Sequence Database

A database with 951925 machine generated integer and decimal sequences.

Displaying result 0-99 of total 294226. [0] [1] [2] [3] [4] ... [2942]

Sequence 1r0kz5stvechb

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 28, 56, 70, 56, 28, 8, 1, 1, 9, 36, 84, 126, more...

integer, non-monotonic, +, A007318

a(n)=pt(n)
pt(n)=Pascals triangle by rows
n≥0
2 operations
Combinatoric
a(n)=pt(∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
pt(n)=Pascals triangle by rows
n≥0
4 operations
Prime

Sequence zu20zaw4iq45h

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, 231, 297, 385, 490, 627, 792, 1002, 1255, 1575, 1958, 2436, 3010, 3718, 4565, 5604, 6842, 8349, 10143, 12310, 14883, 17977, 21637, 26015, 31185, 37338, 44583, 53174, 63261, 75175, 89134, 105558, 124754, 147273, 173525, more...

integer, monotonic, +, A000041

a(n)=P(n)
P(n)=Partition numbers
n≥0
2 operations
Combinatoric
a(n)=P(∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
P(n)=Partition numbers
n≥0
4 operations
Prime

Sequence itkew3s5ydcwb

1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, more...

integer, monotonic, +, A000108

a(n)=catalan(n)
n≥0
2 operations
Combinatoric
a(n)=catalan(∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
n≥0
4 operations
Prime

Sequence co5f4i13hchai

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, monotonic, +, A000142

a(n)=n*a(n-1)
a(0)=1
n≥0
3 operations
Recursive
a(n)=n!
n≥0
2 operations
Combinatoric
a(n)=lcm(n, n*a(n-1))
a(0)=1
lcm(a,b)=least common multiple
n≥0
5 operations
Divisibility
a(n)=n^(2-1)*a(n-1)
a(0)=1
n≥0
7 operations
Power
a(n)=a(n-1)*∑(composite(a(n-1)))
a(0)=1
composite(n)=nth composite number
∑(a)=partial sums of a
n≥0
5 operations
Prime

Sequence 0aosbik4hyf0g

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 49, more...

integer, monotonic, +

a(n)=C(n, 48)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tstop3hgem4td

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 48, 1176, more...

integer, monotonic, +

a(n)=C(n, 47)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence n2xkzhgulf23f

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 47, 1128, 18424, more...

integer, monotonic, +

a(n)=C(n, 46)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence bljdhz2wbdmkj

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 46, 1081, 17296, 211876, more...

integer, monotonic, +

a(n)=C(n, 45)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence wqkeepgkmksff

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 45, 1035, 16215, 194580, 1906884, more...

integer, monotonic, +

a(n)=C(n, 44)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jahdk02ia5npk

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 44, 990, 15180, 178365, 1712304, 13983816, more...

integer, monotonic, +

a(n)=C(n, 43)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jtdyp4zoyyvwl

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 43, 946, 14190, 163185, 1533939, 12271512, 85900584, more...

integer, monotonic, +

a(n)=C(n, 42)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence vdtvzumfsrk3g

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 42, 903, 13244, 148995, 1370754, 10737573, 73629072, 450978066, more...

integer, monotonic, +

a(n)=C(n, 41)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence rf5pfc5nrvfih

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 41, 861, 12341, 135751, 1221759, 9366819, 62891499, 377348994, 2054455634, more...

integer, monotonic, +

a(n)=C(n, 40)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(n, ∏(ϕ(a(n-1))))
a(0)=5
ϕ(n)=number of relative primes (Euler's totient)
∏(a)=partial products of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence gaoy1hwjnpijf

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 40, 820, 11480, 123410, 1086008, 8145060, 53524680, 314457495, 1677106640, 8217822536, more...

integer, monotonic, +

a(n)=C(n, 39)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1u0arybw3qv4

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 39, 780, 10660, 111930, 962598, 7059052, 45379620, 260932815, 1362649145, 6540715896, 29135916264, more...

integer, monotonic, +

a(n)=C(n, 38)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence v45vcyttbcmei

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 38, 741, 9880, 101270, 850668, 6096454, 38320568, 215553195, 1101716330, 5178066751, 22595200368, 92263734836, more...

integer, monotonic, +

a(n)=C(n, 37)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence ut3u34311l3ep

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 37, 703, 9139, 91390, 749398, 5245786, 32224114, 177232627, 886163135, 4076350421, 17417133617, 69668534468, more...

integer, monotonic, +

a(n)=C(n, 36)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence bzyod3qkxzlo

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 36, 666, 8436, 82251, 658008, 4496388, 26978328, 145008513, 708930508, 3190187286, 13340783196, 52251400851, more...

integer, monotonic, +

a(n)=C(n, 35)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence m1lfaahvsit5l

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 35, 630, 7770, 73815, 575757, 3838380, 22481940, 118030185, 563921995, 2481256778, 10150595910, 38910617655, more...

integer, monotonic, +

a(n)=C(n, 34)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence duqwbe4szd3ik

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 34, 595, 7140, 66045, 501942, 3262623, 18643560, 95548245, 445891810, 1917334783, 7669339132, 28760021745, more...

integer, monotonic, +

a(n)=C(n, 33)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence nv35230vysbyf

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 33, 561, 6545, 58905, 435897, 2760681, 15380937, 76904685, 350343565, 1471442973, 5752004349, 21090682613, 73006209045, more...

integer, monotonic, +

a(n)=C(n, 32)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence fc3nkzzxktf1j

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 32, 528, 5984, 52360, 376992, 2324784, 12620256, 61523748, 273438880, 1121099408, 4280561376, 15338678264, 51915526432, more...

integer, monotonic, +

a(n)=C(n, 31)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence co1pzwapbkfke

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 31, 496, 5456, 46376, 324632, 1947792, 10295472, 48903492, 211915132, 847660528, 3159461968, 11058116888, 36576848168, more...

integer, monotonic, +

a(n)=C(n, 30)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence nlnds3ebxm20b

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 30, 465, 4960, 40920, 278256, 1623160, 8347680, 38608020, 163011640, 635745396, 2311801440, 7898654920, 25518731280, 78378960360, more...

integer, monotonic, +

a(n)=C(n, 29)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence vwooed4zt000h

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 29, 435, 4495, 35960, 237336, 1344904, 6724520, 30260340, 124403620, 472733756, 1676056044, 5586853480, 17620076360, 52860229080, more...

integer, monotonic, +

a(n)=C(n, 28)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 5ns5m54b4tohl

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 28, 406, 4060, 31465, 201376, 1107568, 5379616, 23535820, 94143280, 348330136, 1203322288, 3910797436, 12033222880, 35240152720, 98672427616, more...

integer, monotonic, +

a(n)=C(n, 27)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence yslf1kvl1glag

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 27, 378, 3654, 27405, 169911, 906192, 4272048, 18156204, 70607460, 254186856, 854992152, 2707475148, 8122425444, 23206929840, 63432274896, more...

integer, monotonic, +

a(n)=C(n, 26)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence gajel3u00mopb

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 26, 351, 3276, 23751, 142506, 736281, 3365856, 13884156, 52451256, 183579396, 600805296, 1852482996, 5414950296, 15084504396, 40225345056, more...

integer, monotonic, +

a(n)=C(n, 25)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence vv2tolql0jajb

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 325, 2925, 20475, 118755, 593775, 2629575, 10518300, 38567100, 131128140, 417225900, 1251677700, 3562467300, 9669554100, 25140840660, 62852101650, more...

integer, monotonic, +

a(n)=C(n, 24)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence mhi0eu3wfg1cd

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 24, 300, 2600, 17550, 98280, 475020, 2035800, 7888725, 28048800, 92561040, 286097760, 834451800, 2310789600, 6107086800, 15471286560, 37711260990, 88732378800, more...

integer, monotonic, +

a(n)=C(n, 23)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 5pktebbceih4i

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 276, 2300, 14950, 80730, 376740, 1560780, 5852925, 20160075, 64512240, 193536720, 548354040, 1476337800, 3796297200, 9364199760, 22239974430, 51021117810, more...

integer, monotonic, +

a(n)=C(n, 22)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence enjhann1aj13b

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 22, 253, 2024, 12650, 65780, 296010, 1184040, 4292145, 14307150, 44352165, 129024480, 354817320, 927983760, 2319959400, 5567902560, 12875774670, 28781143380, 62359143990, more...

integer, monotonic, +

a(n)=C(n, 21)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence u5yqnz3lwjnjg

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 231, 1771, 10626, 53130, 230230, 888030, 3108105, 10015005, 30045015, 84672315, 225792840, 573166440, 1391975640, 3247943160, 7307872110, 15905368710, 33578000610, 68923264410, more...

integer, monotonic, +

a(n)=C(n, 20)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence qdesa1ytbyecf

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 20, 210, 1540, 8855, 42504, 177100, 657800, 2220075, 6906900, 20030010, 54627300, 141120525, 347373600, 818809200, 1855967520, 4059928950, 8597496600, 17672631900, 35345263800, 68923264410, more...

integer, monotonic, +

a(n)=C(n, 19)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1uixlajnshbdd

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 190, 1330, 7315, 33649, 134596, 480700, 1562275, 4686825, 13123110, 34597290, 86493225, 206253075, 471435600, 1037158320, 2203961430, 4537567650, 9075135300, 17672631900, 33578000610, 62359143990, more...

integer, monotonic, +

a(n)=C(n, 18)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence uhqfnwhskzstc

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 171, 1140, 5985, 26334, 100947, 346104, 1081575, 3124550, 8436285, 21474180, 51895935, 119759850, 265182525, 565722720, 1166803110, 2333606220, 4537567650, 8597496600, 15905368710, 28781143380, 51021117810, 88732378800, more...

integer, monotonic, +

a(n)=C(n, 17)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence uz3jzv1uyy4pl

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 153, 969, 4845, 20349, 74613, 245157, 735471, 2042975, 5311735, 13037895, 30421755, 67863915, 145422675, 300540195, 601080390, 1166803110, 2203961430, 4059928950, 7307872110, 12875774670, 22239974430, 37711260990, 62852101650, more...

integer, monotonic, +

a(n)=C(n, 16)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 0bnaerlvzyxub

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 136, 816, 3876, 15504, 54264, 170544, 490314, 1307504, 3268760, 7726160, 17383860, 37442160, 77558760, 155117520, 300540195, 565722720, 1037158320, 1855967520, 3247943160, 5567902560, 9364199760, 15471286560, 25140840660, 40225345056, 63432274896, 98672427616, more...

integer, monotonic, +

a(n)=C(n, 15)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 2ik3kxgthim1n

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 120, 680, 3060, 11628, 38760, 116280, 319770, 817190, 1961256, 4457400, 9657700, 20058300, 40116600, 77558760, 145422675, 265182525, 471435600, 818809200, 1391975640, 2319959400, 3796297200, 6107086800, 9669554100, 15084504396, 23206929840, 35240152720, 52860229080, 78378960360, more...

integer, monotonic, +

a(n)=C(n, 14)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jdhgtklh0dt4d

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 105, 560, 2380, 8568, 27132, 77520, 203490, 497420, 1144066, 2496144, 5200300, 10400600, 20058300, 37442160, 67863915, 119759850, 206253075, 347373600, 573166440, 927983760, 1476337800, 2310789600, 3562467300, 5414950296, 8122425444, 12033222880, 17620076360, 25518731280, 36576848168, 51915526432, 73006209045, more...

integer, monotonic, +

a(n)=C(n, 13)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence g0tcxeae3tr5

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 91, 455, 1820, 6188, 18564, 50388, 125970, 293930, 646646, 1352078, 2704156, 5200300, 9657700, 17383860, 30421755, 51895935, 86493225, 141120525, 225792840, 354817320, 548354040, 834451800, 1251677700, 1852482996, 2707475148, 3910797436, 5586853480, 7898654920, 11058116888, 15338678264, 21090682613, 28760021745, 38910617655, 52251400851, 69668534468, 92263734836, more...

integer, monotonic, +

a(n)=C(n, 12)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence gx04sf3buxmjd

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960, 352716, 705432, 1352078, 2496144, 4457400, 7726160, 13037895, 21474180, 34597290, 54627300, 84672315, 129024480, 193536720, 286097760, 417225900, 600805296, 854992152, 1203322288, 1676056044, 2311801440, 3159461968, 4280561376, 5752004349, 7669339132, 10150595910, 13340783196, 17417133617, 22595200368, 29135916264, more...

integer, monotonic, +

a(n)=C(n, 11)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence khygpn5bbsr1b

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 66, 286, 1001, 3003, 8008, 19448, 43758, 92378, 184756, 352716, 646646, 1144066, 1961256, 3268760, 5311735, 8436285, 13123110, 20030010, 30045015, 44352165, 64512240, 92561040, 131128140, 183579396, 254186856, 348330136, 472733756, 635745396, 847660528, 1121099408, 1471442973, 1917334783, 2481256778, 3190187286, 4076350421, 5178066751, 6540715896, 8217822536, more...

integer, monotonic, +

a(n)=C(n, 10)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 10)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence pzmtzpymtew2i

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 55, 220, 715, 2002, 5005, 11440, 24310, 48620, 92378, 167960, 293930, 497420, 817190, 1307504, 2042975, 3124550, 4686825, 6906900, 10015005, 14307150, 20160075, 28048800, 38567100, 52451256, 70607460, 94143280, 124403620, 163011640, 211915132, 273438880, 350343565, 445891810, 563921995, 708930508, 886163135, 1101716330, 1362649145, 1677106640, 2054455634, more...

integer, monotonic, +

a(n)=C(n, 9)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 9)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence kxskadogmnege

1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310, 43758, 75582, 125970, 203490, 319770, 490314, 735471, 1081575, 1562275, 2220075, 3108105, 4292145, 5852925, 7888725, 10518300, 13884156, 18156204, 23535820, 30260340, 38608020, 48903492, 61523748, 76904685, 95548245, 118030185, 145008513, 177232627, 215553195, 260932815, 314457495, 377348994, 450978066, more...

integer, monotonic, +

a(n)=C(n, 8)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 8)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence 5tfek2hjmkvqn

1, 1, 1, 1, 1, 1, 1, 1, 8, 36, 120, 330, 792, 1716, 3432, 6435, 11440, 19448, 31824, 50388, 77520, 116280, 170544, 245157, 346104, 480700, 657800, 888030, 1184040, 1560780, 2035800, 2629575, 3365856, 4272048, 5379616, 6724520, 8347680, 10295472, 12620256, 15380937, 18643560, 22481940, 26978328, 32224114, 38320568, 45379620, 53524680, 62891499, 73629072, 85900584, more...

integer, monotonic, +

a(n)=C(n, 7)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 7)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence x5oej4paksgae

1, 1, 1, 1, 1, 1, 1, 7, 28, 84, 210, 462, 924, 1716, 3003, 5005, 8008, 12376, 18564, 27132, 38760, 54264, 74613, 100947, 134596, 177100, 230230, 296010, 376740, 475020, 593775, 736281, 906192, 1107568, 1344904, 1623160, 1947792, 2324784, 2760681, 3262623, 3838380, 4496388, 5245786, 6096454, 7059052, 8145060, 9366819, 10737573, 12271512, 13983816, more...

integer, monotonic, +

a(n)=C(n, 6)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 6)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence pywx1qsu4uw3i

1, 1, 1, 1, 1, 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, 850668, 962598, 1086008, 1221759, 1370754, 1533939, 1712304, 1906884, more...

integer, monotonic, +

a(n)=C(n, 5)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 5)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence kwqv2csicxqoh

1, 1, 1, 1, 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, 135751, 148995, 163185, 178365, 194580, 211876, more...

integer, monotonic, +

a(n)=C(n, 4)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 4)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence bqfrstgohg3sn

1, 1, 1, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300, 2600, 2925, 3276, 3654, 4060, 4495, 4960, 5456, 5984, 6545, 7140, 7770, 8436, 9139, 9880, 10660, 11480, 12341, 13244, 14190, 15180, 16215, 17296, 18424, more...

integer, monotonic, +

a(n)=C(n, 3)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(∑(agc(a(n-1))), 3)
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence pvphfpr5gadab

1, 1, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666, 703, 741, 780, 820, 861, 903, 946, 990, 1035, 1081, 1128, 1176, more...

integer, monotonic, +

a(n)=C(n, 2)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(n, p(Δ(n)))
Δ(a)=differences of a
p(n)=nth prime
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence abrixee32tdme

1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A285198

a(n)=C(9, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(9, ∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence jendd5ybuezgm

1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010926

a(n)=C(10, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(10, ∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence ao5oyz5gcef4o

1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010927

a(n)=C(11, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence pnvnuujh02r1d

1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010928

a(n)=C(12, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence cnsbgtg1gdb3o

1, 13, 78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010929

a(n)=C(13, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence kjq01ll4etmfp

1, 14, 91, 364, 1001, 2002, 3003, 3432, 3003, 2002, 1001, 364, 91, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010930

a(n)=C(14, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence kccquddto24dl

1, 15, 105, 455, 1365, 3003, 5005, 6435, 6435, 5005, 3003, 1365, 455, 105, 15, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010931

a(n)=C(15, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence cixj04d5piuye

1, 16, 120, 560, 1820, 4368, 8008, 11440, 12870, 11440, 8008, 4368, 1820, 560, 120, 16, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010932

a(n)=C(16, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence h4v0zvyfdqwak

1, 17, 136, 680, 2380, 6188, 12376, 19448, 24310, 24310, 19448, 12376, 6188, 2380, 680, 136, 17, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010933

a(n)=C(17, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence dxqne2u5kxyy

1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 48620, 43758, 31824, 18564, 8568, 3060, 816, 153, 18, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010934

a(n)=C(18, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence wgcf54sjej0kc

1, 19, 171, 969, 3876, 11628, 27132, 50388, 75582, 92378, 92378, 75582, 50388, 27132, 11628, 3876, 969, 171, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010935

a(n)=C(19, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 2kecybfz50gjl

1, 20, 190, 1140, 4845, 15504, 38760, 77520, 125970, 167960, 184756, 167960, 125970, 77520, 38760, 15504, 4845, 1140, 190, 20, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010936

a(n)=C(20, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jcoou1adbbjug

1, 21, 210, 1330, 5985, 20349, 54264, 116280, 203490, 293930, 352716, 352716, 293930, 203490, 116280, 54264, 20349, 5985, 1330, 210, 21, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010937

a(n)=C(21, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 2px2z2cqmnxbh

1, 22, 231, 1540, 7315, 26334, 74613, 170544, 319770, 497420, 646646, 705432, 646646, 497420, 319770, 170544, 74613, 26334, 7315, 1540, 231, 22, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010938

a(n)=C(22, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence pwhkrxgqh4a4e

1, 23, 253, 1771, 8855, 33649, 100947, 245157, 490314, 817190, 1144066, 1352078, 1352078, 1144066, 817190, 490314, 245157, 100947, 33649, 8855, 1771, 253, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010939

a(n)=C(23, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence cn42kfphabaqg

1, 24, 276, 2024, 10626, 42504, 134596, 346104, 735471, 1307504, 1961256, 2496144, 2704156, 2496144, 1961256, 1307504, 735471, 346104, 134596, 42504, 10626, 2024, 276, 24, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010940

a(n)=C(24, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence fquiaahm1egqg

1, 25, 300, 2300, 12650, 53130, 177100, 480700, 1081575, 2042975, 3268760, 4457400, 5200300, 5200300, 4457400, 3268760, 2042975, 1081575, 480700, 177100, 53130, 12650, 2300, 300, 25, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010941

a(n)=C(25, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tcymhohtndbyb

1, 26, 325, 2600, 14950, 65780, 230230, 657800, 1562275, 3124550, 5311735, 7726160, 9657700, 10400600, 9657700, 7726160, 5311735, 3124550, 1562275, 657800, 230230, 65780, 14950, 2600, 325, 26, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010942

a(n)=C(26, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence uov2cnl3oo5yi

1, 27, 351, 2925, 17550, 80730, 296010, 888030, 2220075, 4686825, 8436285, 13037895, 17383860, 20058300, 20058300, 17383860, 13037895, 8436285, 4686825, 2220075, 888030, 296010, 80730, 17550, 2925, 351, 27, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010943

a(n)=C(27, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence nhljgqlsdmffm

1, 28, 378, 3276, 20475, 98280, 376740, 1184040, 3108105, 6906900, 13123110, 21474180, 30421755, 37442160, 40116600, 37442160, 30421755, 21474180, 13123110, 6906900, 3108105, 1184040, 376740, 98280, 20475, 3276, 378, 28, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010944

a(n)=C(28, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence cd0aexateosf

1, 29, 406, 3654, 23751, 118755, 475020, 1560780, 4292145, 10015005, 20030010, 34597290, 51895935, 67863915, 77558760, 77558760, 67863915, 51895935, 34597290, 20030010, 10015005, 4292145, 1560780, 475020, 118755, 23751, 3654, 406, 29, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010945

a(n)=C(29, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence zxc53bfmnfkxp

1, 30, 435, 4060, 27405, 142506, 593775, 2035800, 5852925, 14307150, 30045015, 54627300, 86493225, 119759850, 145422675, 155117520, 145422675, 119759850, 86493225, 54627300, 30045015, 14307150, 5852925, 2035800, 593775, 142506, 27405, 4060, 435, 30, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010946

a(n)=C(30, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence kbfob2phi1mkb

1, 31, 465, 4495, 31465, 169911, 736281, 2629575, 7888725, 20160075, 44352165, 84672315, 141120525, 206253075, 265182525, 300540195, 300540195, 265182525, 206253075, 141120525, 84672315, 44352165, 20160075, 7888725, 2629575, 736281, 169911, 31465, 4495, 465, 31, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010947

a(n)=C(31, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence lsvfg4psg0b5n

1, 32, 496, 4960, 35960, 201376, 906192, 3365856, 10518300, 28048800, 64512240, 129024480, 225792840, 347373600, 471435600, 565722720, 601080390, 565722720, 471435600, 347373600, 225792840, 129024480, 64512240, 28048800, 10518300, 3365856, 906192, 201376, 35960, 4960, 496, 32, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010948

a(n)=C(32, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence wviv554ohlnwj

1, 33, 528, 5456, 40920, 237336, 1107568, 4272048, 13884156, 38567100, 92561040, 193536720, 354817320, 573166440, 818809200, 1037158320, 1166803110, 1166803110, 1037158320, 818809200, 573166440, 354817320, 193536720, 92561040, 38567100, 13884156, 4272048, 1107568, 237336, 40920, 5456, 528, 33, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010949

a(n)=C(33, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence pvxablniszsth

1, 34, 561, 5984, 46376, 278256, 1344904, 5379616, 18156204, 52451256, 131128140, 286097760, 548354040, 927983760, 1391975640, 1855967520, 2203961430, 2333606220, 2203961430, 1855967520, 1391975640, 927983760, 548354040, 286097760, 131128140, 52451256, 18156204, 5379616, 1344904, 278256, 46376, 5984, 561, 34, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010950

a(n)=C(34, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 0xq02zsrk55qh

1, 35, 595, 6545, 52360, 324632, 1623160, 6724520, 23535820, 70607460, 183579396, 417225900, 834451800, 1476337800, 2319959400, 3247943160, 4059928950, 4537567650, 4537567650, 4059928950, 3247943160, 2319959400, 1476337800, 834451800, 417225900, 183579396, 70607460, 23535820, 6724520, 1623160, 324632, 52360, 6545, 595, 35, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010951

a(n)=C(35, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence oqy3q1wypvbtl

1, 36, 630, 7140, 58905, 376992, 1947792, 8347680, 30260340, 94143280, 254186856, 600805296, 1251677700, 2310789600, 3796297200, 5567902560, 7307872110, 8597496600, 9075135300, 8597496600, 7307872110, 5567902560, 3796297200, 2310789600, 1251677700, 600805296, 254186856, 94143280, 30260340, 8347680, 1947792, 376992, 58905, 7140, 630, 36, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010952

a(n)=C(36, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 20idgl4jtad0b

1, 37, 666, 7770, 66045, 435897, 2324784, 10295472, 38608020, 124403620, 348330136, 854992152, 1852482996, 3562467300, 6107086800, 9364199760, 12875774670, 15905368710, 17672631900, 17672631900, 15905368710, 12875774670, 9364199760, 6107086800, 3562467300, 1852482996, 854992152, 348330136, 124403620, 38608020, 10295472, 2324784, 435897, 66045, 7770, 666, 37, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010953

a(n)=C(37, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence rved4c1u4ougi

1, 38, 703, 8436, 73815, 501942, 2760681, 12620256, 48903492, 163011640, 472733756, 1203322288, 2707475148, 5414950296, 9669554100, 15471286560, 22239974430, 28781143380, 33578000610, 35345263800, 33578000610, 28781143380, 22239974430, 15471286560, 9669554100, 5414950296, 2707475148, 1203322288, 472733756, 163011640, 48903492, 12620256, 2760681, 501942, 73815, 8436, 703, 38, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010954

a(n)=C(38, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence oqlkxb0cpcnpi

1, 39, 741, 9139, 82251, 575757, 3262623, 15380937, 61523748, 211915132, 635745396, 1676056044, 3910797436, 8122425444, 15084504396, 25140840660, 37711260990, 51021117810, 62359143990, 68923264410, 68923264410, 62359143990, 51021117810, 37711260990, 25140840660, 15084504396, 8122425444, 3910797436, 1676056044, 635745396, 211915132, 61523748, 15380937, 3262623, 575757, 82251, 9139, 741, 39, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

integer, non-monotonic, +, A010955

a(n)=C(39, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence udu4xmkvexmzi

1, 40, 780, 9880, 91390, 658008, 3838380, 18643560, 76904685, 273438880, 847660528, 2311801440, 5586853480, 12033222880, 23206929840, 40225345056, 62852101650, 88732378800, more...

integer, strictly-monotonic, +, A010956

a(n)=C(40, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence v5inarl0mlrwk

1, 41, 820, 10660, 101270, 749398, 4496388, 22481940, 95548245, 350343565, 1121099408, 3159461968, 7898654920, 17620076360, 35240152720, 63432274896, more...

integer, strictly-monotonic, +, A010957

a(n)=C(41, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 5zup55y2g51x

1, 42, 861, 11480, 111930, 850668, 5245786, 26978328, 118030185, 445891810, 1471442973, 4280561376, 11058116888, 25518731280, 52860229080, 98672427616, more...

integer, strictly-monotonic, +, A010958

a(n)=C(42, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 4342p1p5inbgd

1, 43, 903, 12341, 123410, 962598, 6096454, 32224114, 145008513, 563921995, 1917334783, 5752004349, 15338678264, 36576848168, 78378960360, more...

integer, strictly-monotonic, +, A010959

a(n)=C(43, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence c5bgceadsgz2p

1, 44, 946, 13244, 135751, 1086008, 7059052, 38320568, 177232627, 708930508, 2481256778, 7669339132, 21090682613, 51915526432, more...

integer, strictly-monotonic, +, A010960

a(n)=C(44, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence z4ovxdmguw4sc

1, 45, 990, 14190, 148995, 1221759, 8145060, 45379620, 215553195, 886163135, 3190187286, 10150595910, 28760021745, 73006209045, more...

integer, strictly-monotonic, +, A010961

a(n)=C(45, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 5vkdsngscrp0f

1, 46, 1035, 15180, 163185, 1370754, 9366819, 53524680, 260932815, 1101716330, 4076350421, 13340783196, 38910617655, more...

integer, strictly-monotonic, +, A010962

a(n)=C(46, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1uo344fdnd2uk

1, 47, 1081, 16215, 178365, 1533939, 10737573, 62891499, 314457495, 1362649145, 5178066751, 17417133617, 52251400851, more...

integer, strictly-monotonic, +, A010963

a(n)=C(47, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 3vtw4q3llztsl

1, 48, 1128, 17296, 194580, 1712304, 12271512, 73629072, 377348994, 1677106640, 6540715896, 22595200368, 69668534468, more...

integer, strictly-monotonic, +, A010964

a(n)=C(48, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence l4knxur5nwlme

1, 49, 1176, 18424, 211876, 1906884, 13983816, 85900584, 450978066, 2054455634, 8217822536, 29135916264, 92263734836, more...

integer, strictly-monotonic, +, A017765

a(n)=C(49, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence vufmo4oju4jzk

1, 50, 1225, 19600, 230300, 2118760, 15890700, 99884400, 536878650, 2505433700, 10272278170, 37353738800, more...

integer, strictly-monotonic, +, A017766

a(n)=C(50, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jfdit1xqjkiim

1, 51, 1275, 20825, 249900, 2349060, 18009460, 115775100, 636763050, 3042312350, 12777711870, 47626016970, more...

integer, strictly-monotonic, +, A017767

a(n)=C(51, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence she1qdab4o1bd

1, 52, 1326, 22100, 270725, 2598960, 20358520, 133784560, 752538150, 3679075400, 15820024220, 60403728840, more...

integer, strictly-monotonic, +, A017768

a(n)=C(52, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence r3xezvf5g5grp

1, 53, 1378, 23426, 292825, 2869685, 22957480, 154143080, 886322710, 4431613550, 19499099620, 76223753060, more...

integer, strictly-monotonic, +, A017769

a(n)=C(53, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence up4ywfi2nqhfc

1, 54, 1431, 24804, 316251, 3162510, 25827165, 177100560, 1040465790, 5317936260, 23930713170, 95722852680, more...

integer, strictly-monotonic, +, A017770

a(n)=C(54, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 20ipcvwqq3k4c

1, 55, 1485, 26235, 341055, 3478761, 28989675, 202927725, 1217566350, 6358402050, 29248649430, more...

integer, strictly-monotonic, +, A017771

a(n)=C(55, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1un4svfoeqxfm

1, 56, 1540, 27720, 367290, 3819816, 32468436, 231917400, 1420494075, 7575968400, 35607051480, more...

integer, strictly-monotonic, +, A017772

a(n)=C(56, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence rf2ay0sb1yshh

1, 57, 1596, 29260, 395010, 4187106, 36288252, 264385836, 1652411475, 8996462475, 43183019880, more...

integer, strictly-monotonic, +, A017773

a(n)=C(57, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

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