Sequence Database

A database with 951925 machine generated integer and decimal sequences.

Displaying result 0-99 of total 6873. [0] [1] [2] [3] [4] ... [68]

Sequence buqmnzuccjoq

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, 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, constant, monotonic, A000004

a(n)=a(n-1)
a(0)=0
n≥0
1 operation
Recursive

Sequence 42rfwqvyrnhlj

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 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, more...

integer, strictly-monotonic, +, A001477

a(n)=n
n≥0
1 operation
Variable
a(n)=1+a(n-1)
a(0)=0
n≥0
3 operations
Recursive
a(n)=n%50
n≥0
3 operations
Divisibility
a(n)=(2-1)*n
n≥0
5 operations
Arithmetic
a(n)=n^(2-1)
n≥0
5 operations
Power
a(n)=C(n, a(n-1))
a(0)=0
C(n,k)=binomial coefficient
n≥0
3 operations
Combinatoric
a(n)=∑(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
3 operations
Prime
a(n)=∑(ceil(cos(a(n-1))))
a(0)=0
∑(a)=partial sums of a
n≥0
4 operations
Trigonometric

Sequence iedutimqca4hj

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, constant, monotonic, +, A000012

a(n)=1
n≥0
1 operation
Constant

Sequence 12b2eijt5ce1

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

integer, constant, monotonic, +, A007395

a(n)=2
n≥0
1 operation
Constant

Sequence r3uvz0sbfskrc

3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, more...

integer, constant, monotonic, +, A010701

a(n)=3
n≥0
1 operation
Constant

Sequence l3blvyhyblxbb

4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, more...

integer, constant, monotonic, +, A010709

a(n)=4
n≥0
1 operation
Constant

Sequence 4cm5dwbtkwq5k

5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, more...

integer, constant, monotonic, +, A010716

a(n)=5
n≥0
1 operation
Constant

Sequence vtxodrzjc5ypl

6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, more...

integer, constant, monotonic, +, A010722

a(n)=6
n≥0
1 operation
Constant

Sequence fcxkjuwyohhvf

7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, more...

integer, constant, monotonic, +, A010727

a(n)=7
n≥0
1 operation
Constant

Sequence 10jbss5hcmnng

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

integer, constant, monotonic, +, A010731

a(n)=8
n≥0
1 operation
Constant

Sequence ydzuoyqazcdrm

9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, more...

integer, constant, monotonic, +, A010734

a(n)=9
n≥0
1 operation
Constant

Sequence 04xefn3pd5y5h

10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, more...

integer, constant, monotonic, +, A010692

a(n)=10
n≥0
1 operation
Constant

Sequence fpodztvabvsvh

11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, more...

integer, constant, monotonic, +, A010850

a(n)=11
n≥0
1 operation
Constant

Sequence utaz3llqiadsf

12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, more...

integer, constant, monotonic, +, A010851

a(n)=12
n≥0
1 operation
Constant

Sequence xqyqh0xih2prj

13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, more...

integer, constant, monotonic, +, A010852

a(n)=13
n≥0
1 operation
Constant

Sequence pxidlob4kruuc

14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, more...

integer, constant, monotonic, +, A010853

a(n)=14
n≥0
1 operation
Constant

Sequence urfeulozsm4nf

15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, more...

integer, constant, monotonic, +, A010854

a(n)=15
n≥0
1 operation
Constant

Sequence sbuglkutyx2re

16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, more...

integer, constant, monotonic, +, A010855

a(n)=16
n≥0
1 operation
Constant

Sequence dqda5psu33qbc

17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, more...

integer, constant, monotonic, +, A010856

a(n)=17
n≥0
1 operation
Constant

Sequence ch1vz2fmhzmkm

18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, more...

integer, constant, monotonic, +, A010857

a(n)=18
n≥0
1 operation
Constant

Sequence beskxprrs0sgo

19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, more...

integer, constant, monotonic, +, A010858

a(n)=19
n≥0
1 operation
Constant

Sequence ekmxchncwvirg

20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, more...

integer, constant, monotonic, +, A010859

a(n)=20
n≥0
1 operation
Constant

Sequence arxhrhxtzwpfm

21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, more...

integer, constant, monotonic, +, A010860

a(n)=21
n≥0
1 operation
Constant

Sequence fyl3b044zl3bh

22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, more...

integer, constant, monotonic, +, A010861

a(n)=22
n≥0
1 operation
Constant

Sequence oug3wskx3rbej

23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, more...

integer, constant, monotonic, +, A010862

a(n)=23
n≥0
1 operation
Constant

Sequence tozgp5uv1g05d

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

integer, constant, monotonic, +, A010863

a(n)=24
n≥0
1 operation
Constant

Sequence 2m4u00s4dwtdl

25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, more...

integer, constant, monotonic, +, A010864

a(n)=25
n≥0
1 operation
Constant

Sequence as4ccqhsaua5f

26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, more...

integer, constant, monotonic, +, A010865

a(n)=26
n≥0
1 operation
Constant

Sequence fr5etp5rlhnkc

27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, more...

integer, constant, monotonic, +, A010866

a(n)=27
n≥0
1 operation
Constant

Sequence 144o51fhhpyum

28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, more...

integer, constant, monotonic, +, A010867

a(n)=28
n≥0
1 operation
Constant

Sequence lm2kb3qbtfinh

29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, more...

integer, constant, monotonic, +, A010868

a(n)=29
n≥0
1 operation
Constant

Sequence gjncl3rdgskti

30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, more...

integer, constant, monotonic, +, A010869

a(n)=30
n≥0
1 operation
Constant

Sequence hkl0flz0lkini

31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, more...

integer, constant, monotonic, +, A010870

a(n)=31
n≥0
1 operation
Constant

Sequence aiq4mjqlzle2b

32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, more...

integer, constant, monotonic, +, A010871

a(n)=32
n≥0
1 operation
Constant

Sequence cwmnmszbtzdpf

91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, more...

integer, constant, monotonic, +, A103847

a(n)=91
n≥0
1 operation
Constant

Sequence dgbv3olkf3toh

0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -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, more...

integer, strictly-monotonic, -, A001489

a(n)=-n
n≥0
2 operations
Arithmetic
a(n)=a(n-1)-1
a(0)=0
n≥0
3 operations
Recursive
a(n)=(1-n)%n
n≥1
5 operations
Divisibility
a(n)=-sqrt(n*n)
n≥0
5 operations
Power
a(n)=-C(n, -a(n-1))
a(0)=0
C(n,k)=binomial coefficient
n≥0
5 operations
Combinatoric
a(n)=λ(n²)-n
λ(n)=Liouville's function
n≥1
5 operations
Prime

Sequence ub3tktmvdthvj

0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 2, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 3, more...

integer, non-monotonic, +, A001222

a(n)=Ω(n)
Ω(n)=max factorization terms
n≥1
2 operations
Prime

Sequence tedqmvzugfstb

0, 1, 1, 2, 1, 3, 2, 3, 1, 4, 3, 5, 2, 5, 3, 4, 1, 5, 4, 7, 3, 8, 5, 7, 2, 7, 5, 8, 3, 7, 4, 5, 1, 6, 5, 9, 4, 11, 7, 10, 3, 11, 8, 13, 5, 12, 7, 9, 2, 9, more...

integer, non-monotonic, +, A002487

a(n)=stern(n)
stern(n)=Stern-Brocot sequence
n≥0
2 operations
Recursive
a(n)=stern(lcm(n, 2))
lcm(a,b)=least common multiple
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Divisibility
a(n)=stern(sqrt(n*n))
stern(n)=Stern-Brocot sequence
n≥0
5 operations
Power
a(n)=stern(∑(a(n-1)!))
a(0)=0
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Combinatoric
a(n)=stern(∑(agc(a(n-1))))
a(0)=0
agc(n)=number of factorizations into prime powers (abelian group count)
∑(a)=partial sums of a
stern(n)=Stern-Brocot sequence
n≥0
4 operations
Prime

Sequence vtsqmvu022mjo

0, 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, 1225, more...

integer, strictly-monotonic, +, A000217

a(n)=∑(n)
∑(a)=partial sums of a
n≥0
2 operations
Variable
a(n)=n+a(n-1)
a(0)=0
n≥0
3 operations
Recursive
a(n)=-∑(-n)
∑(a)=partial sums of a
n≥0
4 operations
Arithmetic
a(n)=∑(gcd(n, n²))
gcd(a,b)=greatest common divisor
∑(a)=partial sums of a
n≥0
5 operations
Divisibility
a(n)=∑(sqrt(n*n))
∑(a)=partial sums of a
n≥0
5 operations
Power
a(n)=∑(C(n, a(n-1)))
a(0)=0
C(n,k)=binomial coefficient
∑(a)=partial sums of a
n≥0
4 operations
Combinatoric
a(n)=∑(∑(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 arfihgdbhmbdh

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 2304, 2401, more...

integer, strictly-monotonic, +, A000290

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

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

integer, non-monotonic, +-, A008683

a(n)=μ(n)
μ(n)=Möbius function
n≥1
2 operations
Prime

Sequence 5as1ecrpxvlwn

1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -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, +-, A008836

a(n)=λ(n)
λ(n)=Liouville's function
n≥1
2 operations
Prime

Sequence dqjfnt5tdtf1p

1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 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, periodic-2, non-monotonic, +-, A033999

a(n)=-a(n-1)
a(0)=1
n≥0
2 operations
Recursive
a(n)=(-1)^n
n≥0
4 operations
Power
a(n)=cos(π*n)
π=3.141...
n≥0
4 operations
Trigonometric
a(n)=-a(n-1)%2
a(0)=1
n≥0
4 operations
Divisibility
a(n)=-∏(Δ(-n))
Δ(a)=differences of a
∏(a)=partial products of a
n≥0
5 operations
Arithmetic
a(n)=Δ((2/a(n-1))!)
a(0)=1
Δ(a)=differences of a
n≥0
5 operations
Combinatoric

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 apkm4drbhxu1k

1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 5, 1, 2, 1, 2, 1, 1, 1, 3, 2, 1, 3, 2, 1, 1, 1, 7, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 5, 2, 2, more...

integer, non-monotonic, +, A000688

a(n)=agc(n)
agc(n)=number of factorizations into prime powers (abelian group count)
n≥0
2 operations
Prime

Sequence 2q1rtmulmg2m

1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 10, 4, 12, 6, 8, 8, 16, 6, 18, 8, 12, 10, 22, 8, 20, 12, 18, 12, 28, 8, 30, 16, 20, 16, 24, 12, 36, 18, 24, 16, 40, 12, 42, 20, 24, 22, 46, 16, 42, 20, more...

integer, non-monotonic, +, A000010

a(n)=ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
2 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 okvxpoucbqnai

1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, more...

integer, non-monotonic, +, A000005

a(n)=τ(n)
τ(n)=number of divisors of n
n≥1
2 operations
Prime

Sequence 1ouwsby2jnaal

1, 2, 3, 2, 5, 2, 7, 2, 3, 2, 11, 2, 13, 2, 3, 2, 17, 2, 19, 2, 3, 2, 23, 2, 5, 2, 3, 2, 29, 2, 31, 2, 3, 2, 5, 2, 37, 2, 3, 2, 41, 2, 43, 2, 3, 2, 47, 2, 7, 2, more...

integer, non-monotonic, +, A020639

a(n)=lpf(n)
lpf(n)=least prime factor of n
n≥1
2 operations
Prime

Sequence f01q4ekd0c3wl

1, 2, 3, 2, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 5, 2, 17, 3, 19, 5, 7, 11, 23, 3, 5, 13, 3, 7, 29, 5, 31, 2, 11, 17, 7, 3, 37, 19, 13, 5, 41, 7, 43, 11, 5, 23, 47, 3, 7, 5, more...

integer, non-monotonic, +, A006530

a(n)=gpf(n)
gpf(n)=greatest prime factor of n
n≥1
2 operations
Prime

Sequence 4rlzjihdzbx0j

1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, 14, 24, 24, 31, 18, 39, 20, 42, 32, 36, 24, 60, 31, 42, 40, 56, 30, 72, 32, 63, 48, 54, 48, 91, 38, 60, 56, 90, 42, 96, 44, 84, 78, 72, 48, 124, 57, 93, more...

integer, non-monotonic, +, A000203

a(n)=σ(n)
σ(n)=divisor sum of n
n≥1
2 operations
Prime

Sequence ruijxnqgy4eab

1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, more...

integer, strictly-monotonic, +, A018252

a(n)=composite(n)
composite(n)=nth composite number
n≥1
2 operations
Prime

Sequence tilu3ymww05gg

2, 3, 4, 7, 8, 15, 24, 60, 168, 480, 1512, 4800, 15748, 28672, 65528, more...

integer, strictly-monotonic, +, A007497

a(n)=σ(a(n-1))
a(0)=2
σ(n)=divisor sum of n
n≥0
2 operations
Prime

Sequence g0520hmlubygj

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, more...

integer, strictly-monotonic, +, A000040

a(n)=p(n)
p(n)=nth prime
n≥1
2 operations
Prime

Sequence xojyybe3trmub

2, 4, 8, 14, 22, 33, 48, 66, 90, 120, 156, 202, 256, 322, 400, 494, 604, 734, 888, 1067, 1272, 1512, 1790, 2107, 2472, 2890, 3364, 3903, 4515, 5207, 5990, 6875, 7868, 8984, 10238, 11637, 13207, 14959, 16909, 19075, 21483, 24173, 27149, 30436, 34080, 38103, 42552, 47444, 52835, more...

integer, strictly-monotonic, +, A025003

a(n)=composite(a(n-1))
a(0)=2
composite(n)=nth composite number
n≥0
2 operations
Prime

Sequence hfwl31yaewfw

2, 4, 16, 256, 65536, 4294967296, more...

integer, strictly-monotonic, +, A001146

a(n)=a(n-1)²
a(0)=2
n≥0
2 operations
Recursive
a(n)=a(n-1)^(1+1)
a(0)=2
n≥0
5 operations
Power
a(n)=lcm(a(n-1), 2)²
a(0)=2
lcm(a,b)=least common multiple
n≥0
4 operations
Divisibility
a(n)=C(a(n-1), Δ(n))²
a(0)=2
Δ(a)=differences of a
C(n,k)=binomial coefficient
n≥0
5 operations
Combinatoric
a(n)=(λ(n)*a(n-1))²
a(0)=2
λ(n)=Liouville's function
n≥0
5 operations
Prime

Sequence yv3fppyevpgxk

3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, 3, -3, more...

integer, periodic-2, non-monotonic, +-, A174971

a(n)=-a(n-1)
a(0)=3
n≥0
2 operations
Recursive
a(n)=∏((-1)^a(n-1))
a(0)=3
∏(a)=partial products of a
n≥0
5 operations
Power
a(n)=-a(n-1)%4
a(0)=3
n≥0
4 operations
Divisibility
a(n)=∏(-C(a(n-1), 3))
a(0)=3
C(n,k)=binomial coefficient
∏(a)=partial products of a
n≥0
5 operations
Combinatoric

Sequence mbnayqzaowaup

3, 6, 10, 16, 25, 36, 51, 70, 94, 124, 161, 207, 262, 328, 407, 502, 614, 746, 900, 1080, 1288, 1529, 1808, 2127, 2494, 2915, 3393, 3939, 4556, 5253, 6040, 6930, 7931, 9056, 10322, 11729, 13308, 15067, 17031, 19208, 21637, 24340, 27330, 30633, 34296, 38344, 42820, 47742, 53166, more...

integer, strictly-monotonic, +, A025004

a(n)=composite(a(n-1))
a(0)=3
composite(n)=nth composite number
n≥0
2 operations
Prime

Sequence lpylbs2ffxw3k

3, 9, 81, 6561, 43046721, more...

integer, strictly-monotonic, +, A011764

a(n)=a(n-1)²
a(0)=3
n≥0
2 operations
Recursive
a(n)=lcm(a(n-1), 3)²
a(0)=3
lcm(a,b)=least common multiple
n≥0
4 operations
Divisibility
a(n)=a(n-1)^(1+1)
a(0)=3
n≥0
5 operations
Power
a(n)=9^Ω(a(n-1))
a(0)=3
Ω(n)=max factorization terms
n≥0
4 operations
Prime
a(n)=C(a(n-1), Δ(n))²
a(0)=3
Δ(a)=differences of a
C(n,k)=binomial coefficient
n≥0
5 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 zb4ixodewtb2j

4, 7, 17, 59, 277, 1787, 15299, 167449, 2269733, more...

integer, strictly-monotonic, +, A057450

a(n)=p(a(n-1))
a(0)=4
p(n)=nth prime
n≥0
2 operations
Prime

Sequence 0xuugesife4dh

5, 6, 12, 28, 56, 120, 360, 1170, 3276, 10192, 24738, 61440, more...

integer, strictly-monotonic, +, A051572

a(n)=σ(a(n-1))
a(0)=5
σ(n)=divisor sum of n
n≥0
2 operations
Prime

Sequence 4hswfjdgkyzcc

5, 9, 15, 24, 35, 50, 69, 93, 123, 160, 206, 261, 327, 406, 501, 612, 744, 898, 1078, 1286, 1527, 1806, 2125, 2492, 2913, 3390, 3936, 4553, 5250, 6036, 6926, 7926, 9051, 10316, 11723, 13302, 15060, 17022, 19198, 21627, 24328, 27317, 30619, 34281, 38326, 42802, 47722, 53143, more...

integer, strictly-monotonic, +, A025005

a(n)=composite(a(n-1))
a(0)=5
composite(n)=nth composite number
n≥0
2 operations
Prime

Sequence xnlqrjdvgq2xh

-50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, more...

integer, strictly-monotonic, -, A256958

a(n)=n-50
n≥0
3 operations
Arithmetic

Sequence xfqrgcxqyjwrb

-40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, more...

integer, strictly-monotonic, +-, A023482

a(n)=n-40
n≥0
3 operations
Arithmetic

Sequence tj1bkue4gktrb

-39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, more...

integer, strictly-monotonic, +-, A023481

a(n)=n-39
n≥0
3 operations
Arithmetic

Sequence njqzhyiqqimtc

-38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, more...

integer, strictly-monotonic, +-, A023480

a(n)=n-38
n≥0
3 operations
Arithmetic

Sequence qjnjmst0qetcp

-37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, more...

integer, strictly-monotonic, +-, A023479

a(n)=n-37
n≥0
3 operations
Arithmetic

Sequence 1ex5ht4l1fcif

-36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, more...

integer, strictly-monotonic, +-, A023478

a(n)=n-36
n≥0
3 operations
Arithmetic

Sequence yjcpigdgjf1si

-35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, more...

integer, strictly-monotonic, +-, A023477

a(n)=n-35
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-6²
a(0)=1
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence izmej3muw332h

-34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, more...

integer, strictly-monotonic, +-, A023476

a(n)=n-34
n≥0
3 operations
Arithmetic

Sequence bz1smufp3ed0e

-33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, more...

integer, strictly-monotonic, +-, A023475

a(n)=n-33
n≥0
3 operations
Arithmetic

Sequence tmqmvnfarxcbo

-32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, more...

integer, strictly-monotonic, +-, A023474

a(n)=n-32
n≥0
3 operations
Arithmetic
a(n)=n-2^5
n≥0
5 operations
Power

Sequence n5j0fybpo3dhn

-31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, more...

integer, strictly-monotonic, +-, A023473

a(n)=n-31
n≥0
3 operations
Arithmetic

Sequence veo20bh1todpn

-30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, more...

integer, strictly-monotonic, +-, A023472

a(n)=n-30
n≥0
3 operations
Arithmetic

Sequence tnkwzc5ftljah

-29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, more...

integer, strictly-monotonic, +-, A023471

a(n)=n-29
n≥0
3 operations
Arithmetic

Sequence rafzq01jnlbcc

-28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, more...

integer, strictly-monotonic, +-, A023470

a(n)=n-28
n≥0
3 operations
Arithmetic

Sequence oa1222lkib5nc

-27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, more...

integer, strictly-monotonic, +-, A023469

a(n)=n-27
n≥0
3 operations
Arithmetic
a(n)=n-3^3
n≥0
5 operations
Power

Sequence cakietacjpafh

-26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, more...

integer, strictly-monotonic, +-, A023468

a(n)=n-26
n≥0
3 operations
Arithmetic

Sequence kzqhkem1zanbo

-25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, more...

integer, strictly-monotonic, +-, A023467

a(n)=n-25
n≥0
3 operations
Arithmetic

Sequence nye1yu5glkfmj

-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, more...

integer, strictly-monotonic, +-, A023466

a(n)=n-24
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-5²
a(0)=1
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence onwmfjs12xuon

-23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, more...

integer, strictly-monotonic, +-, A023465

a(n)=n-23
n≥0
3 operations
Arithmetic

Sequence pjwopkng54ben

-22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, more...

integer, strictly-monotonic, +-, A023464

a(n)=n-22
n≥0
3 operations
Arithmetic

Sequence degnl5dvgdqlp

-21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, more...

integer, strictly-monotonic, +-, A023463

a(n)=n-21
n≥0
3 operations
Arithmetic

Sequence oc3z41xywsmge

-20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, more...

integer, strictly-monotonic, +-, A023462

a(n)=n-20
n≥0
3 operations
Arithmetic

Sequence sj0cyt1bmtqol

-19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, more...

integer, strictly-monotonic, +-, A023461

a(n)=n-19
n≥0
3 operations
Arithmetic

Sequence 4ekkhgkfj33dn

-18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, more...

integer, strictly-monotonic, +-, A023460

a(n)=n-18
n≥0
3 operations
Arithmetic

Sequence ojgfrkhltbwid

-17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, more...

integer, strictly-monotonic, +-, A023459

a(n)=n-17
n≥0
3 operations
Arithmetic

Sequence uubiy4yyji0bi

-16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, more...

integer, strictly-monotonic, +-, A023458

a(n)=n-16
n≥0
3 operations
Arithmetic
a(n)=n-2^4
n≥0
5 operations
Power

Sequence wiprw5ujybdq

-15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, more...

integer, strictly-monotonic, +-, A023457

a(n)=n-15
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-4²
a(0)=1
∑(a)=partial sums of a
n≥0
5 operations
Recursive

Sequence ll1pzvka2xwdn

-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, more...

integer, strictly-monotonic, +-, A023456

a(n)=n-14
n≥0
3 operations
Arithmetic

Sequence fuw5merbdsorl

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, more...

integer, strictly-monotonic, +-, A023455

a(n)=n-13
n≥0
3 operations
Arithmetic

Sequence a4kq3louvo3am

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, more...

integer, strictly-monotonic, +-, A023454

a(n)=n-12
n≥0
3 operations
Arithmetic

Sequence wcvgj30zq1q4o

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, more...

integer, strictly-monotonic, +-, A023453

a(n)=n-11
n≥0
3 operations
Arithmetic

Sequence xc5xmzoyvewtp

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, more...

integer, strictly-monotonic, +-, A023452

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

Sequence 2zstd45hyiacf

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, more...

integer, strictly-monotonic, +-, A023451

a(n)=n-9
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-10
a(0)=1
∑(a)=partial sums of a
n≥0
4 operations
Recursive
a(n)=∑(sqrt(a(n-1)))-10
a(0)=1
∑(a)=partial sums of a
n≥0
5 operations
Power
a(n)=∑(a(n-1)!)-9
a(0)=0
∑(a)=partial sums of a
n≥0
5 operations
Combinatoric
a(n)=∑(composite(a(n-1)))-10
a(0)=1
composite(n)=nth composite number
∑(a)=partial sums of a
n≥0
5 operations
Prime

Sequence 2t0o5yxsxdgti

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, more...

integer, strictly-monotonic, +-, A023450

a(n)=n-8
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-9
a(0)=1
∑(a)=partial sums of a
n≥0
4 operations
Recursive
a(n)=n-2^3
n≥0
5 operations
Power
a(n)=∑(a(n-1)!)-8
a(0)=0
∑(a)=partial sums of a
n≥0
5 operations
Combinatoric
a(n)=∑(composite(a(n-1)))-9
a(0)=1
composite(n)=nth composite number
∑(a)=partial sums of a
n≥0
5 operations
Prime

Sequence hkxnbwbryy4of

-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, more...

integer, strictly-monotonic, +-, A023449

a(n)=n-7
n≥0
3 operations
Arithmetic
a(n)=∑(a(n-1))-8
a(0)=1
∑(a)=partial sums of a
n≥0
4 operations
Recursive
a(n)=∑(sqrt(a(n-1)))-8
a(0)=1
∑(a)=partial sums of a
n≥0
5 operations
Power
a(n)=∑(a(n-1)!)-7
a(0)=0
∑(a)=partial sums of a
n≥0
5 operations
Combinatoric
a(n)=∑(composite(a(n-1)))-8
a(0)=1
composite(n)=nth composite number
∑(a)=partial sums of a
n≥0
5 operations
Prime

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