Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 45027. [0] [1] [2] [3] [4] ... [450]

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 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 u3d4azhbn4edf

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

integer, non-monotonic, +

a(n)=stern(n)!
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Combinatoric

Sequence 3skgx4q5kp0on

1, 1, 1, 2, 2, 4, 12, 36, 36, more...

integer, monotonic, +

a(n)=stern(n!)
stern(n)=Stern-Brocot sequence
n≥0
3 operations
Combinatoric

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)=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
a(n)=Ω(2^n)*a(n-1)
a(0)=3
Ω(n)=max factorization terms
n≥0
6 operations
Prime

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 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 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 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 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 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 y1jqiiowfidjd

-4, -4, -3, 1, 19, 115, 715, 5035, 40315, 362875, 3628795, 39916795, 479001595, 6227020795, 87178291195, more...

integer, monotonic, +-

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

Sequence ul0m1q0jybur

-3, -3, -2, 2, 20, 116, 716, 5036, 40316, 362876, 3628796, 39916796, 479001596, 6227020796, 87178291196, more...

integer, monotonic, +-

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

Sequence hghjn5ebkbr5i

-2.1415926536, -2.1415926536, -1.1415926536, 2.8584073464, 20.8584073464, 116.8584073464, 716.8584073464, 5036.8584073464, 40316.8584073464, 362876.8584073464, 3628796.8584073465, 39916796.85840735, 479001596.8584073, 6227020796.858407, 87178291196.85841, more...

decimal, monotonic, +-

a(n)=n!-π
π=3.141...
n≥0
4 operations
Combinatoric

Sequence 5sfklurgw0sz

-2, -2, -1, 3, 21, 117, 717, 5037, 40317, 362877, 3628797, 39916797, 479001597, 6227020797, 87178291197, more...

integer, monotonic, +-

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

Sequence ecspznwn0xwhm

-1, -1, 0, 4, 22, 118, 718, 5038, 40318, 362878, 3628798, 39916798, 479001598, 6227020798, 87178291198, more...

integer, monotonic, +-, A261193

a(n)=n!-2
n≥0
4 operations
Combinatoric

Sequence 3poyoobwzix4e

0, 0, -1, -5, -23, -119, -719, -5039, -40319, -362879, -3628799, -39916799, -479001599, -6227020799, -87178291199, more...

integer, monotonic, -

a(n)=1-n!
n≥0
4 operations
Combinatoric
a(n)=1-(1-a(n-1))*n
a(0)=0
n≥0
7 operations
Recursive

Sequence 34ercxjhfbrho

0, 0, 1, 5, 23, 119, 719, 5039, 40319, 362879, 3628799, 39916799, 479001599, 6227020799, 87178291199, more...

integer, monotonic, +, A033312

a(n)=n!-1
n≥0
4 operations
Combinatoric
a(n)=(1+a(n-1))*n-1
a(0)=0
n≥0
7 operations
Recursive

Sequence yvfs5kst2hftd

0.1, 0.1, 0.2, 0.6, 2.4, 12, 72, 504, 4032, 36288, 362880, 3991680, 47900160, 622702080, 8717829120, more...

decimal, monotonic, +

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

Sequence 3lj3zimivvmzl

0.1111111111, 0.1111111111, 0.2222222222, 0.6666666667, 2.6666666667, 13.3333333333, 80, 560, 4480, 40320, 403200, 4435200, 53222400, 691891200, 9686476800, more...

decimal, monotonic, +

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

Sequence 1ldbmkjnpbzmh

0.125, 0.125, 0.25, 0.75, 3, 15, 90, 630, 5040, 45360, 453600, 4989600, 59875200, 778377600, 10897286400, more...

decimal, monotonic, +

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

Sequence bntki2lfzxowb

0.1428571429, 0.1428571429, 0.2857142857, 0.8571428571, 3.4285714286, 17.1428571429, 102.8571428571, 720, 5760, 51840, 518400, 5702400, 68428800, 889574400, 12454041600, more...

decimal, monotonic, +

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

Sequence guvctfcukq5uk

0.1666666667, 0.1666666667, 0.3333333333, 1, 4, 20, 120, 840, 6720, 60480, 604800, 6652800, 79833600, 1037836800, 14529715200, more...

decimal, monotonic, +

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

Sequence duzjd4ex3umro

0.2, 0.2, 0.4, 1.2, 4.8, 24, 144, 1008, 8064, 72576, 725760, 7983360, 95800320, 1245404160, 17435658240, more...

decimal, monotonic, +

a(n)=n!/5
n≥0
4 operations
Combinatoric

Sequence gq0v5z3a0a5ji

0.25, 0.25, 0.5, 1.5, 6, 30, 180, 1260, 10080, 90720, 907200, 9979200, 119750400, 1556755200, 21794572800, more...

decimal, monotonic, +

a(n)=n!/4
n≥0
4 operations
Combinatoric

Sequence y4m0qztrmdgin

0.3183098862, 0.3183098862, 0.6366197724, 1.9098593171, 7.6394372684, 38.1971863421, 229.1831180523, 1604.2818263663, 12834.2546109304, 115508.291498374, 1155082.9149837396, 12705912.064821135, 152470944.77785364, 1982122282.1120973, 27749711949.569363, more...

decimal, monotonic, +

a(n)=n!/π
π=3.141...
n≥0
4 operations
Combinatoric

Sequence mrwvcove3hixp

0.3333333333, 0.3333333333, 0.6666666667, 2, 8, 40, 240, 1680, 13440, 120960, 1209600, 13305600, 159667200, 2075673600, 29059430400, more...

decimal, monotonic, +

a(n)=n!/3
n≥0
4 operations
Combinatoric

Sequence oo5o4byc3lr3o

0.5, 0.5, 1, 3, 12, 60, 360, 2520, 20160, 181440, 1814400, 19958400, 239500800, 3113510400, 43589145600, more...

decimal, monotonic, +

a(n)=n!/2
n≥0
4 operations
Combinatoric

Sequence xvz0ybcq1dszm

1, 1, 0, -4, -22, -118, -718, -5038, -40318, -362878, -3628798, -39916798, -479001598, -6227020798, -87178291198, more...

integer, monotonic, +-

a(n)=2-n!
n≥0
4 operations
Combinatoric
a(n)=2-(2-a(n-1))*n
a(0)=1
n≥0
7 operations
Recursive

Sequence 0dww2soc1putn

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

integer, strictly-monotonic, +

a(n)=∏(1+n)
∏(a)=partial products of a
n≥0
4 operations
Arithmetic
a(n)=(1+n)*a(n-1)
a(0)=1
n≥0
5 operations
Recursive
a(n)=(1+n)!
n≥0
4 operations
Combinatoric
a(n)=lcm(n, ∏(-n))
∏(a)=partial products of a
lcm(a,b)=least common multiple
n≥1
5 operations
Divisibility
a(n)=∏(sqrt(n*n))
∏(a)=partial products of a
n≥1
5 operations
Power
a(n)=∏(Δ(∑(n)))
∑(a)=partial sums of a
Δ(a)=differences of a
∏(a)=partial products of a
n≥0
4 operations
Variable
a(n)=∏(τ(2^n))
τ(n)=number of divisors of n
∏(a)=partial products of a
n≥0
5 operations
Prime

Sequence oqtlbmquqewkf

1, 2, 24, 720, 40320, 3628800, 479001600, 87178291200, more...

integer, strictly-monotonic, +, A010050

a(n)=(2*n)!
n≥0
4 operations
Combinatoric
a(n)=Ω(4^n)!
Ω(n)=max factorization terms
n≥0
5 operations
Prime

Sequence ojw1u2g0aij5i

2, 2, 1, -3, -21, -117, -717, -5037, -40317, -362877, -3628797, -39916797, -479001597, -6227020797, -87178291197, more...

integer, monotonic, +-

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

Sequence o1ulho20tejvf

2, 2, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, more...

integer, monotonic, +, A038507

a(n)=1+n!
n≥0
4 operations
Combinatoric
a(n)=1+n/(1/a(n-1))-n
a(0)=2
n≥0
9 operations
Recursive

Sequence n1yqtt4vwjphj

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

integer, strictly-monotonic, +

a(n)=∏(2+n)
∏(a)=partial products of a
n≥0
4 operations
Arithmetic
a(n)=∏(1+a(n-1))
a(0)=2
∏(a)=partial products of a
n≥0
4 operations
Recursive
a(n)=(2+n)!
n≥0
4 operations
Combinatoric
a(n)=∏(n%n²)
∏(a)=partial products of a
n≥2
5 operations
Divisibility
a(n)=∏(n%composite(n))
composite(n)=nth composite number
∏(a)=partial products of a
n≥2
5 operations
Prime
a(n)=∏(floor(∑(sqrt(a(n-1)))))
a(0)=2
∑(a)=partial sums of a
∏(a)=partial products of a
n≥0
5 operations
Power

Sequence 15shplxf1mbpe

2.1415926536, 2.1415926536, 1.1415926536, -2.8584073464, -20.8584073464, -116.8584073464, -716.8584073464, -5036.8584073464, -40316.8584073464, -362876.8584073464, -3628796.8584073465, -39916796.85840735, -479001596.8584073, -6227020796.858407, -87178291196.85841, more...

decimal, monotonic, +-

a(n)=π-n!
π=3.141...
n≥0
4 operations
Combinatoric

Sequence nd4nz1tedvhrg

3, 3, 1.5, 0.5, 0.125, 0.025, 0.0041666667, 0.0005952381, 0.0000744048, 0.0000082672, 0.0000008267, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=1/(n/a(n-1))
a(0)=3
n≥0
5 operations
Recursive
a(n)=3/n!
n≥0
4 operations
Combinatoric

Sequence gdoevcbue22ah

3, 3, 2, -2, -20, -116, -716, -5036, -40316, -362876, -3628796, -39916796, -479001596, -6227020796, -87178291196, more...

integer, monotonic, +-

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

Sequence qxc4ab4saxqgo

3, 3, 4, 8, 26, 122, 722, 5042, 40322, 362882, 3628802, 39916802, 479001602, 6227020802, 87178291202, more...

integer, monotonic, +

a(n)=2+n!
n≥0
4 operations
Combinatoric

Sequence 2nnuocjdrwv3o

3.1415926536, 3.1415926536, 1.5707963268, 0.5235987756, 0.1308996939, 0.0261799388, 0.0043633231, 0.0006233319, 0.0000779165, 0.0000086574, 0.0000008657, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=π/n!
π=3.141...
n≥0
4 operations
Combinatoric

Sequence 0xs4c4qf2zgqm

3.1415926536, 3.1415926536, 6.2831853072, 18.8495559215, 75.3982236862, 376.9911184308, 2261.9467105847, 15833.6269740926, 126669.0157927405, 1140021.142134664, 11400211.421346642, 125402325.63481306, 1504827907.6177566, 19562762799.030838, more...

decimal, monotonic, +

a(n)=π*n!
π=3.141...
n≥0
4 operations
Combinatoric

Sequence 2scaysfm12quj

4, 4, 3, -1, -19, -115, -715, -5035, -40315, -362875, -3628795, -39916795, -479001595, -6227020795, -87178291195, more...

integer, monotonic, +-

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

Sequence okwd1nkxxvymb

4, 4, 5, 9, 27, 123, 723, 5043, 40323, 362883, 3628803, 39916803, 479001603, 6227020803, 87178291203, more...

integer, monotonic, +

a(n)=3+n!
n≥0
4 operations
Combinatoric

Sequence zixbirmwwhbxj

4.1415926536, 4.1415926536, 5.1415926536, 9.1415926536, 27.1415926536, 123.1415926536, 723.1415926536, 5043.1415926536, 40323.1415926536, 362883.1415926536, 3628803.1415926535, 39916803.14159265, 479001603.1415927, 6227020803.141593, 87178291203.14159, more...

decimal, monotonic, +

a(n)=π+n!
π=3.141...
n≥0
4 operations
Combinatoric

Sequence rzhktcwrow2ih

5, 5, 2.5, 0.8333333333, 0.2083333333, 0.0416666667, 0.0069444444, 0.0009920635, 0.0001240079, 0.0000137787, 0.0000013779, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=1/(n/a(n-1))
a(0)=5
n≥0
5 operations
Recursive
a(n)=5/n!
n≥0
4 operations
Combinatoric

Sequence igmawhjbkklpf

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

integer, monotonic, +-

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

Sequence mopac0znzxcri

5, 5, 6, 10, 28, 124, 724, 5044, 40324, 362884, 3628804, 39916804, 479001604, 6227020804, 87178291204, more...

integer, monotonic, +

a(n)=4+n!
n≥0
4 operations
Combinatoric

Sequence 1hdd01bkpgb5p

6, 6, 3, 1, 0.25, 0.05, 0.0083333333, 0.0011904762, 0.0001488095, 0.0000165344, 0.0000016534, 0, 0, 0, 0, more...

decimal, monotonic, +

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

Sequence rsshuhqdishbd

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

integer, monotonic, +-

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

Sequence an0ssikeg4h3p

6, 6, 7, 11, 29, 125, 725, 5045, 40325, 362885, 3628805, 39916805, 479001605, 6227020805, 87178291205, more...

integer, monotonic, +

a(n)=5+n!
n≥0
4 operations
Combinatoric

Sequence sicm4gieszspn

6, 6, 12, 36, 144, 720, 4320, 30240, 241920, 2177280, 21772800, 239500800, 2874009600, 37362124800, more...

integer, monotonic, +

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

Sequence 4uagme14ogzxd

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

integer, strictly-monotonic, +

a(n)=(3+n)!
n≥0
4 operations
Combinatoric

Sequence urmpgoeqr0g3f

7, 7, 3.5, 1.1666666667, 0.2916666667, 0.0583333333, 0.0097222222, 0.0013888889, 0.0001736111, 0.0000192901, 0.000001929, 0, 0, 0, 0, more...

decimal, monotonic, +

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

Sequence ptuj5eeq0ps2m

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

integer, monotonic, +-

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

Sequence 2qfb42yswbdih

7, 7, 8, 12, 30, 126, 726, 5046, 40326, 362886, 3628806, 39916806, 479001606, 6227020806, 87178291206, more...

integer, monotonic, +

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

Sequence uckb2gbtr0qzh

7, 7, 14, 42, 168, 840, 5040, 35280, 282240, 2540160, 25401600, 279417600, 3353011200, 43589145600, more...

integer, monotonic, +

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

Sequence zm2wwmcai435f

8, 8, 4, 1.3333333333, 0.3333333333, 0.0666666667, 0.0111111111, 0.0015873016, 0.0001984127, 0.0000220459, 0.0000022046, 0, 0, 0, 0, more...

decimal, monotonic, +

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

Sequence 2iituq1o5ykmh

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

integer, monotonic, +-

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

Sequence id3fygsxyvw1c

8, 8, 9, 13, 31, 127, 727, 5047, 40327, 362887, 3628807, 39916807, 479001607, 6227020807, 87178291207, more...

integer, monotonic, +

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

Sequence cyb2j5l13x4yh

8, 8, 16, 48, 192, 960, 5760, 40320, 322560, 2903040, 29030400, 319334400, 3832012800, 49816166400, more...

integer, monotonic, +

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

Sequence gq2s1qk5qfeuc

9, 9, 4.5, 1.5, 0.375, 0.075, 0.0125, 0.0017857143, 0.0002232143, 0.0000248016, 0.0000024802, 0, 0, 0, 0, more...

decimal, monotonic, +

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

Sequence wpujq1e12xzin

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

integer, monotonic, +-

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

Sequence nqkjkirgzwish

9, 9, 10, 14, 32, 128, 728, 5048, 40328, 362888, 3628808, 39916808, 479001608, 6227020808, 87178291208, more...

integer, monotonic, +

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

Sequence fxwgb2v5u4lvj

9, 9, 18, 54, 216, 1080, 6480, 45360, 362880, 3265920, 32659200, 359251200, 4311014400, 56043187200, more...

integer, monotonic, +

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

Sequence zwsrpzvsrncdo

10, 10, 5, 1.6666666667, 0.4166666667, 0.0833333333, 0.0138888889, 0.001984127, 0.0002480159, 0.0000275573, 0.0000027557, 0, 0, 0, 0, more...

decimal, monotonic, +

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

Sequence uhgtspqiyvwlo

10, 10, 11, 15, 33, 129, 729, 5049, 40329, 362889, 3628809, 39916809, 479001609, 6227020809, 87178291209, more...

integer, monotonic, +

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

Sequence xa4xlhoyrv0ll

10, 10, 20, 60, 240, 1200, 7200, 50400, 403200, 3628800, 36288000, 399168000, 4790016000, 62270208000, more...

integer, monotonic, +

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

Sequence 4p5hpcdhtv3kf

11, 11, 12, 16, 34, 130, 730, 5050, 40330, 362890, 3628810, 39916810, 479001610, 6227020810, 87178291210, more...

integer, monotonic, +

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

Sequence djk5jvb3qzstk

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

integer, strictly-monotonic, +, A124657

a(n)=(4+n)!
n≥0
4 operations
Combinatoric

Sequence tsb4dkcpacndc

120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

a(n)=(5+n)!
n≥0
4 operations
Combinatoric

Sequence cvhyda5l5qtjh

720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

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

Sequence q5s2k5ykkcuah

5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

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

Sequence j5051mlca2zzh

40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

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

Sequence p1nb1t4gyvpfd

362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

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

Sequence 2qmgx5phiknwh

3628800, 39916800, 479001600, 6227020800, 87178291200, more...

integer, strictly-monotonic, +

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

Sequence zqha2v53mv3mf

0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=cf(n*a(n-1))
a(0)=1
cf(a)=characteristic function of a (in range)
n≥0
4 operations
Recursive
a(n)=cf(n!)
cf(a)=characteristic function of a (in range)
n≥0
3 operations
Combinatoric
a(n)=cf(∏(1+n))
∏(a)=partial products of a
cf(a)=characteristic function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=sqrt(cf(n*a(n-1)))
a(0)=1
cf(a)=characteristic function of a (in range)
n≥0
5 operations
Power
a(n)=cf(∏(Δ(∑(n))))
∑(a)=partial sums of a
Δ(a)=differences of a
∏(a)=partial products of a
cf(a)=characteristic function of a (in range)
n≥0
5 operations
Variable
a(n)=cf(2*σ(a(n-1)))
a(0)=1
σ(n)=divisor sum of n
cf(a)=characteristic function of a (in range)
n≥0
5 operations
Prime

Sequence ydhl01tyanqme

0, 1, 4, 18, 96, 600, 4320, 35280, 322560, 3265920, 36288000, 439084800, 5748019200, 80951270400, more...

integer, strictly-monotonic, +, A001563

a(n)=Δ(n!)
Δ(a)=differences of a
n≥0
3 operations
Combinatoric
a(n)=Δ(n*a(n-1))
a(0)=1
Δ(a)=differences of a
n≥0
4 operations
Recursive

Sequence bi5dw0ehzis1k

0, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp(n*a(n-1))
a(0)=1
comp(a)=complement function of a (in range)
n≥0
4 operations
Recursive
a(n)=comp(n!)
comp(a)=complement function of a (in range)
n≥0
3 operations
Combinatoric
a(n)=comp(∏(1+n))
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Arithmetic
a(n)=comp(sqrt(∏(n²)))
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥1
5 operations
Power
a(n)=comp(∏(Δ(∑(n))))
∑(a)=partial sums of a
Δ(a)=differences of a
∏(a)=partial products of a
comp(a)=complement function of a (in range)
n≥0
5 operations
Variable
a(n)=comp(2*σ(a(n-1)))
a(0)=1
σ(n)=divisor sum of n
comp(a)=complement function of a (in range)
n≥0
5 operations
Prime

Sequence lreplxb3eawwi

1, 1, 6, 720, 3628800, more...

integer, monotonic, +, A052295

a(n)=∑(n)!
∑(a)=partial sums of a
n≥0
3 operations
Combinatoric
a(n)=∑(comp(σ(a(n-1))))!
a(0)=5
σ(n)=divisor sum of n
comp(a)=complement function of a (in range)
∑(a)=partial sums of a
n≥0
5 operations
Prime

Sequence uxcprmigejo5m

1, 2, 4, 10, 34, 154, 874, 5914, 46234, 409114, 4037914, 43954714, 522956314, 6749977114, 93928268314, more...

integer, strictly-monotonic, +

a(n)=∑(n!)
∑(a)=partial sums of a
n≥0
3 operations
Combinatoric
a(n)=∑(n*a(n-1))
a(0)=1
∑(a)=partial sums of a
n≥0
4 operations
Recursive

Sequence q04rvzkjugcqn

-1, 0, 0, -3, -20, -115, -714, -5033, -40312, -362871, -3628790, -39916789, -479001588, -6227020787, -87178291186, more...

integer, non-monotonic, -

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

Sequence pukdqwdam1xg

1, 0, 0, 3, 20, 115, 714, 5033, 40312, 362871, 3628790, 39916789, 479001588, 6227020787, 87178291186, more...

integer, non-monotonic, +, A005096

a(n)=n!-n
n≥0
4 operations
Combinatoric
a(n)=(n-2+a(n-1))*n
a(0)=1
n≥0
7 operations
Recursive

Sequence fiimdlzqiclib

1, 2, 4, 9, 28, 125, 726, 5047, 40328, 362889, 3628810, 39916811, 479001612, 6227020813, 87178291214, more...

integer, strictly-monotonic, +, A005095

a(n)=n+n!
n≥0
4 operations
Combinatoric
a(n)=(2-n+a(n-1))*n
a(0)=1
n≥0
7 operations
Recursive

Sequence cyrhf4s2z4sdf

-1, -1, -4, -36, -576, -14400, -518400, -25401600, -1625702400, more...

integer, monotonic, -

a(n)=-n!²
n≥0
4 operations
Combinatoric

Sequence 3em5rkket555l

0, 1, 2, 6, 5040, more...

integer, strictly-monotonic, +

a(n)=(1+a(n-1))!
a(0)=0
n≥0
4 operations
Combinatoric
a(n)=gpf(1+a(n-1))!
a(0)=0
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence s4rr2ovq0ayqk

0, 2, 3, 7, 5041, more...

integer, strictly-monotonic, +

a(n)=1+a(n-1)!
a(0)=0
n≥0
4 operations
Combinatoric

Sequence 5r05vno4n0kxd

1, 2, 3, 7, 5041, more...

integer, strictly-monotonic, +

a(n)=1+a(n-1)!
a(0)=1
n≥0
4 operations
Combinatoric
a(n)=1+gpf(a(n-1))!
a(0)=1
gpf(n)=greatest prime factor of n
n≥0
5 operations
Prime

Sequence cg4fvsy4zs2t

0, 0, 0.6931471806, 1.7917594692, 3.1780538303, 4.7874917428, 6.579251212, 8.5251613611, 10.6046029027, 12.8018274801, 15.1044125731, 17.5023078459, 19.9872144957, 22.5521638531, 25.1912211827, more...

decimal, monotonic, +

a(n)=log(n!)
n≥0
3 operations
Combinatoric
a(n)=log(n*exp(a(n-1)))
a(0)=0
n≥0
5 operations
Power
a(n)=log(Ω(2^n)!)
Ω(n)=max factorization terms
n≥0
6 operations
Prime

Sequence kdol3wnbmxbtg

1, 1, 1.4142135624, 2.4494897428, 4.8989794856, 10.9544511501, 26.83281573, 70.9929573972, 200.7984063682, 602.3952191045, 1904.9409439665, 6317.9743589223, 21886.1051811418, 78911.4744508047, 295259.7012800765, more...

decimal, monotonic, +

a(n)=sqrt(n!)
n≥0
3 operations
Combinatoric
a(n)=sqrt(n*a(n-1)²)
a(0)=1
n≥0
5 operations
Power
a(n)=sqrt(Ω(2^n)!)
Ω(n)=max factorization terms
n≥0
6 operations
Prime

Sequence 1vgu3fyz4jtgi

1, 4, 36, 576, 14400, 518400, 25401600, 1625702400, more...

integer, strictly-monotonic, +

a(n)=∏(n²)
∏(a)=partial products of a
n≥1
3 operations
Arithmetic
a(n)=∏(1+a(n-1))²
a(0)=1
∏(a)=partial products of a
n≥0
5 operations
Recursive
a(n)=(1+n)!²
n≥0
5 operations
Combinatoric
a(n)=lcm(n, ∏(n²))
∏(a)=partial products of a
lcm(a,b)=least common multiple
n≥1
5 operations
Divisibility
a(n)=∏(sqrt(n^4))
∏(a)=partial products of a
n≥1
5 operations
Power

Sequence c0gcuhqk1pyzk

-1, -1, -1, -2, -2, -4, -12, -36, -36, more...

integer, monotonic, -

a(n)=-stern(n!)
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Combinatoric

Sequence um5gfkdztldmp

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

integer, non-monotonic, -

a(n)=-stern(n)!
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Combinatoric

Sequence 4oxojpptcxiyf

0, -1, -3, -9, -33, -153, -873, -5913, -46233, -409113, -4037913, -43954713, -522956313, -6749977113, -93928268313, more...

integer, strictly-monotonic, -

a(n)=a(n-1)-n!
a(0)=0
n≥0
4 operations
Combinatoric

Sequence bstrkehstpqql

0, 1, 1, 5, 19, 101, 619, 4421, 35899, 326981, 3301819, 36614981, 442386619, 5784634181, 81393657019, more...

integer, monotonic, +, A005165

a(n)=n!-a(n-1)
a(0)=0
n≥0
4 operations
Combinatoric
a(n)=n*(a(n-1)+a(n-2))-a(n-1)
a(0)=0
a(1)=1
n≥0
7 operations
Recursive

Sequence io1sg0nxihrxb

0, 1, 2, 6, 2880, more...

integer, strictly-monotonic, +, A114045

a(n)=n*a(n-1)!
a(0)=0
n≥0
4 operations
Combinatoric

Sequence il4oq4wiy2zlf

0, 1, 3, 9, 33, 153, 873, 5913, 46233, 409113, 4037913, 43954713, 522956313, 6749977113, 93928268313, more...

integer, strictly-monotonic, +, A007489

a(n)=n!+a(n-1)
a(0)=0
n≥0
4 operations
Combinatoric
a(n)=n*(a(n-1)-a(n-2))+a(n-1)
a(0)=0
a(1)=1
n≥0
7 operations
Recursive

Sequence cnp5thci123x

1, 0, -2, -8, -32, -152, -872, -5912, -46232, -409112, -4037912, -43954712, -522956312, -6749977112, -93928268312, more...

integer, strictly-monotonic, +-

a(n)=a(n-1)-n!
a(0)=1
n≥0
4 operations
Combinatoric
a(n)=n*(a(n-1)/n+a(n-1)-a(n-2))
a(0)=1
a(1)=0
n≥0
9 operations
Recursive

Sequence ausggpsyqy4oj

1, 0, 2, 4, 20, 100, 620, 4420, 35900, 326980, 3301820, 36614980, 442386620, 5784634180, 81393657020, more...

integer, non-monotonic, +

a(n)=n!-a(n-1)
a(0)=1
n≥0
4 operations
Combinatoric

Sequence eptyc3zuww4re

1, 1, 0.5, 0.0833333333, 0.0034722222, 0.0000289352, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

decimal, monotonic, +

a(n)=a(n-1)/n!
a(0)=1
n≥0
4 operations
Combinatoric
a(n)=a(n-1)/(n/(a(n-1)/a(n-2)))
a(0)=1
a(1)=1
n≥0
7 operations
Recursive

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