Sequence Database

A database with 1956199 machine generated integer and decimal sequences.

Displaying result 0-99 of total 54636. [0] [1] [2] [3] [4] ... [546]

Sequence fgxbahcl0w5q

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, monotonic, +, A000142

a(n)=n!
n≥0
2 operations
Combinatoric
a(n)=n*a(n-1)
a(0)=1
n≥0
3 operations
Recursive
a(n)=∏[C(n, a(n-1))]
a(0)=1
C(n,k)=binomial coefficient
∏(a)=partial products of a
n≥0
4 operations
Combinatoric
a(n)=lcm(n!, a(n-1))
a(0)=1
lcm(a,b)=least common multiple
n≥0
4 operations
Combinatoric
a(n)=n*lcm(a(n-1), a(n-2))
a(0)=1
a(1)=1
lcm(a,b)=least common multiple
n≥0
5 operations
Recursive

Sequence 0dndnbzf4olfo

-1, -1, -2, -6, -24, -120, -720, -5040, -40320, -362880, -3628800, -39916800, -479001600, -6227020800, -87178291200, -1307674368000, -20922789888000, -355687428096000, more...

integer, monotonic, -

a(n)=-n!
n≥0
3 operations
Combinatoric
a(n)=-∏[C(n, a(n-1))]
a(0)=1
C(n,k)=binomial coefficient
∏(a)=partial products of a
n≥0
5 operations
Combinatoric
a(n)=∏[floor(n-2/n)]
∏(a)=partial products of a
n≥1
7 operations
Arithmetic

Sequence yqstpzrfznezi

2, 2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, 2615348736000, 41845579776000, 711374856192000, 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)=lcm(a(n-1), n*a(n-1))
a(0)=2
lcm(a,b)=least common multiple
n≥0
5 operations
Recursive
a(n)=n*lcm(a(n-1), a(n-2))
a(0)=2
a(1)=2
lcm(a,b)=least common multiple
n≥0
5 operations
Recursive
a(n)=∏[∑[μ(abs(a(n-1)))]]
a(0)=2
μ(n)=Möbius function
∑(a)=partial sums of a
∏(a)=partial products of a
n≥0
5 operations
Prime

Sequence 1jfgyqjcruwzc

3, 3, 6, 18, 72, 360, 2160, 15120, 120960, 1088640, 10886400, 119750400, 1437004800, 18681062400, 261534873600, 3923023104000, 62768369664000, 1067062284288000, 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-C(n, a(n-1)))*a(n-1)
a(0)=3
C(n,k)=binomial coefficient
n≥0
7 operations
Combinatoric

Sequence zl3jamwndfatc

4, 4, 8, 24, 96, 480, 2880, 20160, 161280, 1451520, 14515200, 159667200, 1916006400, 24908083200, 348713164800, 5230697472000, 83691159552000, 1422749712384000, 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

Sequence fldaj4kzob5xi

5, 5, 10, 30, 120, 600, 3600, 25200, 201600, 1814400, 18144000, 199584000, 2395008000, 31135104000, 435891456000, 6538371840000, 104613949440000, 1778437140480000, 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

Sequence isywaub0zgg5g

-9, -9, -8, -4, 14, 110, 710, 5030, 40310, 362870, 3628790, 39916790, 479001590, 6227020790, 87178291190, 1307674367990, 20922789887990, 355687428095990, more...

integer, monotonic, +-

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

Sequence xwzdh5ho33ygd

-8, -8, -7, -3, 15, 111, 711, 5031, 40311, 362871, 3628791, 39916791, 479001591, 6227020791, 87178291191, 1307674367991, 20922789887991, 355687428095991, more...

integer, monotonic, +-

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

Sequence jygvpgkd5lvjd

-7, -7, -6, -2, 16, 112, 712, 5032, 40312, 362872, 3628792, 39916792, 479001592, 6227020792, 87178291192, 1307674367992, 20922789887992, 355687428095992, more...

integer, monotonic, +-

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

Sequence yi5tw10jnzap

-6, -6, -5, -1, 17, 113, 713, 5033, 40313, 362873, 3628793, 39916793, 479001593, 6227020793, 87178291193, 1307674367993, 20922789887993, 355687428095993, more...

integer, monotonic, +-

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

Sequence lvtamyjacrc1n

-5, -5, -4, 0, 18, 114, 714, 5034, 40314, 362874, 3628794, 39916794, 479001594, 6227020794, 87178291194, 1307674367994, 20922789887994, 355687428095994, more...

integer, monotonic, +-

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

Sequence mqwgn32it31co

-4, -4, -3, 1, 19, 115, 715, 5035, 40315, 362875, 3628795, 39916795, 479001595, 6227020795, 87178291195, 1307674367995, 20922789887995, 355687428095995, more...

integer, monotonic, +-

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

Sequence hw0putlyvihzb

-3, -3, -2, 2, 20, 116, 716, 5036, 40316, 362876, 3628796, 39916796, 479001596, 6227020796, 87178291196, 1307674367996, 20922789887996, 355687428095996, more...

integer, monotonic, +-

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

Sequence wznmiem4d0oii

-2, -2, -1, 3, 21, 117, 717, 5037, 40317, 362877, 3628797, 39916797, 479001597, 6227020797, 87178291197, 1307674367997, 20922789887997, 355687428095997, more...

integer, monotonic, +-

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

Sequence xeseme2phwadb

-1, -1, 0, 4, 22, 118, 718, 5038, 40318, 362878, 3628798, 39916798, 479001598, 6227020798, 87178291198, 1307674367998, 20922789887998, 355687428095998, more...

integer, monotonic, +-, A261193

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

Sequence rlxtdfau54vrn

0, 0, -1, -5, -23, -119, -719, -5039, -40319, -362879, -3628799, -39916799, -479001599, -6227020799, -87178291199, -1307674367999, -20922789887999, -355687428095999, more...

integer, monotonic, -

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

Sequence guksyedorvujb

0, 0, 1, 5, 23, 119, 719, 5039, 40319, 362879, 3628799, 39916799, 479001599, 6227020799, 87178291199, 1307674367999, 20922789887999, 355687428095999, more...

integer, monotonic, +, A033312

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

Sequence xgxwuynbeoqoc

0.1, 0.1, 0.2, 0.6, 2.4, 12, 72, 504, 4032, 36288, 362880, 3991680, 47900160, 622702080, 8717829120, 130767436800, 2092278988800, 35568742809600, more...

decimal, monotonic, +

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

Sequence x3xsowwuzx3jh

0.1111111111111111, 0.1111111111111111, 0.2222222222222222, 0.6666666666666666, 2.6666666666666665, 13.333333333333334, 80, 560, 4480, 40320, 403200, 4435200, 53222400, 691891200, 9686476800, 145297152000, 2324754432000, 39520825344000, more...

decimal, monotonic, +

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

Sequence vgiuenc5esupc

0.125, 0.125, 0.25, 0.75, 3, 15, 90, 630, 5040, 45360, 453600, 4989600, 59875200, 778377600, 10897286400, 163459296000, 2615348736000, 44460928512000, more...

decimal, monotonic, +

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

Sequence hgoq5rwff1cdh

0.14285714285714285, 0.14285714285714285, 0.2857142857142857, 0.8571428571428571, 3.4285714285714284, 17.142857142857142, 102.85714285714286, 720, 5760, 51840, 518400, 5702400, 68428800, 889574400, 12454041600, 186810624000, 2988969984000, 50812489728000, more...

decimal, monotonic, +

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

Sequence leb2pqd2xqvzc

0.16666666666666666, 0.16666666666666666, 0.3333333333333333, 1, 4, 20, 120, 840, 6720, 60480, 604800, 6652800, 79833600, 1037836800, 14529715200, 217945728000, 3487131648000, 59281238016000, more...

decimal, monotonic, +

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

Sequence aoiqbpstgq0jf

0.2, 0.2, 0.4, 1.2, 4.8, 24, 144, 1008, 8064, 72576, 725760, 7983360, 95800320, 1245404160, 17435658240, 261534873600, 4184557977600, 71137485619200, more...

decimal, monotonic, +

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

Sequence vjyn4aaapdgj

0.25, 0.25, 0.5, 1.5, 6, 30, 180, 1260, 10080, 90720, 907200, 9979200, 119750400, 1556755200, 21794572800, 326918592000, 5230697472000, 88921857024000, more...

decimal, monotonic, +

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

Sequence zpjkkesgyvbkm

0.3333333333333333, 0.3333333333333333, 0.6666666666666666, 2, 8, 40, 240, 1680, 13440, 120960, 1209600, 13305600, 159667200, 2075673600, 29059430400, 435891456000, 6974263296000, 118562476032000, more...

decimal, monotonic, +

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

Sequence j31oezz1itxuk

0.5, 0.5, 1, 3, 12, 60, 360, 2520, 20160, 181440, 1814400, 19958400, 239500800, 3113510400, 43589145600, 653837184000, 10461394944000, 177843714048000, more...

decimal, monotonic, +

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

Sequence u1kslvneqk5gg

1, 1, 0, -4, -22, -118, -718, -5038, -40318, -362878, -3628798, -39916798, -479001598, -6227020798, -87178291198, -1307674367998, -20922789887998, -355687428095998, more...

integer, monotonic, +-

a(n)=2-n!
n≥0
4 operations
Combinatoric
a(n)=a(n-1)-Δ[n*a(n-1)]
a(0)=1
Δ(a)=differences of a
n≥0
6 operations
Recursive

Sequence kbsd4ktizo42g

1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence 5rxvdvyt5lrah

1, 2, 24, 720, 40320, 3628800, 479001600, 87178291200, 20922789888000, more...

integer, strictly-monotonic, +, A010050

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

Sequence oq3da0zwxb0ch

1, 6, 720, 362880, 479001600, 1307674368000, more...

integer, strictly-monotonic, +, A100732

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

Sequence 0sx4uiomvyf4m

1, 24, 40320, 479001600, 20922789888000, more...

integer, strictly-monotonic, +, A100733

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

Sequence jrpdicpruzuqc

2, 2, 1, -3, -21, -117, -717, -5037, -40317, -362877, -3628797, -39916797, -479001597, -6227020797, -87178291197, -1307674367997, -20922789887997, -355687428095997, more...

integer, monotonic, +-

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

Sequence hduyidgbeqk3o

2, 2, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 1307674368001, 20922789888001, 355687428096001, more...

integer, monotonic, +, A038507

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

Sequence 3gt3radxcywuf

2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence 5hyeddxeuhkt

3, 3, 2, -2, -20, -116, -716, -5036, -40316, -362876, -3628796, -39916796, -479001596, -6227020796, -87178291196, -1307674367996, -20922789887996, -355687428095996, more...

integer, monotonic, +-

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

Sequence igeky4lbibrsc

3, 3, 4, 8, 26, 122, 722, 5042, 40322, 362882, 3628802, 39916802, 479001602, 6227020802, 87178291202, 1307674368002, 20922789888002, 355687428096002, more...

integer, monotonic, +

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

Sequence fera4eh3fks1n

4, 4, 3, -1, -19, -115, -715, -5035, -40315, -362875, -3628795, -39916795, -479001595, -6227020795, -87178291195, -1307674367995, -20922789887995, -355687428095995, more...

integer, monotonic, +-

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

Sequence k20d4hf3vaavc

4, 4, 5, 9, 27, 123, 723, 5043, 40323, 362883, 3628803, 39916803, 479001603, 6227020803, 87178291203, 1307674368003, 20922789888003, 355687428096003, more...

integer, monotonic, +

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

Sequence 5qvei4agaw13g

5, 5, 4, 0, -18, -114, -714, -5034, -40314, -362874, -3628794, -39916794, -479001594, -6227020794, -87178291194, -1307674367994, -20922789887994, -355687428095994, more...

integer, monotonic, +-

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

Sequence a23gnnaamdejn

5, 5, 6, 10, 28, 124, 724, 5044, 40324, 362884, 3628804, 39916804, 479001604, 6227020804, 87178291204, 1307674368004, 20922789888004, 355687428096004, more...

integer, monotonic, +

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

Sequence yvprc4oqmoasd

6, 6, 3, 1, 0.25, 0.05, 0.008333333333333333, 0.001190476190476191, 0.000148809523809524, 0.000016534391534392, 0.000001653439153439, 0.000000150312650313, 0.000000012526054193, 0.00000000096354263, 0.000000000068824474, 0.000000000004588298, 0.000000000000286769, 0.000000000000016869, more...

decimal, monotonic, +

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

Sequence hl3iy4kpbs3hm

6, 6, 5, 1, -17, -113, -713, -5033, -40313, -362873, -3628793, -39916793, -479001593, -6227020793, -87178291193, -1307674367993, -20922789887993, -355687428095993, more...

integer, monotonic, +-

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

Sequence 24qltlqbrrbuf

6, 6, 7, 11, 29, 125, 725, 5045, 40325, 362885, 3628805, 39916805, 479001605, 6227020805, 87178291205, 1307674368005, 20922789888005, 355687428096005, more...

integer, monotonic, +

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

Sequence dbw0523tiacdl

6, 6, 12, 36, 144, 720, 4320, 30240, 241920, 2177280, 21772800, 239500800, 2874009600, 37362124800, 523069747200, 7846046208000, 125536739328000, 2134124568576000, more...

integer, monotonic, +

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

Sequence 4rx5scaar0adb

6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

a(n)=(3+n)!
n≥0
4 operations
Combinatoric
a(n)=2*∏[3+n]
∏(a)=partial products of a
n≥0
6 operations
Arithmetic

Sequence 00ulpqtbijubf

7, 7, 3.5, 1.1666666666666667, 0.2916666666666667, 0.058333333333333334, 0.009722222222222222, 0.001388888888888889, 0.000173611111111111, 0.00001929012345679, 0.000001929012345679, 0.000000175364758698, 0.000000014613729892, 0.000000001124133069, 0.000000000080295219, 0.000000000005353015, 0.000000000000334563, 0.00000000000001968, more...

decimal, monotonic, +

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

Sequence utm20yi3sxote

7, 7, 6, 2, -16, -112, -712, -5032, -40312, -362872, -3628792, -39916792, -479001592, -6227020792, -87178291192, -1307674367992, -20922789887992, -355687428095992, more...

integer, monotonic, +-

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

Sequence 3l3sfnawc3mzp

7, 7, 8, 12, 30, 126, 726, 5046, 40326, 362886, 3628806, 39916806, 479001606, 6227020806, 87178291206, 1307674368006, 20922789888006, 355687428096006, more...

integer, monotonic, +

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

Sequence in0brol3jjplm

7, 7, 14, 42, 168, 840, 5040, 35280, 282240, 2540160, 25401600, 279417600, 3353011200, 43589145600, 610248038400, 9153720576000, 146459529216000, 2489811996672000, more...

integer, monotonic, +

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

Sequence fluk3svpwfvmi

8, 8, 4, 1.3333333333333333, 0.3333333333333333, 0.06666666666666667, 0.011111111111111112, 0.001587301587301587, 0.000198412698412698, 0.000022045855379189, 0.000002204585537919, 0.000000200416867084, 0.00000001670140559, 0.000000001284723507, 0.000000000091765965, 0.000000000006117731, 0.000000000000382358, 0.000000000000022492, more...

decimal, monotonic, +

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

Sequence ppkgfi43m54th

8, 8, 7, 3, -15, -111, -711, -5031, -40311, -362871, -3628791, -39916791, -479001591, -6227020791, -87178291191, -1307674367991, -20922789887991, -355687428095991, more...

integer, monotonic, +-

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

Sequence l5je2q1sxu5fo

8, 8, 9, 13, 31, 127, 727, 5047, 40327, 362887, 3628807, 39916807, 479001607, 6227020807, 87178291207, 1307674368007, 20922789888007, 355687428096007, more...

integer, monotonic, +

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

Sequence gnvfagmq52fmg

8, 8, 16, 48, 192, 960, 5760, 40320, 322560, 2903040, 29030400, 319334400, 3832012800, 49816166400, 697426329600, 10461394944000, 167382319104000, 2845499424768000, more...

integer, monotonic, +

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

Sequence pdkznl20qxsvj

9, 9, 4.5, 1.5, 0.375, 0.075, 0.0125, 0.001785714285714286, 0.000223214285714286, 0.000024801587301587, 0.000002480158730159, 0.000000225468975469, 0.000000018789081289, 0.000000001445313945, 0.00000000010323671, 0.000000000006882447, 0.000000000000430153, 0.000000000000025303, more...

decimal, monotonic, +

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

Sequence sjn0atq1oygqb

9, 9, 8, 4, -14, -110, -710, -5030, -40310, -362870, -3628790, -39916790, -479001590, -6227020790, -87178291190, -1307674367990, -20922789887990, -355687428095990, more...

integer, monotonic, +-

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

Sequence vobscus5opwqi

9, 9, 10, 14, 32, 128, 728, 5048, 40328, 362888, 3628808, 39916808, 479001608, 6227020808, 87178291208, 1307674368008, 20922789888008, 355687428096008, more...

integer, monotonic, +

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

Sequence m3poyjq2lax5e

9, 9, 18, 54, 216, 1080, 6480, 45360, 362880, 3265920, 32659200, 359251200, 4311014400, 56043187200, 784604620800, 11769069312000, 188305108992000, 3201186852864000, more...

integer, monotonic, +

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

Sequence x4ykoezvze5np

10, 10, 5, 1.6666666666666667, 0.4166666666666667, 0.08333333333333333, 0.013888888888888888, 0.001984126984126984, 0.000248015873015873, 0.000027557319223986, 0.000002755731922399, 0.000000250521083854, 0.000000020876756988, 0.000000001605904384, 0.000000000114707456, 0.000000000007647164, 0.000000000000477948, 0.000000000000028115, more...

decimal, monotonic, +

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

Sequence nrsqhmzsyr5rk

10, 10, 11, 15, 33, 129, 729, 5049, 40329, 362889, 3628809, 39916809, 479001609, 6227020809, 87178291209, 1307674368009, 20922789888009, 355687428096009, more...

integer, monotonic, +

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

Sequence zhek5ujtfshjn

10, 10, 20, 60, 240, 1200, 7200, 50400, 403200, 3628800, 36288000, 399168000, 4790016000, 62270208000, 871782912000, 13076743680000, 209227898880000, 3556874280960000, more...

integer, monotonic, +

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

Sequence jkjw4ekliaz3

11, 11, 12, 16, 34, 130, 730, 5050, 40330, 362890, 3628810, 39916810, 479001610, 6227020810, 87178291210, 1307674368010, 20922789888010, 355687428096010, more...

integer, monotonic, +

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

Sequence emrgcpyuzxsxj

24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +, A124657

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

Sequence nw4bpdkxepkml

120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence j3vwgeocs2lge

720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence oaratrfmdyoxk

5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence m5sqnjv2tce2c

40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence 2hv3rpeixku5p

362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence 50rmbyvhqwehp

3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, more...

integer, strictly-monotonic, +

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

Sequence mrgahlxnpdoxc

-1, 0, 0, -3, -20, -115, -714, -5033, -40312, -362871, -3628790, -39916789, -479001588, -6227020787, -87178291186, -1307674367985, -20922789887984, -355687428095983, more...

integer, non-monotonic, -

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

Sequence 510vujpxstwso

0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(8, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence hqfozujgxp2ph

0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(2, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence gmcdte1mmiyke

0, 0, 2, 2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(10, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence hn021xtv3trsh

0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(6, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence tlld42qultaxn

0, 0, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 1307674368001, 20922789888001, 355687428096001, more...

integer, monotonic, +

a(n)=xor(1, n!)
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence 401zxywtfncik

1, 0, 0, 3, 20, 115, 714, 5033, 40312, 362871, 3628790, 39916789, 479001588, 6227020787, 87178291186, 1307674367985, 20922789887984, 355687428095983, more...

integer, non-monotonic, +, A005096

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

Sequence rcyxyin5ttbhn

1, 1, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, more...

integer, non-monotonic, +

a(n)=and(9, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence o2qztqm4ccxbg

1, 1, 1, 1, 1, 1, 1, 1, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 1, 1, 1, 1, 1, 1, 1, 1, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 1, 1, 1, 1, 1, 1, 1, 1, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 40320, 1, 1, more...

integer, periodic-16, non-monotonic, +

a(n)=and(8, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence l4sm2h0kaxgdo

1, 1, 1, 1, 1, 1, 1, 1, 40320, 362880, 40320, 362880, 40320, 362880, 40320, 362880, 1, 1, 1, 1, 1, 1, 1, 1, 40320, 362880, 40320, 362880, 40320, 362880, 40320, 362880, 1, 1, 1, 1, 1, 1, 1, 1, 40320, 362880, 40320, 362880, 40320, 362880, 40320, 362880, 1, 1, more...

integer, periodic-16, non-monotonic, +

a(n)=and(9, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence dbr4tam5nxvjh

1, 1, 1, 1, 24, 24, 24, 24, 1, 1, 1, 1, 24, 24, 24, 24, 1, 1, 1, 1, 24, 24, 24, 24, 1, 1, 1, 1, 24, 24, 24, 24, 1, 1, 1, 1, 24, 24, 24, 24, 1, 1, 1, 1, 24, 24, 24, 24, 1, 1, more...

integer, periodic-8, non-monotonic, +

a(n)=and(4, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence kvzmlffhahckb

1, 1, 1, 1, 24, 120, 24, 120, 1, 1, 1, 1, 24, 120, 24, 120, 1, 1, 1, 1, 24, 120, 24, 120, 1, 1, 1, 1, 24, 120, 24, 120, 1, 1, 1, 1, 24, 120, 24, 120, 1, 1, 1, 1, 24, 120, 24, 120, 1, 1, more...

integer, periodic-8, non-monotonic, +

a(n)=and(5, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence 42rrqxs1waavk

1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, more...

integer, periodic-4, non-monotonic, +, A130658

a(n)=and(2, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence f4qu3stq1svbj

1, 1, 2, 2, 1, 1, 2, 2, 40320, 40320, 3628800, 3628800, 40320, 40320, 3628800, 3628800, 1, 1, 2, 2, 1, 1, 2, 2, 40320, 40320, 3628800, 3628800, 40320, 40320, 3628800, 3628800, 1, 1, 2, 2, 1, 1, 2, 2, 40320, 40320, 3628800, 3628800, 40320, 40320, 3628800, 3628800, 1, 1, more...

integer, periodic-16, non-monotonic, +

a(n)=and(10, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence rw3t41bzrqcrp

1, 1, 2, 2, 24, 24, 720, 720, 1, 1, 2, 2, 24, 24, 720, 720, 1, 1, 2, 2, 24, 24, 720, 720, 1, 1, 2, 2, 24, 24, 720, 720, 1, 1, 2, 2, 24, 24, 720, 720, 1, 1, 2, 2, 24, 24, 720, 720, 1, 1, more...

integer, periodic-8, non-monotonic, +

a(n)=and(6, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence oteydkgyreaqn

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

integer, non-monotonic, +

a(n)=and(7, n!)
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric
a(n)=n!%8
n≥0
4 operations
Combinatoric

Sequence chro1kqktd3nn

1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, 2, 6, 1, 1, more...

integer, periodic-4, non-monotonic, +

a(n)=and(3, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence xngf0jhu3ek2o

1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, 2, 6, 24, 120, 720, 5040, 1, 1, more...

integer, periodic-8, non-monotonic, +

a(n)=and(7, n)!
and(a,b)=bitwise and
n≥0
4 operations
Combinatoric

Sequence afn01drca5jpo

1, 1, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 1307674368001, 20922789888001, 355687428096001, more...

integer, monotonic, +

a(n)=or(1, n!)
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence pzs1xzccerrul

1, 1, 6, 2, 120, 24, 5040, 720, 362880, 40320, 39916800, 3628800, 6227020800, 479001600, 1307674368000, 87178291200, 355687428096000, 20922789888000, more...

integer, non-monotonic, +

a(n)=xor(1, n)!
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence px5zfepxclask

1, 1, 6, 6, 120, 120, 5040, 5040, 362880, 362880, 39916800, 39916800, 6227020800, 6227020800, 1307674368000, 1307674368000, 355687428096000, 355687428096000, more...

integer, monotonic, +

a(n)=or(1, n)!
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence fnbzws1kflcto

1, 2, 4, 9, 28, 125, 726, 5047, 40328, 362889, 3628810, 39916811, 479001612, 6227020813, 87178291214, 1307674368015, 20922789888016, 355687428096017, more...

integer, strictly-monotonic, +, A005095

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

Sequence kiqkclvitthjp

2, 2, 1, 5, 27, 123, 723, 5043, 40323, 362883, 3628803, 39916803, 479001603, 6227020803, 87178291203, 1307674368003, 20922789888003, 355687428096003, more...

integer, non-monotonic, +

a(n)=xor(3, n!)
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence t33tn02ylsdsn

2, 6, 1, 1, 720, 5040, 24, 120, 3628800, 39916800, 40320, 362880, 87178291200, 1307674368000, 479001600, 6227020800, more...

integer, non-monotonic, +

a(n)=xor(2, n)!
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence e5tm0cmy1qhgn

2, 6, 2, 6, 720, 5040, 720, 5040, 3628800, 39916800, 3628800, 39916800, 87178291200, 1307674368000, 87178291200, 1307674368000, more...

integer, non-monotonic, +

a(n)=or(2, n)!
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence hqemle1w32wi

3, 3, 0, 4, 26, 122, 722, 5042, 40322, 362882, 3628802, 39916802, 479001602, 6227020802, 87178291202, 1307674368002, 20922789888002, 355687428096002, more...

integer, non-monotonic, +

a(n)=xor(2, n!)
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence ok23bfihddg2m

3, 3, 2, 6, 26, 122, 722, 5042, 40322, 362882, 3628802, 39916802, 479001602, 6227020802, 87178291202, 1307674368002, 20922789888002, 355687428096002, more...

integer, non-monotonic, +

a(n)=or(2, n!)
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence wnpturqlk53nn

3, 3, 3, 7, 27, 123, 723, 5043, 40323, 362883, 3628803, 39916803, 479001603, 6227020803, 87178291203, 1307674368003, 20922789888003, 355687428096003, more...

integer, monotonic, +

a(n)=or(3, n!)
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence r34g1asjjw2we

4, 4, 7, 3, 29, 125, 725, 5045, 40325, 362885, 3628805, 39916805, 479001605, 6227020805, 87178291205, 1307674368005, 20922789888005, 355687428096005, more...

integer, non-monotonic, +

a(n)=xor(5, n!)
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence vs3rpnaekgh5m

5, 5, 6, 2, 28, 124, 724, 5044, 40324, 362884, 3628804, 39916804, 479001604, 6227020804, 87178291204, 1307674368004, 20922789888004, 355687428096004, more...

integer, non-monotonic, +

a(n)=xor(4, n!)
xor(a,b)=bitwise exclusive or
n≥0
4 operations
Combinatoric

Sequence qptpoxxnkxrhi

5, 5, 6, 6, 28, 124, 724, 5044, 40324, 362884, 3628804, 39916804, 479001604, 6227020804, 87178291204, 1307674368004, 20922789888004, 355687428096004, more...

integer, monotonic, +

a(n)=or(4, n!)
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

Sequence gtnbcmg02fowp

5, 5, 7, 7, 29, 125, 725, 5045, 40325, 362885, 3628805, 39916805, 479001605, 6227020805, 87178291205, 1307674368005, 20922789888005, 355687428096005, more...

integer, monotonic, +

a(n)=or(5, n!)
or(a,b)=bitwise or
n≥0
4 operations
Combinatoric

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