T08:02:19
|
oeisdata/seq/A000/A000324.seq
|
7710720892a6bc9acf733e2996b3b835
|
A000325
|
a(n) = 2^n - n.
|
[
"1",
"1",
"2",
"5",
"12",
"27",
"58",
"121",
"248",
"503",
"1014",
"2037",
"4084",
"8179",
"16370",
"32753",
"65520",
"131055",
"262126",
"524269",
"1048556",
"2097131",
"4194282",
"8388585",
"16777192",
"33554407",
"67108838",
"134217701",
"268435428",
"536870883",
"1073741794",
"2147483617"
] |
[
"nonn",
"easy"
] | 218
| 0
| 3
|
[
"A000108",
"A000325",
"A001610",
"A002064",
"A005803",
"A006127",
"A008518",
"A047257",
"A048744",
"A066982",
"A081296",
"A133116",
"A160692",
"A184049",
"A184050",
"A186947",
"A299174",
"A323950",
"A323951",
"A349767"
] | null |
Rosario Salamone (Rosario.Salamone(AT)risc.uni-linz.ac.at)
| 2025-02-16T08:32:20
|
oeisdata/seq/A000/A000325.seq
|
fdb6cf0a74ea5e08f4760511ecac2cf0
|
A000326
|
Pentagonal numbers: a(n) = n*(3*n-1)/2.
|
[
"0",
"1",
"5",
"12",
"22",
"35",
"51",
"70",
"92",
"117",
"145",
"176",
"210",
"247",
"287",
"330",
"376",
"425",
"477",
"532",
"590",
"651",
"715",
"782",
"852",
"925",
"1001",
"1080",
"1162",
"1247",
"1335",
"1426",
"1520",
"1617",
"1717",
"1820",
"1926",
"2035",
"2147",
"2262",
"2380",
"2501",
"2625",
"2752",
"2882",
"3015",
"3151"
] |
[
"core",
"nonn",
"easy",
"nice"
] | 514
| 0
| 3
|
[
"A000326",
"A001318",
"A002411",
"A004736",
"A005449",
"A010815",
"A016777",
"A022288",
"A033568",
"A033570",
"A033579",
"A034856",
"A045943",
"A049452",
"A049453",
"A051340",
"A059845",
"A115067",
"A140090",
"A140091",
"A140672",
"A140673",
"A140674",
"A140675",
"A151542",
"A220083",
"A240137"
] |
[
"M3818",
"N1562"
] |
N. J. A. Sloane
| 2025-06-27T15:34:44
|
oeisdata/seq/A000/A000326.seq
|
3352c4271e6d82057af02d9f59052fa6
|
A000327
|
Number of partitions into non-integral powers.
|
[
"1",
"5",
"12",
"23",
"39",
"62",
"91",
"127",
"171",
"228",
"294",
"370",
"461",
"561",
"677",
"811",
"955",
"1121",
"1303",
"1499",
"1719",
"1960",
"2218",
"2499",
"2806",
"3131",
"3485",
"3868",
"4274",
"4706",
"5166",
"5658",
"6175",
"6725",
"7309",
"7923",
"8572",
"9256",
"9972",
"10728",
"11521",
"12349",
"13218",
"14126",
"15072"
] |
[
"nonn"
] | 32
| 3
| 2
|
[
"A000148",
"A000158",
"A000160",
"A000327"
] |
[
"M3819",
"N1563"
] |
N. J. A. Sloane
| 2022-07-01T22:18:09
|
oeisdata/seq/A000/A000327.seq
|
72d35479ab42a60aa397082896118a07
|
A000328
|
Number of points of norm <= n^2 in square lattice.
|
[
"1",
"5",
"13",
"29",
"49",
"81",
"113",
"149",
"197",
"253",
"317",
"377",
"441",
"529",
"613",
"709",
"797",
"901",
"1009",
"1129",
"1257",
"1373",
"1517",
"1653",
"1793",
"1961",
"2121",
"2289",
"2453",
"2629",
"2821",
"3001",
"3209",
"3409",
"3625",
"3853",
"4053",
"4293",
"4513",
"4777",
"5025",
"5261",
"5525",
"5789",
"6077",
"6361",
"6625"
] |
[
"nonn",
"easy",
"nice"
] | 96
| 0
| 2
|
[
"A000328",
"A000603",
"A046109",
"A051132",
"A057655",
"A093832",
"A093836",
"A093837",
"A255238",
"A302997",
"A305575",
"A305576"
] |
[
"M3829",
"N1570"
] |
N. J. A. Sloane
| 2025-05-15T08:23:43
|
oeisdata/seq/A000/A000328.seq
|
75c0f15e1e7420fda74181e73fb31aad
|
A000329
|
Nearest integer to b(n), where b(n) = tan(b(n-1)), b(0) = 1.
|
[
"1",
"2",
"75",
"-1",
"-1",
"-2",
"1",
"2",
"31",
"-1",
"-2",
"29",
"1",
"5",
"-6",
"1",
"1",
"3",
"-1",
"-1",
"-1",
"-1",
"-1",
"-9",
"1",
"1",
"1",
"2",
"-2",
"-35",
"0",
"0",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-2",
"1",
"1",
"1",
"5",
"-1",
"-2",
"4",
"1",
"2",
"-4",
"0",
"0",
"0",
"-1",
"-1",
"-1",
"-1",
"-1",
"-1",
"-2",
"1",
"3",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"-1"
] |
[
"sign"
] | 21
| 0
| 2
|
[
"A000319",
"A000329"
] | null |
N. J. A. Sloane
| 2024-11-24T10:15:55
|
oeisdata/seq/A000/A000329.seq
|
f4bc5a6b9ed61c58ff5e0df3e6fbd31c
|
A000330
|
Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.
|
[
"0",
"1",
"5",
"14",
"30",
"55",
"91",
"140",
"204",
"285",
"385",
"506",
"650",
"819",
"1015",
"1240",
"1496",
"1785",
"2109",
"2470",
"2870",
"3311",
"3795",
"4324",
"4900",
"5525",
"6201",
"6930",
"7714",
"8555",
"9455",
"10416",
"11440",
"12529",
"13685",
"14910",
"16206",
"17575",
"19019",
"20540",
"22140",
"23821",
"25585",
"27434",
"29370"
] |
[
"nonn",
"easy",
"core",
"nice"
] | 648
| 0
| 3
|
[
"A000217",
"A000290",
"A000292",
"A000330",
"A000537",
"A005408",
"A005900",
"A006003",
"A006331",
"A008955",
"A033994",
"A033999",
"A034705",
"A046092",
"A050409",
"A050446",
"A050447",
"A060493",
"A082652",
"A084930",
"A094414",
"A100157",
"A103438",
"A132112",
"A132124",
"A156921",
"A157702",
"A237616",
"A253903",
"A254142",
"A258708",
"A351105",
"A351830"
] |
[
"M3844",
"N1574"
] |
N. J. A. Sloane
| 2025-04-03T02:34:54
|
oeisdata/seq/A000/A000330.seq
|
d9c42ea441201980950831138bf49e93
|
A000331
|
Related to zeros of Bessel function.
|
[
"5",
"14",
"1026",
"4324",
"311387",
"6425694",
"579783114",
"4028104212",
"7315072725560",
"61358264615344",
"9569450876916944",
"1632353370882506848",
"1365475358484643531856",
"15211641461623992544160",
"74766806258361827981250240",
"936580261005146914634459520",
"6083678228249789825160175706880",
"1936651082361926268672618636234240",
"688115696843061332335070140230720000",
"10517068622936239459488783307672335360",
"2913914903970372007778735454555848514846720"
] |
[
"nonn"
] | 36
| 4
| 1
|
[
"A000331",
"A158616"
] |
[
"M3848",
"N1575"
] |
N. J. A. Sloane
| 2024-11-01T21:27:07
|
oeisdata/seq/A000/A000331.seq
|
2eb1e652acef157fb97cc383eb217f3c
|
A000332
|
Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.
|
[
"0",
"0",
"0",
"0",
"1",
"5",
"15",
"35",
"70",
"126",
"210",
"330",
"495",
"715",
"1001",
"1365",
"1820",
"2380",
"3060",
"3876",
"4845",
"5985",
"7315",
"8855",
"10626",
"12650",
"14950",
"17550",
"20475",
"23751",
"27405",
"31465",
"35960",
"40920",
"46376",
"52360",
"58905",
"66045",
"73815",
"82251",
"91390",
"101270",
"111930",
"123410"
] |
[
"nonn",
"easy",
"nice",
"changed"
] | 460
| 0
| 6
|
[
"A000217",
"A000292",
"A000332",
"A000389",
"A000579",
"A000580",
"A000581",
"A000582",
"A000583",
"A006003",
"A006008",
"A006322",
"A006325",
"A007318",
"A014820",
"A025036",
"A053126",
"A053134",
"A075733",
"A092181",
"A092182",
"A092183",
"A099174",
"A104712",
"A158824",
"A161680",
"A269747",
"A325000"
] |
[
"M3853",
"N1578"
] |
N. J. A. Sloane
| 2025-07-09T07:40:17
|
oeisdata/seq/A000/A000332.seq
|
ac23a20f32888a0d48a021fdb66fae17
|
A000333
|
Number of partitions into non-integral powers.
|
[
"1",
"5",
"15",
"40",
"98",
"237",
"534",
"1185",
"2554",
"5391",
"11117",
"22556",
"44858",
"88000",
"170107",
"324547",
"611755",
"1140382",
"2103554",
"3842826",
"6955918",
"12483075",
"22220002",
"39248230",
"68819781",
"119839422",
"207304370",
"356356801",
"608901907",
"1034452712",
"1747764522",
"2937370605",
"4911675955",
"8173032301"
] |
[
"nonn"
] | 20
| 1
| 2
| null |
[
"M3856",
"N1579"
] |
N. J. A. Sloane
| 2022-02-03T22:42:15
|
oeisdata/seq/A000/A000333.seq
|
b96098dd7e2346e7c5ca7b146d04479b
|
A000334
|
Number of 4-dimensional partitions of n.
|
[
"1",
"5",
"15",
"45",
"120",
"326",
"835",
"2145",
"5345",
"13220",
"32068",
"76965",
"181975",
"425490",
"982615",
"2245444",
"5077090",
"11371250",
"25235790",
"55536870",
"121250185",
"262769080",
"565502405",
"1209096875",
"2569270050",
"5427963902",
"11404408525",
"23836421895",
"49573316740",
"102610460240"
] |
[
"nonn",
"nice"
] | 52
| 1
| 2
|
[
"A000219",
"A000293",
"A000334",
"A000390",
"A002974",
"A007714",
"A050340",
"A096751"
] |
[
"M3858",
"N1580"
] |
N. J. A. Sloane
| 2019-01-25T09:29:05
|
oeisdata/seq/A000/A000334.seq
|
a106695dde5bf4826c7186b4e9f6b80e
|
A000335
|
Euler transform of A000292.
|
[
"1",
"5",
"15",
"45",
"120",
"331",
"855",
"2214",
"5545",
"13741",
"33362",
"80091",
"189339",
"442799",
"1023192",
"2340904",
"5302061",
"11902618",
"26488454",
"58479965",
"128120214",
"278680698",
"602009786",
"1292027222",
"2755684669",
"5842618668",
"12317175320",
"25825429276",
"53865355154",
"111786084504",
"230867856903",
"474585792077",
"971209629993"
] |
[
"nonn",
"nice"
] | 53
| 1
| 2
|
[
"A000041",
"A000219",
"A000294",
"A000335",
"A000391",
"A000417",
"A000428",
"A255965"
] |
[
"M3859",
"N1581"
] |
N. J. A. Sloane
| 2022-11-18T08:55:44
|
oeisdata/seq/A000/A000335.seq
|
92401df14ff86d62c78f3817cdd2a69c
|
A000336
|
a(n) = a(n-1)*a(n-2)*a(n-3)*a(n-4); for n < 5, a(n) = n.
|
[
"1",
"2",
"3",
"4",
"24",
"576",
"165888",
"9172942848",
"21035720123168587776",
"18437563379178327736384102280592359424",
"590180110002114158896983994712576414865667267958188575935810179040280576"
] |
[
"nonn"
] | 30
| 1
| 2
|
[
"A000301",
"A000308",
"A000336",
"A001631",
"A003586",
"A251656"
] | null |
N. J. A. Sloane
| 2019-01-21T13:02:08
|
oeisdata/seq/A000/A000336.seq
|
d3f8d2c107bedb67004e9f322aa05c45
|
A000337
|
a(n) = (n-1)*2^n + 1.
|
[
"0",
"1",
"5",
"17",
"49",
"129",
"321",
"769",
"1793",
"4097",
"9217",
"20481",
"45057",
"98305",
"212993",
"458753",
"983041",
"2097153",
"4456449",
"9437185",
"19922945",
"41943041",
"88080385",
"184549377",
"385875969",
"805306369",
"1677721601",
"3489660929",
"7247757313",
"15032385537",
"31138512897",
"64424509441"
] |
[
"nonn",
"easy",
"nice"
] | 244
| 0
| 3
|
[
"A000079",
"A000295",
"A000337",
"A001787",
"A003338",
"A008292",
"A014915",
"A023758",
"A036799",
"A048472",
"A066185",
"A077436",
"A209359",
"A336725"
] |
[
"M3874",
"N1587"
] |
N. J. A. Sloane
| 2025-02-16T08:32:20
|
oeisdata/seq/A000/A000337.seq
|
55762238870d6c4e356c3ff332e10f04
|
A000338
|
Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.
|
[
"5",
"18",
"42",
"75",
"117",
"168",
"228",
"297",
"375",
"462",
"558",
"663",
"777",
"900",
"1032",
"1173",
"1323",
"1482",
"1650",
"1827",
"2013",
"2208",
"2412",
"2625",
"2847",
"3078",
"3318",
"3567",
"3825",
"4092",
"4368",
"4653",
"4947",
"5250",
"5562",
"5883",
"6213",
"6552",
"6900",
"7257",
"7623",
"7998",
"8382",
"8775",
"9177",
"9588",
"10008",
"10437",
"10875",
"11322",
"11778"
] |
[
"nonn",
"easy"
] | 50
| 3
| 1
| null |
[
"M3877",
"N1589"
] |
N. J. A. Sloane
| 2024-04-22T07:16:34
|
oeisdata/seq/A000/A000338.seq
|
a0f3faee6f3df7aa45bd187e4f6b0ca8
|
A000339
|
Number of partitions into non-integral powers.
|
[
"1",
"5",
"18",
"45",
"100",
"185",
"323",
"522",
"804",
"1180",
"1687",
"2322",
"3139",
"4146",
"5377",
"6859",
"8645",
"10733",
"13203",
"16058",
"19356",
"23132",
"27460",
"32330",
"37846",
"44031",
"50954",
"58637",
"67203",
"76613",
"87021",
"98443",
"110951",
"124616",
"139526",
"155681",
"173246",
"192243"
] |
[
"nonn"
] | 26
| 2
| 2
| null |
[
"M3879",
"N1590"
] |
N. J. A. Sloane
| 2023-04-10T12:50:31
|
oeisdata/seq/A000/A000339.seq
|
e60c9e52edab636f3cfbc50ae10e8359
|
A000340
|
a(0)=1, a(n) = 3*a(n-1) + n + 1.
|
[
"1",
"5",
"18",
"58",
"179",
"543",
"1636",
"4916",
"14757",
"44281",
"132854",
"398574",
"1195735",
"3587219",
"10761672",
"32285032",
"96855113",
"290565357",
"871696090",
"2615088290",
"7845264891",
"23535794695",
"70607384108",
"211822152348",
"635466457069"
] |
[
"nonn",
"easy"
] | 90
| 0
| 2
|
[
"A000340",
"A003462",
"A008971",
"A014915",
"A106516",
"A142963",
"A156919",
"A156920",
"A156921",
"A156922",
"A156923",
"A156924",
"A156925",
"A156927",
"A156933"
] |
[
"M3882",
"N1592"
] |
N. J. A. Sloane, Simon Plouffe
| 2025-01-23T12:41:12
|
oeisdata/seq/A000/A000340.seq
|
bac5c2aa9a8e6bfaa589a5d6de4ba0fd
|
A000341
|
Number of ways to pair up {1..2n} so sum of each pair is prime.
|
[
"1",
"2",
"3",
"6",
"26",
"96",
"210",
"1106",
"3759",
"12577",
"74072",
"423884",
"2333828",
"16736611",
"99838851",
"630091746",
"4525325020",
"38848875650",
"342245714017",
"3335164762941",
"31315463942337",
"241353231085002",
"2350106537365732",
"17903852593938447",
"158065352670318614",
"1815064841856534244",
"20577063085601738871",
"276081763499377227299"
] |
[
"nonn",
"nice"
] | 44
| 1
| 2
|
[
"A000341",
"A005326",
"A009692"
] | null |
S. J. Greenfield (greenfie(AT)math.rutgers.edu)
| 2023-09-22T05:15:14
|
oeisdata/seq/A000/A000341.seq
|
4aa7944777d0b621dd9d448fbabd79b0
|
A000342
|
Number of n-node rooted trees of height 5.
|
[
"0",
"0",
"0",
"0",
"0",
"1",
"5",
"19",
"61",
"180",
"498",
"1323",
"3405",
"8557",
"21103",
"51248",
"122898",
"291579",
"685562",
"1599209",
"3705122",
"8532309",
"19543867",
"44552066",
"101124867",
"228640542",
"515125815",
"1156829459",
"2590247002",
"5784031485",
"12883390590",
"28629914457"
] |
[
"nonn"
] | 38
| 1
| 7
|
[
"A000342",
"A034781"
] |
[
"M3884",
"N1594"
] |
N. J. A. Sloane
| 2022-06-01T14:44:37
|
oeisdata/seq/A000/A000342.seq
|
a7f1bdb8b2cb30c75937d1932bc97252
|
A000343
|
5th power of rooted tree enumerator; number of linear forests of 5 rooted trees.
|
[
"1",
"5",
"20",
"70",
"230",
"721",
"2200",
"6575",
"19385",
"56575",
"163952",
"472645",
"1357550",
"3888820",
"11119325",
"31753269",
"90603650",
"258401245",
"736796675",
"2100818555",
"5990757124",
"17087376630",
"48753542665",
"139155765455",
"397356692275",
"1135163887190",
"3244482184720",
"9277856948255"
] |
[
"nonn"
] | 33
| 5
| 2
|
[
"A000081",
"A000106",
"A000242",
"A000300",
"A000343",
"A000395",
"A339067"
] |
[
"M3901",
"N1601"
] |
N. J. A. Sloane
| 2021-01-03T04:31:08
|
oeisdata/seq/A000/A000343.seq
|
cc352c9075973a4b73042a5afbd2daca
|
A000344
|
a(n) = 5*binomial(2n, n-2)/(n+3).
|
[
"1",
"5",
"20",
"75",
"275",
"1001",
"3640",
"13260",
"48450",
"177650",
"653752",
"2414425",
"8947575",
"33266625",
"124062000",
"463991880",
"1739969550",
"6541168950",
"24647883000",
"93078189750",
"352207870014",
"1335293573130",
"5071418015120",
"19293438101000",
"73514652074500",
"280531912316292"
] |
[
"nonn",
"easy"
] | 164
| 2
| 2
|
[
"A000108",
"A000245",
"A000344",
"A000588",
"A001392",
"A001622",
"A002057",
"A003517",
"A003518",
"A003519",
"A009766",
"A030237",
"A033184",
"A047072",
"A059365",
"A099039",
"A106566",
"A130020"
] |
[
"M3904",
"N1602"
] |
N. J. A. Sloane
| 2025-05-04T04:27:46
|
oeisdata/seq/A000/A000344.seq
|
89e43748f1fad49b0f8cb24ee7bdfb49
|
A000345
|
Number of partitions into non-integral powers.
|
[
"1",
"5",
"22",
"71",
"186",
"427",
"888",
"1704",
"3053",
"5203",
"8476",
"13318",
"20265",
"29946",
"43254",
"61171",
"84832",
"115713",
"155382",
"205779",
"269065",
"347906",
"445001",
"563685",
"707637",
"881042",
"1088339",
"1335019",
"1626233",
"1968701",
"2369320",
"2835467",
"3375820",
"3999234",
"4715586",
"5535965",
"6472005",
"7536195",
"8742102",
"10105163",
"11640190",
"13365254",
"15298155",
"17458190",
"19866739",
"22546131",
"25519743",
"28813410",
"32453730",
"36469433",
"40890672",
"45749944",
"51081147",
"56919908",
"63304577",
"70275008",
"77873381",
"86145156",
"95134772",
"104893757",
"115473250",
"126926418",
"139311512",
"152687434",
"167115830",
"182663928",
"199398527",
"217392226",
"236717247",
"257454630",
"279683011",
"303488723",
"328959602",
"356186407"
] |
[
"nonn"
] | 18
| 3
| 2
| null |
[
"M3918",
"N1610"
] |
N. J. A. Sloane
| 2017-08-06T21:47:50
|
oeisdata/seq/A000/A000345.seq
|
488972b148230f3a1f437083c27814d3
|
A000346
|
a(n) = 2^(2*n+1) - binomial(2*n+1, n+1).
|
[
"1",
"5",
"22",
"93",
"386",
"1586",
"6476",
"26333",
"106762",
"431910",
"1744436",
"7036530",
"28354132",
"114159428",
"459312152",
"1846943453",
"7423131482",
"29822170718",
"119766321572",
"480832549478",
"1929894318332",
"7744043540348",
"31067656725032",
"124613686513778",
"499744650202436"
] |
[
"nonn",
"easy"
] | 155
| 0
| 2
|
[
"A000070",
"A000108",
"A000302",
"A000346",
"A001700",
"A001791",
"A007008",
"A007318",
"A008549",
"A011782",
"A014137",
"A014318",
"A025047",
"A027306",
"A032443",
"A033504",
"A038806",
"A045621",
"A053754",
"A053979",
"A055217",
"A058622",
"A058893",
"A068551",
"A069731",
"A086543",
"A088218",
"A097805",
"A103919",
"A114121",
"A120452",
"A163493",
"A182616",
"A239830",
"A294175",
"A344611",
"A344612",
"A345197",
"A345921"
] |
[
"M3920",
"N1611"
] |
N. J. A. Sloane, Wolfdieter Lang
| 2023-11-29T11:43:12
|
oeisdata/seq/A000/A000346.seq
|
51986c8358a836675f49ea15b9e4883e
|
A000347
|
Number of partitions into non-integral powers.
|
[
"1",
"5",
"24",
"84",
"251",
"653",
"1543",
"3341",
"6763",
"12879",
"23446",
"40883",
"68757",
"111976",
"177358",
"273926",
"413784",
"612430",
"889959",
"1271709",
"1789841",
"2483779",
"3402623",
"4605954",
"6166614",
"8171174",
"10724604",
"13950011",
"17994136",
"23029141",
"29255902",
"36908235",
"46257694",
"57616522",
"71344257",
"87853381",
"107612397"
] |
[
"nonn"
] | 22
| 4
| 2
| null |
[
"M3929",
"N1616"
] |
N. J. A. Sloane
| 2024-07-30T02:18:11
|
oeisdata/seq/A000/A000347.seq
|
a7b7563920f7eba4035c3a0793323536
|
A000348
|
Number of ways to pair up {1^2, 2^2, ..., (2n)^2 } so sum of each pair is prime.
|
[
"1",
"1",
"2",
"4",
"12",
"9",
"72",
"160",
"428",
"2434",
"3011",
"10337",
"126962",
"264182",
"783550",
"5004266",
"34340141",
"176302123",
"1188146567",
"4457147441",
"7845512385",
"132253267889",
"1004345333251",
"3865703506342",
"40719018858150",
"213982561376958",
"1266218151414286",
"10976172953868304",
"59767467676582641",
"512279001476451101",
"6189067229056357433"
] |
[
"nonn",
"nice"
] | 33
| 1
| 3
|
[
"A000341",
"A000348"
] | null |
S. J. Greenfield (greenfie(AT)math.rutgers.edu)
| 2016-12-18T22:45:15
|
oeisdata/seq/A000/A000348.seq
|
c0ac83d1c0b412cfab6218d37ac686ef
|
A000349
|
One-half the number of permutations of length n with exactly 2 rising or falling successions.
|
[
"0",
"0",
"0",
"1",
"5",
"24",
"128",
"835",
"6423",
"56410",
"554306",
"6016077",
"71426225",
"920484892",
"12793635300",
"190730117959",
"3035659077083",
"51371100102990",
"920989078354838",
"17437084517068465",
"347647092476801301",
"7280060180210901232",
"159755491837445900120",
"3665942433747225901707"
] |
[
"nonn"
] | 23
| 0
| 5
|
[
"A000130",
"A000349",
"A002464",
"A010028",
"A086852",
"A086853"
] |
[
"M3932",
"N1617"
] |
N. J. A. Sloane
| 2021-12-19T09:29:55
|
oeisdata/seq/A000/A000349.seq
|
238dbe636e485abaaeaa8c55f1677297
|
A000350
|
Numbers m such that Fibonacci(m) ends with m.
|
[
"0",
"1",
"5",
"25",
"29",
"41",
"49",
"61",
"65",
"85",
"89",
"101",
"125",
"145",
"149",
"245",
"265",
"365",
"385",
"485",
"505",
"601",
"605",
"625",
"649",
"701",
"725",
"745",
"749",
"845",
"865",
"965",
"985",
"1105",
"1205",
"1249",
"1345",
"1445",
"1585",
"1685",
"1825",
"1925",
"2065",
"2165",
"2305",
"2405",
"2501",
"2545",
"2645",
"2785",
"2885"
] |
[
"nonn",
"base",
"easy",
"nice"
] | 68
| 1
| 3
|
[
"A000045",
"A000350",
"A023172",
"A038546",
"A050816",
"A052000"
] |
[
"M3935",
"N1619"
] |
N. J. A. Sloane
| 2025-01-05T19:51:31
|
oeisdata/seq/A000/A000350.seq
|
bcb59e744af2643a447fe047b185fa2b
|
A000351
|
Powers of 5: a(n) = 5^n.
|
[
"1",
"5",
"25",
"125",
"625",
"3125",
"15625",
"78125",
"390625",
"1953125",
"9765625",
"48828125",
"244140625",
"1220703125",
"6103515625",
"30517578125",
"152587890625",
"762939453125",
"3814697265625",
"19073486328125",
"95367431640625",
"476837158203125",
"2384185791015625",
"11920928955078125"
] |
[
"easy",
"nonn",
"nice"
] | 180
| 0
| 2
|
[
"A000351",
"A001021",
"A001076",
"A003463",
"A005054",
"A006495",
"A006496",
"A008776",
"A009969",
"A013620",
"A013710",
"A014261",
"A020858",
"A038220",
"A067497",
"A085449",
"A159991",
"A279511"
] |
[
"M3937",
"N1620"
] |
N. J. A. Sloane
| 2025-03-14T20:01:58
|
oeisdata/seq/A000/A000351.seq
|
3aeb5d7bba38c25b4667af472869137e
|
A000352
|
One half of the number of permutations of [n] such that the differences have three runs with the same signs.
|
[
"5",
"29",
"118",
"418",
"1383",
"4407",
"13736",
"42236",
"128761",
"390385",
"1179354",
"3554454",
"10696139",
"32153963",
"96592972",
"290041072",
"870647517",
"2612991141",
"7841070590",
"23527406090",
"70590606895",
"211788597919",
"635399348208",
"1906265153508",
"5718929678273",
"17157057470297"
] |
[
"nonn"
] | 65
| 4
| 1
|
[
"A000352",
"A000486",
"A000506",
"A008970"
] |
[
"M3954",
"N1629"
] |
N. J. A. Sloane
| 2023-02-08T16:40:07
|
oeisdata/seq/A000/A000352.seq
|
afc963aa982492e75a7f5105f0561a2d
|
A000353
|
Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.
|
[
"7",
"23",
"47",
"59",
"167",
"179",
"263",
"383",
"503",
"863",
"887",
"983",
"1019",
"1367",
"1487",
"1619",
"1823",
"2063",
"2099",
"2207",
"2447",
"2459",
"2579",
"2819",
"2903",
"3023",
"3167",
"3623",
"3779",
"3863",
"4007",
"4127",
"4139",
"4259",
"4703",
"5087",
"5099",
"5807",
"5927",
"5939",
"6047",
"6659",
"6779",
"6899",
"6983",
"7247"
] |
[
"nonn"
] | 36
| 1
| 1
|
[
"A000353",
"A001913",
"A005385",
"A006883"
] | null |
Robert A. J. Matthews
| 2024-01-20T03:53:00
|
oeisdata/seq/A000/A000353.seq
|
552ca3eda7a5934a7cb2831951a25574
|
A000354
|
Expansion of e.g.f. exp(-x)/(1-2*x).
|
[
"1",
"1",
"5",
"29",
"233",
"2329",
"27949",
"391285",
"6260561",
"112690097",
"2253801941",
"49583642701",
"1190007424825",
"30940193045449",
"866325405272573",
"25989762158177189",
"831672389061670049",
"28276861228096781665",
"1017967004211484139941",
"38682746160036397317757"
] |
[
"nonn",
"easy",
"nice"
] | 157
| 0
| 3
|
[
"A000166",
"A000354",
"A008290",
"A061714",
"A113012",
"A263895",
"A320032"
] |
[
"M3957",
"N1631"
] |
N. J. A. Sloane
| 2024-08-29T02:10:16
|
oeisdata/seq/A000/A000354.seq
|
4930579692629f911c53708b0ee47407
|
A000355
|
Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.
|
[
"3",
"11",
"23",
"29",
"83",
"89",
"131",
"191",
"251",
"431",
"443",
"491",
"509",
"683",
"743",
"809",
"911",
"1031",
"1049",
"1103",
"1223",
"1229",
"1289",
"1409",
"1451",
"1511",
"1583",
"1811",
"1889",
"1931",
"2003",
"2063",
"2069",
"2129",
"2351",
"2543",
"2549",
"2903",
"2963",
"2969",
"3023",
"3329",
"3389",
"3449",
"3491",
"3623",
"3803"
] |
[
"nonn",
"easy"
] | 30
| 1
| 1
|
[
"A000353",
"A000355",
"A005384"
] | null |
Robert A. J. Matthews
| 2023-10-31T15:58:06
|
oeisdata/seq/A000/A000355.seq
|
9cbe8ae105ee8910fe53180dccaef8a6
|
A000356
|
Number of rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle: (2n)!(2n+1)! / (n!^2*(n+1)!(n+2)!).
|
[
"1",
"5",
"35",
"294",
"2772",
"28314",
"306735",
"3476330",
"40831076",
"493684828",
"6114096716",
"77266057400",
"993420738000",
"12964140630900",
"171393565105575",
"2291968851019650",
"30961684478686500",
"422056646314726500"
] |
[
"easy",
"nonn",
"nice"
] | 68
| 1
| 2
|
[
"A000264",
"A000309",
"A000356",
"A000891",
"A001700",
"A005568",
"A056220",
"A073165",
"A102539"
] |
[
"M3978",
"N1647"
] |
N. J. A. Sloane, Simon Plouffe
| 2023-02-24T02:05:46
|
oeisdata/seq/A000/A000356.seq
|
56b2b63bb9a2c2b17caee17c57823505
|
A000357
|
Number of 5-level labeled rooted trees with n leaves.
|
[
"1",
"1",
"5",
"35",
"315",
"3455",
"44590",
"660665",
"11035095",
"204904830",
"4183174520",
"93055783320",
"2238954627848",
"57903797748386",
"1601122732128779",
"47120734323344439",
"1470076408565099152",
"48449426629560437576",
"1681560512531504058350",
"61293054886119796799892"
] |
[
"nonn",
"easy"
] | 52
| 0
| 3
|
[
"A000110",
"A000258",
"A000307",
"A000357",
"A000405",
"A001669",
"A039813",
"A144150"
] |
[
"M3979",
"N1648"
] |
N. J. A. Sloane
| 2022-02-01T00:54:13
|
oeisdata/seq/A000/A000357.seq
|
11bef809c94a6e1ef8d30f9fcb745d4a
|
A000358
|
Number of binary necklaces of length n with no subsequence 00, excluding the necklace "0".
|
[
"1",
"2",
"2",
"3",
"3",
"5",
"5",
"8",
"10",
"15",
"19",
"31",
"41",
"64",
"94",
"143",
"211",
"329",
"493",
"766",
"1170",
"1811",
"2787",
"4341",
"6713",
"10462",
"16274",
"25415",
"39651",
"62075",
"97109",
"152288",
"238838",
"375167",
"589527",
"927555",
"1459961",
"2300348",
"3626242",
"5721045",
"9030451",
"14264309",
"22542397",
"35646312",
"56393862",
"89264835",
"141358275"
] |
[
"nonn",
"easy"
] | 143
| 1
| 2
|
[
"A000358",
"A006206",
"A032190",
"A093305",
"A280218",
"A320341"
] | null |
Frank Ruskey
| 2025-01-05T19:51:31
|
oeisdata/seq/A000/A000358.seq
|
e50f48085cf5606425ba27044f49e881
|
A000359
|
Coefficients of iterated exponentials.
|
[
"1",
"5",
"40",
"440",
"6170",
"105315",
"2120610",
"49242470",
"1296133195",
"38152216495",
"1242274374380",
"44345089721923",
"1722416374173854",
"72330102999829054",
"3265871028909088036",
"157797437377747327987",
"8124524883679977475839",
"444098724261935142753430"
] |
[
"nonn"
] | 38
| 1
| 2
|
[
"A000268",
"A000310",
"A000359",
"A000406",
"A001765",
"A003713",
"A039817"
] |
[
"M3991",
"N1654"
] |
N. J. A. Sloane
| 2022-02-11T12:42:57
|
oeisdata/seq/A000/A000359.seq
|
e34fd83c1346dab87c9ed8d0dad4995d
|
A000360
|
Distribution of nonempty triangles inside a fractal rep-4-tile.
|
[
"1",
"0",
"1",
"1",
"1",
"1",
"2",
"0",
"2",
"2",
"2",
"1",
"3",
"1",
"2",
"1",
"2",
"2",
"4",
"1",
"4",
"3",
"3",
"1",
"4",
"2",
"4",
"2",
"3",
"2",
"3",
"0",
"3",
"3",
"4",
"2",
"6",
"3",
"5",
"2",
"5",
"4",
"7",
"2",
"6",
"4",
"4",
"1",
"5",
"3",
"6",
"3",
"6",
"4",
"6",
"1",
"5",
"4",
"5",
"2",
"5",
"2",
"3",
"1",
"3",
"3",
"6",
"2",
"7",
"5",
"6",
"2",
"8",
"5",
"9",
"4",
"8",
"5",
"7",
"1",
"7",
"6",
"9",
"4",
"11",
"6",
"9",
"3",
"8",
"6",
"10",
"3",
"8",
"5",
"5",
"1",
"6",
"4",
"8",
"4",
"9",
"6",
"9",
"2"
] |
[
"nonn",
"nice",
"easy",
"eigen",
"look"
] | 129
| 0
| 7
|
[
"A000360",
"A000361",
"A000876",
"A001222",
"A002487",
"A057078",
"A125184",
"A284553",
"A284556",
"A284565",
"A287729",
"A287730"
] | null |
M. Jeremie Lafitte (Levitas)
| 2020-03-13T08:36:15
|
oeisdata/seq/A000/A000360.seq
|
2658e203ecce3b1a51446e48f30e696d
|
A000361
|
From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.
|
[
"1",
"0",
"2",
"1",
"1",
"2",
"5",
"0",
"10",
"6",
"3",
"2",
"19",
"2",
"10",
"1",
"5",
"10",
"89",
"1",
"170",
"28",
"7",
"2",
"71",
"12",
"170",
"5",
"25",
"10",
"21",
"0",
"42",
"26",
"51",
"10",
"1251",
"38",
"682",
"6",
"301",
"170",
"5833",
"3",
"2730",
"120",
"15",
"2",
"271",
"56"
] |
[
"nonn",
"eigen",
"nice",
"more"
] | 23
| 0
| 3
|
[
"A000360",
"A000361",
"A000876"
] | null |
M. Jeremie Lafitte (Levitas)
| 2017-04-20T12:09:14
|
oeisdata/seq/A000/A000361.seq
|
7dbe2ecd9c52fb6b0c977d559ec61fe1
|
A000362
|
Generalized class numbers c_(n,2).
|
[
"5",
"57",
"352",
"1280",
"3522",
"7970",
"15872",
"29184",
"49410",
"79042",
"122400",
"180224",
"257314",
"362340",
"492032",
"655360",
"867588",
"1117314",
"1420320",
"1803264",
"2237380",
"2745154",
"3380736",
"4080640",
"4881250",
"5874150",
"6928416",
"8126464",
"9600870",
"11133604"
] |
[
"nonn",
"easy"
] | 36
| 1
| 1
|
[
"A000233",
"A000362",
"A000508"
] |
[
"M4016",
"N1664"
] |
N. J. A. Sloane
| 2024-10-05T16:29:46
|
oeisdata/seq/A000/A000362.seq
|
96cb85cef45f2bc00e9b60a47262dd5b
|
A000363
|
Number of permutations of [n] with exactly 2 increasing runs of length at least 2.
|
[
"5",
"61",
"479",
"3111",
"18270",
"101166",
"540242",
"2819266",
"14494859",
"73802835",
"373398489",
"1881341265",
"9453340172",
"47417364268",
"237571096820",
"1189405165908",
"5951965440609",
"29775517732665",
"148927275340835",
"744793282001995"
] |
[
"nonn",
"easy"
] | 33
| 4
| 1
|
[
"A000363",
"A008971",
"A160486"
] |
[
"M4018",
"N1666"
] |
N. J. A. Sloane
| 2024-11-09T17:01:01
|
oeisdata/seq/A000/A000363.seq
|
ce83338503e29f51a8c0a72862ac7b41
|
A000364
|
Euler (or secant or "Zig") numbers: e.g.f. (even powers only) sec(x) = 1/cos(x).
|
[
"1",
"1",
"5",
"61",
"1385",
"50521",
"2702765",
"199360981",
"19391512145",
"2404879675441",
"370371188237525",
"69348874393137901",
"15514534163557086905",
"4087072509293123892361",
"1252259641403629865468285",
"441543893249023104553682821",
"177519391579539289436664789665"
] |
[
"nonn",
"easy",
"nice",
"core"
] | 523
| 0
| 3
|
[
"A000007",
"A000111",
"A000182",
"A000281",
"A000364",
"A000464",
"A000816",
"A002105",
"A002436",
"A002438",
"A002439",
"A011248",
"A013525",
"A019669",
"A028296",
"A034947",
"A060058",
"A060074",
"A060075",
"A076552",
"A079144",
"A122045",
"A125053",
"A158690",
"A160485",
"A210108",
"A210657",
"A255881",
"A272158",
"A273031",
"A317139"
] |
[
"M4019",
"N1667"
] |
N. J. A. Sloane
| 2025-03-10T11:13:00
|
oeisdata/seq/A000/A000364.seq
|
20968821e98b61bc36f7bd902a715805
|
A000365
|
Number of genus 0 rooted planar maps with 4 faces and n vertices.
|
[
"5",
"93",
"1030",
"8885",
"65954",
"442610",
"2762412",
"16322085",
"92400330",
"505403910",
"2687477780",
"13957496098",
"71053094420",
"355548314180",
"1752827693528",
"8529176056965",
"41026491589722",
"195327793313790",
"921451498774660",
"4311086414580022",
"20019238138410940"
] |
[
"nonn"
] | 33
| 3
| 1
|
[
"A000365",
"A269920",
"A270408"
] |
[
"M4022",
"N1669"
] |
N. J. A. Sloane
| 2021-03-27T23:02:35
|
oeisdata/seq/A000/A000365.seq
|
7b806889b3ae64f0ad8ba0a1fe078b65
|
A000366
|
Genocchi numbers of second kind (A005439) divided by 2^(n-1).
|
[
"1",
"1",
"2",
"7",
"38",
"295",
"3098",
"42271",
"726734",
"15366679",
"391888514",
"11860602415",
"420258768950",
"17233254330343",
"809698074358250",
"43212125903877439",
"2599512037272630686",
"175079893678534943287",
"13122303354155987156306",
"1088559958829010054171343",
"99456043127935948731527942"
] |
[
"nonn",
"easy",
"nice"
] | 119
| 1
| 3
|
[
"A000366",
"A001469",
"A005439",
"A014784",
"A130168",
"A130169",
"A239894"
] | null |
Don Knuth, N. J. A. Sloane
| 2025-04-27T12:31:33
|
oeisdata/seq/A000/A000366.seq
|
c6b56254f138b88f99417e290546694f
|
A000367
|
Numerators of Bernoulli numbers B_2n.
|
[
"1",
"1",
"-1",
"1",
"-1",
"5",
"-691",
"7",
"-3617",
"43867",
"-174611",
"854513",
"-236364091",
"8553103",
"-23749461029",
"8615841276005",
"-7709321041217",
"2577687858367",
"-26315271553053477373",
"2929993913841559",
"-261082718496449122051"
] |
[
"sign",
"frac",
"nice"
] | 196
| 0
| 6
|
[
"A000367",
"A002445",
"A002882",
"A003245",
"A027641",
"A027642",
"A127187",
"A127188"
] |
[
"M4039",
"N1677"
] |
N. J. A. Sloane
| 2025-07-02T09:53:39
|
oeisdata/seq/A000/A000367.seq
|
dc22f27d1cbdd42f17edb349939d9f23
|
A000368
|
Number of connected graphs with one cycle of length 4.
|
[
"1",
"1",
"4",
"9",
"28",
"71",
"202",
"542",
"1507",
"4114",
"11381",
"31349",
"86845",
"240567",
"668553",
"1860361",
"5188767",
"14495502",
"40572216",
"113743293",
"319405695",
"898288484",
"2530058013",
"7135848125",
"20152898513",
"56986883801"
] |
[
"nonn"
] | 79
| 4
| 3
|
[
"A000081",
"A000226",
"A000368",
"A001429",
"A005703",
"A058879",
"A217781"
] |
[
"M3365",
"N1356"
] |
N. J. A. Sloane
| 2024-07-28T16:49:54
|
oeisdata/seq/A000/A000368.seq
|
ada3f802f5e92c662ab6d557f47e57f2
|
A000369
|
Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.
|
[
"1",
"3",
"1",
"21",
"9",
"1",
"231",
"111",
"18",
"1",
"3465",
"1785",
"345",
"30",
"1",
"65835",
"35595",
"7650",
"825",
"45",
"1",
"1514205",
"848925",
"196245",
"24150",
"1680",
"63",
"1",
"40883535",
"23586255",
"5755050",
"775845",
"62790",
"3066",
"84",
"1",
"1267389585",
"748471185",
"190482705",
"27478710"
] |
[
"easy",
"nonn",
"tabl"
] | 71
| 1
| 2
|
[
"A000369",
"A004747",
"A008545",
"A016036",
"A132163"
] | null |
Wolfdieter Lang
| 2024-12-26T23:03:23
|
oeisdata/seq/A000/A000369.seq
|
277664c3abf9f1b88bb29e77257d3624
|
A000370
|
Number of NPN-equivalence classes of Boolean functions of n or fewer variables.
|
[
"1",
"2",
"4",
"14",
"222",
"616126",
"200253952527184",
"263735716028826576482466871188128",
"5609038300883759793482640992086670939164957990135057216103303119630336"
] |
[
"nonn",
"nice"
] | 74
| 0
| 2
| null |
[
"M1287",
"N0494"
] |
N. J. A. Sloane
| 2025-01-12T09:17:29
|
oeisdata/seq/A000/A000370.seq
|
4892b9242718b39d15b4d0d78e707ee6
|
A000371
|
a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n,k)*2^(2^k).
|
[
"2",
"2",
"10",
"218",
"64594",
"4294642034",
"18446744047940725978",
"340282366920938463334247399005993378250",
"115792089237316195423570985008687907850547725730273056332267095982282337798562"
] |
[
"nonn",
"easy",
"nice"
] | 159
| 0
| 1
|
[
"A000110",
"A000371",
"A001146",
"A002110",
"A003465",
"A055154",
"A076078",
"A163353",
"A186021",
"A381683"
] |
[
"M0385",
"N0145"
] |
N. J. A. Sloane
| 2025-04-10T02:46:53
|
oeisdata/seq/A000/A000371.seq
|
e40688ae5c1e47b98d8bcbf3f3f12591
|
A000372
|
Dedekind numbers or Dedekind's problem: number of monotone Boolean functions of n variables, number of antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families.
|
[
"2",
"3",
"6",
"20",
"168",
"7581",
"7828354",
"2414682040998",
"56130437228687557907788",
"286386577668298411128469151667598498812366"
] |
[
"nonn",
"hard",
"more",
"nice"
] | 336
| 0
| 1
|
[
"A000372",
"A003182",
"A006126",
"A006602",
"A007153",
"A014466",
"A059119",
"A261005",
"A293606",
"A293993",
"A304996",
"A305000",
"A305844",
"A306505",
"A317674",
"A319721",
"A320449",
"A321679"
] |
[
"M0817",
"N0309"
] |
N. J. A. Sloane
| 2025-05-16T18:34:09
|
oeisdata/seq/A000/A000372.seq
|
02cbdc6a476f46969bbea4de8f60308a
|
A000373
|
Conjectured dimension of a module associated with the free commutative Moufang loop with n generators.
|
[
"0",
"0",
"1",
"8",
"44",
"214",
"1000",
"4592",
"20888",
"94846",
"434973",
"2042836",
"9979086",
"51460622",
"283839957",
"1688139424",
"10859199656",
"75338888918",
"560740210491",
"4445766353604",
"37329808482989",
"330143634313064",
"3064464030121369"
] |
[
"nonn"
] | 32
| 1
| 4
|
[
"A000373",
"A152123"
] | null |
N. J. A. Sloane
| 2024-09-23T10:21:31
|
oeisdata/seq/A000/A000373.seq
|
fafbb981c78a1e9f456874e279e36203
|
A000374
|
Number of cycles (mod n) under doubling map.
|
[
"1",
"1",
"2",
"1",
"2",
"2",
"3",
"1",
"3",
"2",
"2",
"2",
"2",
"3",
"5",
"1",
"3",
"3",
"2",
"2",
"6",
"2",
"3",
"2",
"3",
"2",
"4",
"3",
"2",
"5",
"7",
"1",
"5",
"3",
"6",
"3",
"2",
"2",
"5",
"2",
"3",
"6",
"4",
"2",
"8",
"3",
"3",
"2",
"5",
"3",
"8",
"2",
"2",
"4",
"5",
"3",
"5",
"2",
"2",
"5",
"2",
"7",
"13",
"1",
"7",
"5",
"2",
"3",
"6",
"6",
"3",
"3",
"9",
"2",
"8",
"2",
"6",
"5",
"3",
"2",
"5",
"3",
"2",
"6",
"12",
"4",
"5",
"2",
"9",
"8",
"10",
"3",
"14",
"3",
"5",
"2",
"3",
"5",
"8",
"3"
] |
[
"nonn"
] | 46
| 1
| 3
|
[
"A000005",
"A000374",
"A023135",
"A023142",
"A037226",
"A081844"
] | null |
Shel Kaphan
| 2025-04-25T03:06:11
|
oeisdata/seq/A000/A000374.seq
|
80bc47d18b0709606e2a0dce7d6a0f17
|
A000375
|
Topswops (1): start by shuffling n cards labeled 1..n. If top card is m, reverse order of top m cards, then repeat. a(n) is the maximal number of steps before top card is 1.
|
[
"0",
"1",
"2",
"4",
"7",
"10",
"16",
"22",
"30",
"38",
"51",
"65",
"80",
"101",
"113",
"139",
"159",
"191",
"221"
] |
[
"nonn",
"hard",
"nice",
"more",
"changed"
] | 89
| 1
| 3
|
[
"A000375",
"A000376",
"A123398"
] | null |
Bill Blewett and Mike Toepke [mtoepke(AT)microsoft.com]
| 2025-07-06T22:28:36
|
oeisdata/seq/A000/A000375.seq
|
ae27f5751b4e7dce092ebbcd8a25afe1
|
A000376
|
Topswops (2): start by shuffling n cards labeled 1..n. If the top card is m, reverse the order of the top m cards. Repeat until 1 gets to the top, then stop. Suppose the whole deck is now sorted (if not, discard this case). a(n) is the maximal number of steps before 1 got to the top.
|
[
"0",
"1",
"2",
"4",
"7",
"10",
"16",
"22",
"30",
"38",
"51",
"63",
"80",
"101",
"112",
"130",
"159",
"191",
"207",
"231"
] |
[
"nonn",
"hard",
"nice",
"more"
] | 57
| 1
| 3
|
[
"A000375",
"A000376",
"A174498"
] | null |
Bill Blewett, Mike Toepke [ mtoepke(AT)microsoft.com ]
| 2024-06-19T12:43:08
|
oeisdata/seq/A000/A000376.seq
|
bb9be48383eb2fdcc5af179a564536f4
|
A000377
|
Expansion of f(-q^3) * f(-q^8) * chi(-q^12) / chi(-q) in powers of q where chi(), f() are Ramanujan theta functions.
|
[
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"2",
"2",
"1",
"0",
"2",
"2",
"1",
"0",
"1",
"0",
"2",
"2",
"2",
"0",
"1",
"3",
"0",
"1",
"2",
"2",
"2",
"2",
"1",
"2",
"0",
"4",
"1",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"2",
"2",
"0",
"0",
"1",
"3",
"3",
"0",
"0",
"2",
"1",
"4",
"2",
"0",
"2",
"2",
"2",
"0",
"2",
"2",
"1",
"0",
"2",
"0",
"0",
"0",
"4",
"0",
"1",
"2",
"0",
"3",
"0",
"4",
"0",
"2",
"2",
"1",
"0",
"2",
"2",
"0",
"0",
"2",
"2",
"0",
"2",
"0",
"0",
"2",
"0",
"0",
"1",
"2",
"3",
"2",
"3",
"2"
] |
[
"nonn",
"easy",
"nice",
"mult"
] | 64
| 0
| 6
|
[
"A000377",
"A129402",
"A190611"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:21
|
oeisdata/seq/A000/A000377.seq
|
b955c75ee5fe9065ef06cea35fd507ee
|
A000378
|
Sums of three squares: numbers of the form x^2 + y^2 + z^2.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"24",
"25",
"26",
"27",
"29",
"30",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"56",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"66",
"67",
"68",
"69",
"70",
"72",
"73",
"74",
"75",
"76",
"77",
"78",
"80",
"81",
"82",
"83"
] |
[
"nonn"
] | 124
| 1
| 3
|
[
"A000164",
"A000290",
"A000378",
"A000404",
"A000408",
"A000415",
"A000419",
"A001481",
"A002828",
"A004215",
"A005875",
"A034043",
"A034044",
"A034045",
"A034046",
"A034047",
"A047449",
"A065883",
"A071374",
"A072400",
"A072401",
"A125084"
] | null |
N. J. A. Sloane
| 2025-02-16T08:32:21
|
oeisdata/seq/A000/A000378.seq
|
9f29a2801a9e5c41b36025b43cb16a1d
|
A000379
|
Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.
|
[
"1",
"6",
"8",
"10",
"12",
"14",
"15",
"18",
"20",
"21",
"22",
"26",
"27",
"28",
"32",
"33",
"34",
"35",
"36",
"38",
"39",
"44",
"45",
"46",
"48",
"50",
"51",
"52",
"55",
"57",
"58",
"62",
"63",
"64",
"65",
"68",
"69",
"74",
"75",
"76",
"77",
"80",
"82",
"85",
"86",
"87",
"91",
"92",
"93",
"94",
"95",
"98",
"99",
"100",
"106",
"111",
"112",
"115",
"116",
"117",
"118",
"119",
"120",
"122",
"123",
"124",
"125",
"129"
] |
[
"nonn",
"easy",
"nice"
] | 75
| 1
| 2
|
[
"A000028",
"A000069",
"A000120",
"A000201",
"A000379",
"A001950",
"A001969",
"A010060",
"A030229",
"A030231",
"A037445",
"A050376",
"A059897",
"A064179",
"A064547",
"A092248",
"A123240",
"A124010",
"A131181",
"A133008",
"A238748",
"A262675",
"A268386",
"A268387",
"A268388",
"A268390",
"A367514"
] |
[
"M4065",
"N1685"
] |
N. J. A. Sloane
| 2025-02-16T08:32:21
|
oeisdata/seq/A000/A000379.seq
|
44689508618b88b031a4c934516f18e5
|
A000380
|
Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-3 places.
|
[
"6",
"8",
"40",
"176",
"1421",
"10352",
"93114",
"912920",
"9929997",
"117970704",
"1521176826",
"21150414880",
"315400444070",
"5020920314016",
"84979755347122",
"1523710321272384",
"28851091193764023",
"575253584489378040",
"12047084261153160394",
"264377395040950523112",
"6066972656940255290199"
] |
[
"nonn"
] | 24
| 3
| 1
|
[
"A000380",
"A000388",
"A000440",
"A000470",
"A000476",
"A000492",
"A000500"
] |
[
"M4071",
"N1686"
] |
N. J. A. Sloane
| 2015-06-28T10:30:05
|
oeisdata/seq/A000/A000380.seq
|
58ec2f6d66e4bb50ff7a1c300f8e00d6
|
A000381
|
Essentially the same as A001611.
|
[
"2",
"3",
"4",
"6",
"9",
"14",
"22",
"35",
"56",
"90",
"145",
"234",
"378",
"611",
"988",
"1598",
"2585",
"4182",
"6766"
] |
[
"dead"
] | 34
| 0
| 1
|
[
"A000381",
"A001611"
] |
[
"M0574",
"N0208"
] |
N. J. A. Sloane, Apr 17 2015
| 2023-08-06T01:12:01
|
oeisdata/seq/A000/A000381.seq
|
cb5c5290a5ce67d40079c8b8a5650e4f
|
A000382
|
Restricted permutations.
|
[
"6",
"11",
"20",
"36",
"65",
"119",
"218",
"400",
"735",
"1351",
"2484",
"4568",
"8401",
"15451",
"28418",
"52268",
"96135",
"176819",
"325220",
"598172",
"1100209",
"2023599",
"3721978",
"6845784",
"12591359",
"23159119",
"42596260",
"78346736",
"144102113",
"265045107",
"487493954"
] |
[
"nonn",
"easy"
] | 41
| 4
| 1
|
[
"A000382",
"A000496",
"A008305",
"A020992"
] |
[
"M4087",
"N1696"
] |
N. J. A. Sloane
| 2022-04-13T13:25:14
|
oeisdata/seq/A000/A000382.seq
|
05296e9f9226da033ac454ca7f81a6fe
|
A000383
|
Hexanacci numbers with a(0) = ... = a(5) = 1.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"11",
"21",
"41",
"81",
"161",
"321",
"636",
"1261",
"2501",
"4961",
"9841",
"19521",
"38721",
"76806",
"152351",
"302201",
"599441",
"1189041",
"2358561",
"4678401",
"9279996",
"18407641",
"36513081",
"72426721",
"143664401",
"284970241",
"565262081",
"1121244166",
"2224080691",
"4411648301"
] |
[
"nonn",
"easy"
] | 66
| 0
| 7
|
[
"A000383",
"A001592",
"A060455",
"A247192",
"A249413"
] |
[
"M4088",
"N1697"
] |
N. J. A. Sloane
| 2025-01-05T19:51:31
|
oeisdata/seq/A000/A000383.seq
|
b55396177bfda75f0ea5c706e87ecd9a
|
A000384
|
Hexagonal numbers: a(n) = n*(2*n-1).
|
[
"0",
"1",
"6",
"15",
"28",
"45",
"66",
"91",
"120",
"153",
"190",
"231",
"276",
"325",
"378",
"435",
"496",
"561",
"630",
"703",
"780",
"861",
"946",
"1035",
"1128",
"1225",
"1326",
"1431",
"1540",
"1653",
"1770",
"1891",
"2016",
"2145",
"2278",
"2415",
"2556",
"2701",
"2850",
"3003",
"3160",
"3321",
"3486",
"3655",
"3828",
"4005",
"4186",
"4371",
"4560"
] |
[
"nonn",
"easy",
"nice"
] | 485
| 0
| 3
|
[
"A000217",
"A000384",
"A001844",
"A002939",
"A005408",
"A014105",
"A027907",
"A046092",
"A093561",
"A100345",
"A127672",
"A280851"
] |
[
"M4108",
"N1705"
] |
N. J. A. Sloane
| 2025-07-03T10:05:26
|
oeisdata/seq/A000/A000384.seq
|
51e96b9bed5a40e1f1f809d8e7182ea8
|
A000385
|
Convolution of A000203 with itself.
|
[
"1",
"6",
"17",
"38",
"70",
"116",
"185",
"258",
"384",
"490",
"686",
"826",
"1124",
"1292",
"1705",
"1896",
"2491",
"2670",
"3416",
"3680",
"4602",
"4796",
"6110",
"6178",
"7700",
"7980",
"9684",
"9730",
"12156",
"11920",
"14601",
"14752",
"17514",
"17224",
"21395",
"20406",
"24590",
"24556",
"28920",
"27860",
"34112",
"32186",
"38674",
"37994",
"43980",
"42136",
"51646",
"47772",
"56749",
"55500",
"64316",
"60606",
"73420",
"67956",
"80500",
"77760",
"88860",
"83810",
"102284",
"92690",
"108752",
"105236",
"120777",
"112672",
"135120",
"123046",
"145194",
"138656",
"157512",
"146580",
"177515",
"159396",
"185744",
"179122"
] |
[
"nonn",
"easy",
"look"
] | 71
| 1
| 2
|
[
"A000203",
"A000385",
"A001158",
"A024916",
"A319083",
"A340793"
] |
[
"M4113",
"N1708"
] |
N. J. A. Sloane
| 2025-01-04T06:19:53
|
oeisdata/seq/A000/A000385.seq
|
d27f25c5bcf374ab0d0d7ac74925d99b
|
A000386
|
Coefficients of ménage hit polynomials.
|
[
"0",
"0",
"0",
"1",
"6",
"20",
"134",
"915",
"7324",
"65784",
"657180",
"7223637",
"86637650",
"1125842556",
"15757002706",
"236298742375",
"3780061394232",
"64251145312880",
"1156374220457784",
"21968796934412649",
"439337048505773790",
"9225384943965382564",
"202945418255342821470"
] |
[
"nonn"
] | 21
| 0
| 5
|
[
"A000386",
"A058057"
] |
[
"M4137",
"N1715"
] |
N. J. A. Sloane
| 2022-02-01T00:55:27
|
oeisdata/seq/A000/A000386.seq
|
4726c196f5635c62f401f33fd5993a16
|
A000387
|
Rencontres numbers: number of permutations of [n] with exactly two fixed points.
|
[
"0",
"0",
"1",
"0",
"6",
"20",
"135",
"924",
"7420",
"66744",
"667485",
"7342280",
"88107426",
"1145396460",
"16035550531",
"240533257860",
"3848532125880",
"65425046139824",
"1177650830516985",
"22375365779822544",
"447507315596451070",
"9397653627525472260",
"206748379805560389951"
] |
[
"nonn",
"easy"
] | 109
| 0
| 5
|
[
"A000387",
"A003221",
"A008290",
"A008291",
"A170942"
] |
[
"M4138",
"N1716"
] |
N. J. A. Sloane
| 2023-07-06T06:57:01
|
oeisdata/seq/A000/A000387.seq
|
cbbd5de21c29e2f7d14df9a20435c0de
|
A000388
|
Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-2 places.
|
[
"6",
"20",
"180",
"1106",
"9292",
"82980",
"831545",
"9139482",
"109595496",
"1423490744",
"19911182207",
"298408841160",
"4770598226296",
"81037124739588",
"1457607971046492",
"27675791180024802",
"553166885187641670",
"11609691036091870428",
"255273744004170486155",
"5868308906885934514178"
] |
[
"nonn"
] | 28
| 4
| 1
|
[
"A000380",
"A000388",
"A000440",
"A000470",
"A000476",
"A000492",
"A000500"
] |
[
"M4139",
"N1717"
] |
N. J. A. Sloane
| 2015-06-28T10:29:39
|
oeisdata/seq/A000/A000388.seq
|
db741cda3c525d1e10b55b20007e187c
|
A000389
|
Binomial coefficients C(n,5).
|
[
"0",
"0",
"0",
"0",
"0",
"1",
"6",
"21",
"56",
"126",
"252",
"462",
"792",
"1287",
"2002",
"3003",
"4368",
"6188",
"8568",
"11628",
"15504",
"20349",
"26334",
"33649",
"42504",
"53130",
"65780",
"80730",
"98280",
"118755",
"142506",
"169911",
"201376",
"237336",
"278256",
"324632",
"376992",
"435897",
"501942",
"575757",
"658008",
"749398"
] |
[
"nonn",
"easy",
"nice",
"changed"
] | 259
| 0
| 7
|
[
"A000217",
"A000292",
"A000332",
"A000389",
"A000579",
"A000580",
"A000581",
"A000582",
"A001477",
"A002299",
"A005583",
"A049310",
"A051747",
"A052787",
"A053127",
"A063843",
"A067764",
"A099242",
"A104712",
"A110555",
"A128767",
"A132366",
"A234249",
"A242023",
"A277935",
"A331352",
"A337895",
"A337954",
"A337957",
"A338949",
"A338950",
"A338965",
"A338966"
] |
[
"M4142",
"N1719"
] |
N. J. A. Sloane
| 2025-07-09T07:39:52
|
oeisdata/seq/A000/A000389.seq
|
f74179c0a13e55d1087265084648f581
|
A000390
|
Number of 5-dimensional partitions of n.
|
[
"1",
"6",
"21",
"71",
"216",
"657",
"1907",
"5507",
"15522",
"43352",
"119140",
"323946",
"869476",
"2308071",
"6056581",
"15724170",
"40393693",
"102736274",
"258790004",
"645968054",
"1598460229",
"3923114261",
"9554122089",
"23098084695",
"55458417125",
"132293945737",
"313657570114"
] |
[
"nonn"
] | 50
| 1
| 2
|
[
"A000012",
"A000041",
"A000219",
"A000293",
"A000334",
"A000390",
"A000416",
"A096751"
] |
[
"M4143",
"N1720"
] |
N. J. A. Sloane
| 2020-12-25T12:48:10
|
oeisdata/seq/A000/A000390.seq
|
26960e57e0540377d61700efd53d0f6d
|
A000391
|
Euler transform of A000332.
|
[
"1",
"6",
"21",
"71",
"216",
"672",
"1982",
"5817",
"16582",
"46633",
"128704",
"350665",
"941715",
"2499640",
"6557378",
"17024095",
"43756166",
"111433472",
"281303882",
"704320180",
"1749727370",
"4314842893",
"10565857064",
"25700414815",
"62115621317",
"149214574760",
"356354881511",
"846292135184"
] |
[
"nonn"
] | 42
| 1
| 2
|
[
"A000041",
"A000219",
"A000294",
"A000335",
"A000391",
"A000417",
"A000428",
"A255965"
] |
[
"M4144",
"N1721"
] |
N. J. A. Sloane
| 2023-11-28T14:27:44
|
oeisdata/seq/A000/A000391.seq
|
86cd178f1e7557768ecf395159058011
|
A000392
|
Stirling numbers of second kind S(n,3).
|
[
"0",
"0",
"0",
"1",
"6",
"25",
"90",
"301",
"966",
"3025",
"9330",
"28501",
"86526",
"261625",
"788970",
"2375101",
"7141686",
"21457825",
"64439010",
"193448101",
"580606446",
"1742343625",
"5228079450",
"15686335501",
"47063200806",
"141197991025",
"423610750290",
"1270865805301"
] |
[
"nonn",
"nice",
"easy"
] | 218
| 0
| 5
|
[
"A000225",
"A000392",
"A002275",
"A002452",
"A003462",
"A003463",
"A003464",
"A007051",
"A008277",
"A016123",
"A016125",
"A016256",
"A023000",
"A023001",
"A028243",
"A056509",
"A122554"
] |
[
"M4167",
"N1734"
] |
N. J. A. Sloane
| 2025-02-16T08:32:21
|
oeisdata/seq/A000/A000392.seq
|
efb3d2e75084e12a9d9e06838710e23a
|
A000393
|
Number of n-node rooted trees of height 6.
|
[
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"6",
"26",
"94",
"308",
"941",
"2744",
"7722",
"21166",
"56809",
"149971",
"390517",
"1005491",
"2564164",
"6485901",
"16289602",
"40659669",
"100934017",
"249343899",
"613286048",
"1502515487",
"3667953650",
"8925161513",
"21652815724",
"52387028291"
] |
[
"nonn"
] | 29
| 1
| 8
|
[
"A000393",
"A034781"
] |
[
"M4170",
"N1736"
] |
N. J. A. Sloane
| 2017-07-08T01:25:12
|
oeisdata/seq/A000/A000393.seq
|
5ce7b4ae44b46d19cceb4d2496f909c8
|
A000394
|
Numbers of form x^2 + y^2 + 7z^2.
|
[
"0",
"1",
"2",
"4",
"5",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"15",
"16",
"17",
"18",
"20",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"32",
"33",
"34",
"36",
"37",
"38",
"39",
"40",
"41",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"52",
"53",
"54",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"64",
"65",
"67",
"68",
"69",
"71",
"72"
] |
[
"nonn"
] | 16
| 0
| 3
|
[
"A000394",
"A097633"
] | null |
N. J. A. Sloane
| 2017-07-08T01:24:35
|
oeisdata/seq/A000/A000394.seq
|
d1114ad31507a2cbbab6d55a9750eec4
|
A000395
|
6th power of rooted tree enumerator; number of linear forests of 6 rooted trees.
|
[
"1",
"6",
"27",
"104",
"369",
"1236",
"3989",
"12522",
"38535",
"116808",
"350064",
"1039896",
"3068145",
"9004182",
"26314773",
"76652582",
"222705603",
"645731148",
"1869303857",
"5404655358",
"15611296146",
"45060069406",
"129989169909",
"374843799786",
"1080624405287"
] |
[
"nonn"
] | 37
| 6
| 2
|
[
"A000081",
"A000106",
"A000242",
"A000300",
"A000343",
"A000395",
"A339067"
] |
[
"M4175",
"N1739"
] |
N. J. A. Sloane
| 2021-01-03T04:31:33
|
oeisdata/seq/A000/A000395.seq
|
2819e8e7d13eee6776f53da70e629b60
|
A000396
|
Perfect numbers k: k is equal to the sum of the proper divisors of k.
|
[
"6",
"28",
"496",
"8128",
"33550336",
"8589869056",
"137438691328",
"2305843008139952128",
"2658455991569831744654692615953842176",
"191561942608236107294793378084303638130997321548169216"
] |
[
"nonn",
"nice",
"core",
"changed"
] | 502
| 1
| 1
|
[
"A000043",
"A000217",
"A000384",
"A000396",
"A000668",
"A001065",
"A005153",
"A005820",
"A005835",
"A006039",
"A006516",
"A007539",
"A007593",
"A007691",
"A019279",
"A023196",
"A027687",
"A028499",
"A028502",
"A033879",
"A033880",
"A034916",
"A043305",
"A046060",
"A046061",
"A061652",
"A063752",
"A065549",
"A065997",
"A083207",
"A090748",
"A109510",
"A118372",
"A133033",
"A144912",
"A152921",
"A153800",
"A156552",
"A174973",
"A216782",
"A220290",
"A228058",
"A246282",
"A263837",
"A275496",
"A294900",
"A324201",
"A333646",
"A334410",
"A335267",
"A336547",
"A336702",
"A338520",
"A341622",
"A342922",
"A344755",
"A352739",
"A357462"
] |
[
"M4186",
"N1744"
] |
N. J. A. Sloane
| 2025-07-17T14:11:51
|
oeisdata/seq/A000/A000396.seq
|
9ef849245056fd84474c26d0a7485d93
|
A000397
|
Number of partitions into non-integral powers.
|
[
"6",
"32",
"109",
"288",
"654",
"1337",
"2506",
"4414",
"7379",
"11822",
"18273",
"27356",
"39938",
"56974",
"79607",
"109267",
"147523",
"196295",
"257715",
"334407",
"429086",
"545034",
"685917",
"855886",
"1059360",
"1301776",
"1588321",
"1925620",
"2320544",
"2780468",
"3314007",
"3930001",
"4638319",
"5449943",
"6376505",
"7430471",
"8625369",
"9976540",
"11498855",
"13210238",
"15128487",
"17272896",
"19664754",
"22326319",
"25280987",
"28554486",
"32173404",
"36166409",
"40563607",
"45397395",
"50701682",
"56512012",
"62866699",
"69805531",
"77370606",
"85607286",
"94560129",
"104280410",
"114819255",
"126229853",
"138570284",
"151899428",
"166278945",
"181775849",
"198456941",
"216394746",
"235661505",
"256338017",
"278503009",
"302242623",
"327644632",
"354799834",
"383805368",
"414759214",
"447764499",
"482931051"
] |
[
"nonn"
] | 27
| 5
| 1
| null |
[
"M4212",
"N1757"
] |
N. J. A. Sloane
| 2024-07-30T02:50:12
|
oeisdata/seq/A000/A000397.seq
|
f9d47ee02185195b67fae3e405c1bc3e
|
A000398
|
Numbers of form x^2 + 2y^2 + 2yz + 4z^2.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"36",
"37",
"38",
"39",
"40",
"41",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"64"
] |
[
"nonn",
"easy"
] | 21
| 1
| 3
|
[
"A000398",
"A097634"
] | null |
N. J. A. Sloane
| 2017-07-08T01:23:21
|
oeisdata/seq/A000/A000398.seq
|
f428eabc4a097d917fe20897d0e3e928
|
A000399
|
Unsigned Stirling numbers of first kind s(n,3).
|
[
"1",
"6",
"35",
"225",
"1624",
"13132",
"118124",
"1172700",
"12753576",
"150917976",
"1931559552",
"26596717056",
"392156797824",
"6165817614720",
"102992244837120",
"1821602444624640",
"34012249593822720",
"668609730341153280",
"13803759753640704000"
] |
[
"nonn",
"easy",
"nice"
] | 97
| 3
| 2
|
[
"A000254",
"A000399",
"A000454",
"A000482",
"A001233",
"A001234",
"A008275",
"A243569",
"A243570"
] |
[
"M4218",
"N1762"
] |
N. J. A. Sloane
| 2023-12-18T09:53:56
|
oeisdata/seq/A000/A000399.seq
|
c2dc5df4b17479afc295ef4efe00eb65
|
A000400
|
Powers of 6: a(n) = 6^n.
|
[
"1",
"6",
"36",
"216",
"1296",
"7776",
"46656",
"279936",
"1679616",
"10077696",
"60466176",
"362797056",
"2176782336",
"13060694016",
"78364164096",
"470184984576",
"2821109907456",
"16926659444736",
"101559956668416",
"609359740010496",
"3656158440062976",
"21936950640377856",
"131621703842267136"
] |
[
"easy",
"nonn"
] | 151
| 0
| 2
|
[
"A000005",
"A000290",
"A000400",
"A003992",
"A011577",
"A036561",
"A159991",
"A169604",
"A225816",
"A329332"
] |
[
"M4224",
"N1765"
] |
N. J. A. Sloane
| 2025-03-09T12:43:44
|
oeisdata/seq/A000/A000400.seq
|
7f2b15db3a157d70d37d56cdfdb07d0e
|
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