Sequence Database

A database with 662107 machine generated integer and decimal sequences.

Displaying the first 100 of 176803 results.

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(n%p(P(n)))
P(n)=Partition numbers
p(n)=nth prime
pt(n)=Pascals triangle by rows
n≥0
6 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(n%p(a(n-1)))
a(0)=1
p(n)=nth prime
P(n)=Partition numbers
n≥0
5 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

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)=Ω(2^n)*a(n-1)
a(0)=1
Ω(n)=max factorization terms
n≥0
6 operations
Prime

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

Sequence mhscdx1gdpm4i

1, 58, 1653, 30856, 424270, 4582116, 40475358, 300674088, 1916797311, 10648873950, 52179482355, more...

integer, strictly-monotonic, +, A017774

a(n)=C(58, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence n5wktu0xkkxko

1, 59, 1711, 32509, 455126, 5006386, 45057474, 341149446, 2217471399, 12565671261, 62828356305, more...

integer, strictly-monotonic, +, A017775

a(n)=C(59, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence ad4acfgrzmbgb

1, 60, 1770, 34220, 487635, 5461512, 50063860, 386206920, 2558620845, 14783142660, 75394027566, more...

integer, strictly-monotonic, +, A017776

a(n)=C(60, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence dpzueqgm3f5zc

1, 61, 1830, 35990, 521855, 5949147, 55525372, 436270780, 2944827765, 17341763505, 90177170226, more...

integer, strictly-monotonic, +, A017777

a(n)=C(61, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence hq2i3tj1n3nqe

1, 62, 1891, 37820, 557845, 6471002, 61474519, 491796152, 3381098545, 20286591270, more...

integer, strictly-monotonic, +, A017778

a(n)=C(62, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence whzftw0hz4tid

1, 63, 1953, 39711, 595665, 7028847, 67945521, 553270671, 3872894697, 23667689815, more...

integer, strictly-monotonic, +, A017779

a(n)=C(63, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 3ne4oegg5pyyp

1, 64, 2016, 41664, 635376, 7624512, 74974368, 621216192, 4426165368, 27540584512, more...

integer, strictly-monotonic, +, A017780

a(n)=C(64, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence wcvfb4qhmhzcj

1, 65, 2080, 43680, 677040, 8259888, 82598880, 696190560, 5047381560, 31966749880, more...

integer, strictly-monotonic, +, A017781

a(n)=C(65, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 2nkg4upqspilm

1, 66, 2145, 45760, 720720, 8936928, 90858768, 778789440, 5743572120, 37014131440, more...

integer, strictly-monotonic, +, A017782

a(n)=C(66, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence uhgt01rwx4tqn

1, 67, 2211, 47905, 766480, 9657648, 99795696, 869648208, 6522361560, 42757703560, more...

integer, strictly-monotonic, +, A017783

a(n)=C(67, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 03udws2yqso2f

1, 68, 2278, 50116, 814385, 10424128, 109453344, 969443904, 7392009768, 49280065120, more...

integer, strictly-monotonic, +, A017784

a(n)=C(68, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence nxz5lop53gicf

1, 69, 2346, 52394, 864501, 11238513, 119877472, 1078897248, 8361453672, 56672074888, more...

integer, strictly-monotonic, +, A017785

a(n)=C(69, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 4z1psh3cqnk4

1, 70, 2415, 54740, 916895, 12103014, 131115985, 1198774720, 9440350920, 65033528560, more...

integer, strictly-monotonic, +, A017786

a(n)=C(70, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence odikl4bdvewyn

1, 71, 2485, 57155, 971635, 13019909, 143218999, 1329890705, 10639125640, 74473879480, more...

integer, strictly-monotonic, +, A017787

a(n)=C(71, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence d2wergwrzfelb

1, 72, 2556, 59640, 1028790, 13991544, 156238908, 1473109704, 11969016345, 85113005120, more...

integer, strictly-monotonic, +, A017788

a(n)=C(72, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence jowenwcboz4xh

1, 73, 2628, 62196, 1088430, 15020334, 170230452, 1629348612, 13442126049, 97082021465, more...

integer, strictly-monotonic, +, A017789

a(n)=C(73, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence komqps12y3zdn

1, 74, 2701, 64824, 1150626, 16108764, 185250786, 1799579064, 15071474661, more...

integer, strictly-monotonic, +, A017790

a(n)=C(74, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1l4xhmljybrmg

1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, more...

integer, strictly-monotonic, +, A017791

a(n)=C(75, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tjvuqjlapeu5n

1, 76, 2850, 70300, 1282975, 18474840, 218618940, 2186189400, 18855883575, more...

integer, strictly-monotonic, +, A017792

a(n)=C(76, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 1cbth5ci1uc5l

1, 77, 2926, 73150, 1353275, 19757815, 237093780, 2404808340, 21042072975, more...

integer, strictly-monotonic, +, A017793

a(n)=C(77, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence r4cljkbmrhrzm

1, 78, 3003, 76076, 1426425, 21111090, 256851595, 2641902120, 23446881315, more...

integer, strictly-monotonic, +, A017794

a(n)=C(78, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence kfjmiaafv24bd

1, 79, 3081, 79079, 1502501, 22537515, 277962685, 2898753715, 26088783435, more...

integer, strictly-monotonic, +, A017795

a(n)=C(79, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence dfj1zilpopmhf

1, 80, 3160, 82160, 1581580, 24040016, 300500200, 3176716400, 28987537150, more...

integer, strictly-monotonic, +, A017796

a(n)=C(80, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence rd25jfxbzymkn

1, 81, 3240, 85320, 1663740, 25621596, 324540216, 3477216600, 32164253550, more...

integer, strictly-monotonic, +, A017797

a(n)=C(81, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tgo0y4n12n31m

1, 82, 3321, 88560, 1749060, 27285336, 350161812, 3801756816, 35641470150, more...

integer, strictly-monotonic, +, A017798

a(n)=C(82, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence zml0lyayta5fn

1, 83, 3403, 91881, 1837620, 29034396, 377447148, 4151918628, 39443226966, more...

integer, strictly-monotonic, +, A017799

a(n)=C(83, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence ov4maw2boblof

1, 84, 3486, 95284, 1929501, 30872016, 406481544, 4529365776, 43595145594, more...

integer, strictly-monotonic, +, A017800

a(n)=C(84, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence wrlcajgfy5amp

1, 85, 3570, 98770, 2024785, 32801517, 437353560, 4935847320, 48124511370, more...

integer, strictly-monotonic, +, A017801

a(n)=C(85, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 5st3b2fxyiqzn

1, 86, 3655, 102340, 2123555, 34826302, 470155077, 5373200880, 53060358690, more...

integer, strictly-monotonic, +, A017802

a(n)=C(86, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence qgq1efmqpz1mk

1, 87, 3741, 105995, 2225895, 36949857, 504981379, 5843355957, 58433559570, more...

integer, strictly-monotonic, +, A017803

a(n)=C(87, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tr3qj1qbz5hdg

1, 88, 3828, 109736, 2331890, 39175752, 541931236, 6348337336, 64276915527, more...

integer, strictly-monotonic, +, A017804

a(n)=C(88, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence x4nvjwog2bcip

1, 89, 3916, 113564, 2441626, 41507642, 581106988, 6890268572, 70625252863, more...

integer, strictly-monotonic, +, A017805

a(n)=C(89, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence 310d42lbaqc3k

1, 90, 4005, 117480, 2555190, 43949268, 622614630, 7471375560, 77515521435, more...

integer, strictly-monotonic, +, A017806

a(n)=C(90, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence fp541wozoouvh

1, 91, 4095, 121485, 2672670, 46504458, 666563898, 8093990190, 84986896995, more...

integer, strictly-monotonic, +, A017807

a(n)=C(91, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tkqthsic2rftp

1, 92, 4186, 125580, 2794155, 49177128, 713068356, 8760554088, 93080887185, more...

integer, strictly-monotonic, +, A017808

a(n)=C(92, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence u02rhlfac5geo

1, 93, 4278, 129766, 2919735, 51971283, 762245484, 9473622444, more...

integer, strictly-monotonic, +, A017809

a(n)=C(93, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence sjf2ibshseflh

1, 94, 4371, 134044, 3049501, 54891018, 814216767, 10235867928, more...

integer, strictly-monotonic, +, A017810

a(n)=C(94, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence m4fcx23qbtwbg

1, 95, 4465, 138415, 3183545, 57940519, 869107785, 11050084695, more...

integer, strictly-monotonic, +, A017811

a(n)=C(95, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence zxnb110qdmfdf

1, 96, 4560, 142880, 3321960, 61124064, 927048304, 11919192480, more...

integer, strictly-monotonic, +, A017812

a(n)=C(96, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence tro0g24msr5wd

1, 97, 4656, 147440, 3464840, 64446024, 988172368, 12846240784, more...

integer, strictly-monotonic, +, A017813

a(n)=C(97, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence hhu1ndisybdqg

1, 98, 4753, 152096, 3612280, 67910864, 1052618392, 13834413152, more...

integer, strictly-monotonic, +, A017814

a(n)=C(98, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence ub4snzbmgylwk

1, 99, 4851, 156849, 3764376, 71523144, 1120529256, 14887031544, more...

integer, strictly-monotonic, +, A017815

a(n)=C(99, n)
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence ayvitaowqzc3k

4, 5, 7, 15, 176, more...

integer, strictly-monotonic, +, A072215

a(n)=P(a(n-1))
a(0)=4
P(n)=Partition numbers
n≥0
2 operations
Combinatoric
a(n)=P(Ω(2^a(n-1)))
a(0)=4
Ω(n)=max factorization terms
P(n)=Partition numbers
n≥0
5 operations
Prime

Sequence zeqvcdgwtre5c

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

integer, monotonic, -

a(n)=-n!
n≥0
3 operations
Combinatoric

Sequence qlbnsbtpf0xfn

-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, -

a(n)=-catalan(n)
n≥0
3 operations
Combinatoric

Sequence 3ygvn2ndhqoup

-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, -

a(n)=-P(n)
P(n)=Partition numbers
n≥0
3 operations
Combinatoric

Sequence afpks0yvdxnmm

-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, -

a(n)=-pt(n)
pt(n)=Pascals triangle by rows
n≥0
3 operations
Combinatoric

Sequence 3iz4qu22b0hrh

4, 6, 15, 105, 5460, 14903070, more...

integer, strictly-monotonic, +, A086714

a(n)=C(a(n-1), 2)
a(0)=4
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=(a(n-1)-1)/(2/a(n-1))
a(0)=4
n≥0
7 operations
Recursive
a(n)=C(a(n-1), lpf(ϕ(n)))
a(0)=4
ϕ(n)=number of relative primes (Euler's totient)
lpf(n)=least prime factor of n
C(n,k)=binomial coefficient
n≥2
5 operations
Prime

Sequence ogn40jmhg21qh

5, 10, 45, 990, 489555, more...

integer, strictly-monotonic, +

a(n)=C(a(n-1), 2)
a(0)=5
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(a(n-1), gpf(ϕ(n)))
a(0)=5
ϕ(n)=number of relative primes (Euler's totient)
gpf(n)=greatest prime factor of n
C(n,k)=binomial coefficient
n≥2
5 operations
Prime

Sequence vthjrkdmos3qp

2, 2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, more...

integer, monotonic, +, A208529

a(n)=n*a(n-1)
a(0)=2
n≥0
3 operations
Recursive
a(n)=2*n!
n≥0
4 operations
Combinatoric
a(n)=n*lcm(a(n-1), 2)
a(0)=2
lcm(a,b)=least common multiple
n≥0
5 operations
Divisibility
a(n)=n^2/(n/a(n-1))
a(0)=2
n≥0
7 operations
Power
a(n)=Ω(2^n)*a(n-1)
a(0)=2
Ω(n)=max factorization terms
n≥0
6 operations
Prime

Sequence yokycpzo01z4e

3, 3, 6, 18, 72, 360, 2160, 15120, 120960, 1088640, 10886400, 119750400, 1437004800, 18681062400, more...

integer, monotonic, +, A052560

a(n)=n*a(n-1)
a(0)=3
n≥0
3 operations
Recursive
a(n)=3*n!
n≥0
4 operations
Combinatoric
a(n)=n*lcm(a(n-1), 3)
a(0)=3
lcm(a,b)=least common multiple
n≥0
5 operations
Divisibility

Sequence z1run5bpkwt1d

4, 4, 6, 20, 4845, more...

integer, monotonic, +, A143391

a(n)=C(a(n-1), n)
a(0)=4
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric

Sequence iabkx1k1uw4ui

4, 4, 8, 24, 96, 480, 2880, 20160, 161280, 1451520, 14515200, 159667200, 1916006400, 24908083200, more...

integer, monotonic, +

a(n)=n*a(n-1)
a(0)=4
n≥0
3 operations
Recursive
a(n)=4*n!
n≥0
4 operations
Combinatoric
a(n)=n*lcm(a(n-1), 2)
a(0)=4
lcm(a,b)=least common multiple
n≥0
5 operations
Divisibility

Sequence owezdnofvqzrh

5, 5, 10, 30, 120, 600, 3600, 25200, 201600, 1814400, 18144000, 199584000, 2395008000, 31135104000, more...

integer, monotonic, +

a(n)=n*a(n-1)
a(0)=5
n≥0
3 operations
Recursive
a(n)=5*n!
n≥0
4 operations
Combinatoric
a(n)=n*lcm(a(n-1), 5)
a(0)=5
lcm(a,b)=least common multiple
n≥0
5 operations
Divisibility

Sequence ams5oydpxocz

5, 5, 10, 120, 8214570, more...

integer, monotonic, +

a(n)=C(a(n-1), n)
a(0)=5
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=C(a(n-1), σ(τ(n)))
a(0)=5
τ(n)=number of divisors of n
σ(n)=divisor sum of n
C(n,k)=binomial coefficient
n≥0
5 operations
Prime

Sequence 1uhgqwiqnvoni

-9, -9, -9, -9, -8, -9, -9, -7, -7, -9, -9, -6, -4, -6, -9, -9, -5, 0, 0, -5, -9, -9, -4, 5, 10, 5, -4, -9, -9, -3, 11, 25, 25, 11, -3, -9, -9, -2, 18, 46, 60, 46, 18, -2, -9, -9, -1, 26, 74, 116, more...

integer, non-monotonic, +-

a(n)=pt(n)-10
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence p3xhlzmgl3k3p

-9, -9, -8, -7, -5, -3, 1, 5, 12, 20, 32, 46, 67, 91, 125, 166, 221, 287, 375, 480, 617, 782, 992, 1245, 1565, 1948, 2426, 3000, 3708, 4555, 5594, 6832, 8339, 10133, 12300, 14873, 17967, 21627, 26005, 31175, 37328, 44573, 53164, 63251, 75165, 89124, 105548, 124744, 147263, 173515, more...

integer, monotonic, +-

a(n)=P(n)-10
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence vsfa00yq5ysel

-9, -9, -8, -5, 4, 32, 122, 419, 1420, 4852, 16786, 58776, 208002, 742890, 2674430, 9694835, 35357660, 129644780, 477638690, 1767263180, 6564120410, 24466267010, 91482563630, more...

integer, monotonic, +-

a(n)=catalan(n)-10
n≥0
4 operations
Combinatoric

Sequence p3qhdyqro2zkl

-9, -9, -8, -4, 14, 110, 710, 5030, 40310, 362870, 3628790, 39916790, 479001590, 6227020790, 87178291190, more...

integer, monotonic, +-

a(n)=n!-10
n≥0
4 operations
Combinatoric

Sequence a4opvjxxcchik

-8, -8, -8, -8, -7, -8, -8, -6, -6, -8, -8, -5, -3, -5, -8, -8, -4, 1, 1, -4, -8, -8, -3, 6, 11, 6, -3, -8, -8, -2, 12, 26, 26, 12, -2, -8, -8, -1, 19, 47, 61, 47, 19, -1, -8, -8, 0, 27, 75, 117, more...

integer, non-monotonic, +-

a(n)=pt(n)-9
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence j5ect4kvc3cig

-8, -8, -7, -6, -4, -2, 2, 6, 13, 21, 33, 47, 68, 92, 126, 167, 222, 288, 376, 481, 618, 783, 993, 1246, 1566, 1949, 2427, 3001, 3709, 4556, 5595, 6833, 8340, 10134, 12301, 14874, 17968, 21628, 26006, 31176, 37329, 44574, 53165, 63252, 75166, 89125, 105549, 124745, 147264, 173516, more...

integer, monotonic, +-

a(n)=P(n)-9
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence kukraae5l3mod

-8, -8, -7, -4, 5, 33, 123, 420, 1421, 4853, 16787, 58777, 208003, 742891, 2674431, 9694836, 35357661, 129644781, 477638691, 1767263181, 6564120411, 24466267011, 91482563631, more...

integer, monotonic, +-

a(n)=catalan(n)-9
n≥0
4 operations
Combinatoric

Sequence mlke3x1lhcoan

-8, -8, -7, -3, 15, 111, 711, 5031, 40311, 362871, 3628791, 39916791, 479001591, 6227020791, 87178291191, more...

integer, monotonic, +-

a(n)=n!-9
n≥0
4 operations
Combinatoric

Sequence nfcyf2ebknjok

-7, -7, -7, -7, -6, -7, -7, -5, -5, -7, -7, -4, -2, -4, -7, -7, -3, 2, 2, -3, -7, -7, -2, 7, 12, 7, -2, -7, -7, -1, 13, 27, 27, 13, -1, -7, -7, 0, 20, 48, 62, 48, 20, 0, -7, -7, 1, 28, 76, 118, more...

integer, non-monotonic, +-

a(n)=pt(n)-8
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence 3daicmhoymoln

-7, -7, -6, -5, -3, -1, 3, 7, 14, 22, 34, 48, 69, 93, 127, 168, 223, 289, 377, 482, 619, 784, 994, 1247, 1567, 1950, 2428, 3002, 3710, 4557, 5596, 6834, 8341, 10135, 12302, 14875, 17969, 21629, 26007, 31177, 37330, 44575, 53166, 63253, 75167, 89126, 105550, 124746, 147265, 173517, more...

integer, monotonic, +-

a(n)=P(n)-8
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence qe3dwwkl0dcxg

-7, -7, -6, -3, 6, 34, 124, 421, 1422, 4854, 16788, 58778, 208004, 742892, 2674432, 9694837, 35357662, 129644782, 477638692, 1767263182, 6564120412, 24466267012, 91482563632, more...

integer, monotonic, +-

a(n)=catalan(n)-8
n≥0
4 operations
Combinatoric

Sequence 2dknimtvynimh

-7, -7, -6, -2, 16, 112, 712, 5032, 40312, 362872, 3628792, 39916792, 479001592, 6227020792, 87178291192, more...

integer, monotonic, +-

a(n)=n!-8
n≥0
4 operations
Combinatoric

Sequence ce0iw52xcoiaj

-6, -6, -6, -6, -5, -6, -6, -4, -4, -6, -6, -3, -1, -3, -6, -6, -2, 3, 3, -2, -6, -6, -1, 8, 13, 8, -1, -6, -6, 0, 14, 28, 28, 14, 0, -6, -6, 1, 21, 49, 63, 49, 21, 1, -6, -6, 2, 29, 77, 119, more...

integer, non-monotonic, +-

a(n)=pt(n)-7
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence vhx21ewyszqan

-6, -6, -5, -4, -2, 0, 4, 8, 15, 23, 35, 49, 70, 94, 128, 169, 224, 290, 378, 483, 620, 785, 995, 1248, 1568, 1951, 2429, 3003, 3711, 4558, 5597, 6835, 8342, 10136, 12303, 14876, 17970, 21630, 26008, 31178, 37331, 44576, 53167, 63254, 75168, 89127, 105551, 124747, 147266, 173518, more...

integer, monotonic, +-

a(n)=P(n)-7
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence qj4crtwcm2htl

-6, -6, -5, -2, 7, 35, 125, 422, 1423, 4855, 16789, 58779, 208005, 742893, 2674433, 9694838, 35357663, 129644783, 477638693, 1767263183, 6564120413, 24466267013, 91482563633, more...

integer, monotonic, +-

a(n)=catalan(n)-7
n≥0
4 operations
Combinatoric

Sequence d4jvzninbi5g

-6, -6, -5, -1, 17, 113, 713, 5033, 40313, 362873, 3628793, 39916793, 479001593, 6227020793, 87178291193, more...

integer, monotonic, +-

a(n)=n!-7
n≥0
4 operations
Combinatoric

Sequence wbrbkm1wylg2m

-5, -5, -5, -5, -4, -5, -5, -3, -3, -5, -5, -2, 0, -2, -5, -5, -1, 4, 4, -1, -5, -5, 0, 9, 14, 9, 0, -5, -5, 1, 15, 29, 29, 15, 1, -5, -5, 2, 22, 50, 64, 50, 22, 2, -5, -5, 3, 30, 78, 120, more...

integer, non-monotonic, +-

a(n)=pt(n)-6
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence spdwg5l2xht0h

-5, -5, -4, -3, -1, 1, 5, 9, 16, 24, 36, 50, 71, 95, 129, 170, 225, 291, 379, 484, 621, 786, 996, 1249, 1569, 1952, 2430, 3004, 3712, 4559, 5598, 6836, 8343, 10137, 12304, 14877, 17971, 21631, 26009, 31179, 37332, 44577, 53168, 63255, 75169, 89128, 105552, 124748, 147267, 173519, more...

integer, monotonic, +-

a(n)=P(n)-6
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence 50q4i4xdr2iol

-5, -5, -4, -1, 8, 36, 126, 423, 1424, 4856, 16790, 58780, 208006, 742894, 2674434, 9694839, 35357664, 129644784, 477638694, 1767263184, 6564120414, 24466267014, 91482563634, more...

integer, monotonic, +-

a(n)=catalan(n)-6
n≥0
4 operations
Combinatoric

Sequence ti2jralh4ovll

-5, -5, -4, 0, 18, 114, 714, 5034, 40314, 362874, 3628794, 39916794, 479001594, 6227020794, 87178291194, more...

integer, monotonic, +-

a(n)=n!-6
n≥0
4 operations
Combinatoric

Sequence lrbsqzbegefkn

-4, -4, -4, -4, -3, -4, -4, -2, -2, -4, -4, -1, 1, -1, -4, -4, 0, 5, 5, 0, -4, -4, 1, 10, 15, 10, 1, -4, -4, 2, 16, 30, 30, 16, 2, -4, -4, 3, 23, 51, 65, 51, 23, 3, -4, -4, 4, 31, 79, 121, more...

integer, non-monotonic, +-

a(n)=pt(n)-5
pt(n)=Pascals triangle by rows
n≥0
4 operations
Combinatoric

Sequence uphvfe2q4hhqd

-4, -4, -3, -2, 0, 2, 6, 10, 17, 25, 37, 51, 72, 96, 130, 171, 226, 292, 380, 485, 622, 787, 997, 1250, 1570, 1953, 2431, 3005, 3713, 4560, 5599, 6837, 8344, 10138, 12305, 14878, 17972, 21632, 26010, 31180, 37333, 44578, 53169, 63256, 75170, 89129, 105553, 124749, 147268, 173520, more...

integer, monotonic, +-

a(n)=P(n)-5
P(n)=Partition numbers
n≥0
4 operations
Combinatoric

Sequence 1so5kghmfnsko

-4, -4, -3, 0, 9, 37, 127, 424, 1425, 4857, 16791, 58781, 208007, 742895, 2674435, 9694840, 35357665, 129644785, 477638695, 1767263185, 6564120415, 24466267015, 91482563635, more...

integer, monotonic, +-

a(n)=catalan(n)-5
n≥0
4 operations
Combinatoric