Sequence Database

A database with 497817 machine generated integer and decimal sequences.

Displaying the first 100 results.

Sequence kjsr2d50fhgek

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

integer, non-constant, periodic, non-monotonic, +0, A000035

a(n)=n%2
n≥0
3 operations
N
n2%
a(n)=floor(cos(a(n-1)))
a(0)=0
n≥0
3 operations
Recursive
rOf
a(n)=3-p(a(n-1))
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
3rp-

Sequence hexbe3joutxph

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

integer, non-constant, periodic, non-monotonic, +0, A010872

a(n)=n%3
n≥0
3 operations
N
n3%
a(n)=floor(sqrt(exp(tan(a(n-1)))))
a(0)=0
n≥0
5 operations
Recursive
rWeQf
a(n)=μ(a(n-1))+1
a(0)=0
μ(n)=Möbius function
n≥0
4 operations
PrimeRecursive
rμ1+

Sequence xzwufrv2ulxsb

0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, more...

integer, non-constant, periodic, non-monotonic, +0, A010873

a(n)=n%4
n≥0
3 operations
N
n4%
a(n)=(a(n-1)+1)%4
a(0)=0
n≥0
5 operations
Recursive
r1+4%

Sequence wc4dze2lgugln

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

integer, non-constant, periodic, non-monotonic, +0, A010874

a(n)=n%5
n≥0
3 operations
N
n5%
a(n)=(a(n-1)+1)%5
a(0)=0
n≥0
5 operations
Recursive
r1+5%

Sequence hpkpfwnsrx1xj

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

integer, non-constant, periodic, non-monotonic, +0, A010875

a(n)=n%6
n≥0
3 operations
N
n6%
a(n)=(a(n-1)+1)%6
a(0)=0
n≥0
5 operations
Recursive
r1+6%

Sequence hndp5xz3nflih

0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, more...

integer, non-constant, periodic, non-monotonic, +0, A010876

a(n)=n%7
n≥0
3 operations
N
n7%
a(n)=(a(n-1)+1)%7
a(0)=0
n≥0
5 operations
Recursive
r1+7%

Sequence e3ngkhvt0ohzo

0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, more...

integer, non-constant, periodic, non-monotonic, +0, A010877

a(n)=n%8
n≥0
3 operations
N
n8%
a(n)=(a(n-1)+1)%8
a(0)=0
n≥0
5 operations
Recursive
r1+8%

Sequence bobqhvchzwr5f

0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, more...

integer, non-constant, periodic, non-monotonic, +0, A010878

a(n)=n%9
n≥0
3 operations
N
n9%
a(n)=(a(n-1)+1)%9
a(0)=0
n≥0
5 operations
Recursive
r1+9%

Sequence 0ffj3bsoyijrb

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, more...

integer, non-constant, periodic, non-monotonic, +0, A010879

a(n)=n%10
n≥0
3 operations
N
n10%
a(n)=(a(n-1)+1)%10
a(0)=0
n≥0
5 operations
Recursive
r1+10%

Sequence mcltxlysasucf

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

integer, non-constant, periodic, non-monotonic, +0, A010673

a(n)=(n+n)%4
n≥0
5 operations
N
nn+4%
a(n)=2-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
2r-

Sequence kvdw1hkdog0wp

0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, more...

integer, non-constant, periodic, non-monotonic, +0, A010674

a(n)=n%2*3
n≥0
5 operations
N
n2%3*
a(n)=3-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
3r-

Sequence rwveb0rw4udrg

0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, 0, 3.1415926536, more...

decimal, non-constant, periodic, non-monotonic, +0

a(n)=n%2*π
Pi (3.141...)
n≥0
5 operations
N
n2%π*
a(n)=π-a(n-1)
a(0)=0
Pi (3.141...)
n≥0
3 operations
Recursive
πr-

Sequence bidkhyrabbg2h

0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, more...

integer, non-constant, periodic, non-monotonic, +0, A010675

a(n)=n%2*4
n≥0
5 operations
N
n2%4*
a(n)=4-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
4r-

Sequence k4ynpyjcjhsvn

0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, more...

integer, non-constant, periodic, non-monotonic, +0, A010676

a(n)=n%2*5
n≥0
5 operations
N
n2%5*
a(n)=5-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
5r-

Sequence vg22drjoeagap

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

integer, non-constant, periodic, non-monotonic, +0, A010677

a(n)=n%2*6
n≥0
5 operations
N
n2%6*
a(n)=6-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
6r-

Sequence 42nk3ygncr4pi

0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, more...

integer, non-constant, periodic, non-monotonic, +0, A010678

a(n)=n%2*7
n≥0
5 operations
N
n2%7*
a(n)=7-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
7r-

Sequence mehxmczlq2bmj

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

integer, non-constant, periodic, non-monotonic, +0, A010679

a(n)=n%2*8
n≥0
5 operations
N
n2%8*
a(n)=8-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
8r-

Sequence kkcqyq1dn2umh

0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, more...

integer, non-constant, periodic, non-monotonic, +0, A010680

a(n)=n%2*9
n≥0
5 operations
N
n2%9*
a(n)=9-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
9r-

Sequence 0o5cer15gcegg

0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, 0, 10, more...

integer, non-constant, periodic, non-monotonic, +0, A010681

a(n)=n%2*10
n≥0
5 operations
N
n2%10*
a(n)=10-a(n-1)
a(0)=0
n≥0
3 operations
Recursive
10r-

Sequence x1pra0juni4q

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

integer, non-constant, periodic, non-monotonic, +0, A059841

a(n)=(n+1)%2
n≥0
5 operations
N
n1+2%
a(n)=floor(cos(a(n-1)))
a(0)=1
n≥0
3 operations
Recursive
rOf
a(n)=3-p(a(n-1))
a(0)=1
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
3rp-

Sequence aijn4k3ofexuf

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

integer, non-constant, periodic, non-monotonic, +, A000034

a(n)=n%2+1
n≥0
5 operations
N
n2%1+
a(n)=2/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
2r/

Sequence m4hdexfqsakuf

1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, 1, 3.1415926536, more...

decimal, non-constant, periodic, non-monotonic, +

a(n)=π^(n%2)
Pi (3.141...)
n≥0
5 operations
N
πn2%^
a(n)=π/a(n-1)
a(0)=1
Pi (3.141...)
n≥0
3 operations
Recursive
πr/

Sequence n5cbblqvhkwzk

1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, more...

integer, non-constant, periodic, non-monotonic, +, A010685

a(n)=4^(n%2)
n≥0
5 operations
N
4n2%^
a(n)=4/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
4r/

Sequence ospbofekmmhkc

1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, more...

integer, non-constant, periodic, non-monotonic, +, A010686

a(n)=5^(n%2)
n≥0
5 operations
N
5n2%^
a(n)=5/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
5r/

Sequence 12i3hxt2wmj3b

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

integer, non-constant, periodic, non-monotonic, +, A010687

a(n)=6^(n%2)
n≥0
5 operations
N
6n2%^
a(n)=6/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
6r/

Sequence gizbdygqtx01o

1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, more...

integer, non-constant, periodic, non-monotonic, +, A010688

a(n)=7^(n%2)
n≥0
5 operations
N
7n2%^
a(n)=7/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
7r/

Sequence mzgh4f2jztb0

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

integer, non-constant, periodic, non-monotonic, +, A010689

a(n)=8^(n%2)
n≥0
5 operations
N
8n2%^
a(n)=8/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
8r/

Sequence x3fwbrphg2aye

1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, more...

integer, non-constant, periodic, non-monotonic, +, A010690

a(n)=9^(n%2)
n≥0
5 operations
N
9n2%^
a(n)=9/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
9r/

Sequence f0cdeddra5v5d

1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, more...

integer, non-constant, periodic, non-monotonic, +, A010691

a(n)=10^(n%2)
n≥0
5 operations
N
10n2%^
a(n)=10/a(n-1)
a(0)=1
n≥0
3 operations
Recursive
10r/

Sequence qq1jpmaqtnpeb

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

integer, non-constant, periodic, non-monotonic, +

a(n)=2-n%2
n≥0
5 operations
N
2n2%-
a(n)=2/a(n-1)
a(0)=2
n≥0
3 operations
Recursive
2r/

Sequence jvgw3p5hsguzc

2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, 2, 1.5, more...

decimal, non-constant, periodic, non-monotonic, +

a(n)=2-n%2/2
n≥0
7 operations
N
2n2%2/-
a(n)=3/a(n-1)
a(0)=2
n≥0
3 operations
Recursive
3r/

Sequence ktkvh3ahajyz

2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, 2, 2.5, more...

decimal, non-constant, periodic, non-monotonic, +

a(n)=n%2/2+2
n≥0
7 operations
N
n2%2/2+
a(n)=5/a(n-1)
a(0)=2
n≥0
3 operations
Recursive
5r/

Sequence ezh0d0ot0tcpf

2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, more...

integer, non-constant, periodic, non-monotonic, +, A010693

a(n)=n%2+2
n≥0
5 operations
N
n2%2+
a(n)=5-a(n-1)
a(0)=2
n≥0
3 operations
Recursive
5r-

Sequence 1w5au0gslsjml

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

integer, non-constant, periodic, non-monotonic, +, A010696

a(n)=(n%2+2)!
n≥0
6 operations
N
n2%2+!
a(n)=8-a(n-1)
a(0)=2
n≥0
3 operations
Recursive
8r-

Sequence rln10zrtle50i

0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, 0, -4, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%2*4
n≥0
6 operations
N
n~2%4*
a(n)=-a(n-1)-4
a(0)=0
n≥0
4 operations
Recursive
r~4-

Sequence t4pqwv4teld0c

0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, 0, -3, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%2*3
n≥0
6 operations
N
n~2%3*
a(n)=-a(n-1)-3
a(0)=0
n≥0
4 operations
Recursive
r~3-

Sequence crkq0ywqsdvne

0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%10
n≥0
4 operations
N
n~10%
a(n)=(a(n-1)-1)%10
a(0)=0
n≥0
5 operations
Recursive
r1-10%

Sequence 143x1inshbsqj

0, -1, -2, -3, -4, -5, -6, -7, -8, 0, -1, -2, -3, -4, -5, -6, -7, -8, 0, -1, -2, -3, -4, -5, -6, -7, -8, 0, -1, -2, -3, -4, -5, -6, -7, -8, 0, -1, -2, -3, -4, -5, -6, -7, -8, 0, -1, -2, -3, -4, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%9
n≥0
4 operations
N
n~9%
a(n)=(a(n-1)-1)%9
a(0)=0
n≥0
5 operations
Recursive
r1-9%

Sequence nse31rn3wtbap

0, -1, -2, -3, -4, -5, -6, -7, 0, -1, -2, -3, -4, -5, -6, -7, 0, -1, -2, -3, -4, -5, -6, -7, 0, -1, -2, -3, -4, -5, -6, -7, 0, -1, -2, -3, -4, -5, -6, -7, 0, -1, -2, -3, -4, -5, -6, -7, 0, -1, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%8
n≥0
4 operations
N
n~8%
a(n)=(a(n-1)-1)%8
a(0)=0
n≥0
5 operations
Recursive
r1-8%

Sequence 5yfbjmt3i2sug

0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, -1, -2, -3, -4, -5, -6, 0, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%7
n≥0
4 operations
N
n~7%
a(n)=(a(n-1)-1)%7
a(0)=0
n≥0
5 operations
Recursive
r1-7%

Sequence qcdwhke3zjokp

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

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%6
n≥0
4 operations
N
n~6%
a(n)=(a(n-1)-1)%6
a(0)=0
n≥0
5 operations
Recursive
r1-6%

Sequence lxhk0k4l1ewoo

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

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%5
n≥0
4 operations
N
n~5%
a(n)=(a(n-1)-1)%5
a(0)=0
n≥0
5 operations
Recursive
r1-5%

Sequence a2ahi5pmhacgl

0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, -2, -3, 0, -1, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%4
n≥0
4 operations
N
n~4%
a(n)=(a(n-1)-1)%4
a(0)=0
n≥0
5 operations
Recursive
r1-4%

Sequence 4oafitaxoswxc

0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, -2, 0, -1, more...

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%3
n≥0
4 operations
N
n~3%
a(n)=(a(n-1)-1)%3
a(0)=0
n≥0
5 operations
Recursive
r1-3%
a(n)=-μ(-a(n-1))-1
a(0)=0
μ(n)=Möbius function
n≥0
6 operations
PrimeRecursive
r~μ~1-

Sequence vipqa1tap3rjf

0, -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-constant, non-monotonic, +-0

a(n)=μ(n)%n
μ(n)=Möbius function
n≥1
4 operations
Prime
nμn%

Sequence mnxlgmmsmdx1l

0, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -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-constant, non-monotonic, +-0

a(n)=λ(n)%n
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλn%

Sequence h4uzxyiek2ulp

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

integer, non-constant, periodic, non-monotonic, -0

a(n)=-n%2
n≥0
4 operations
N
n~2%
a(n)=-a(n-1)-1
a(0)=0
n≥0
4 operations
Recursive
r~1-
a(n)=p(abs(a(n-1)))-3
a(0)=0
p(n)=nth prime
n≥0
5 operations
PrimeRecursive
r|p3-

Sequence mksdk3a5zybpb

0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 3, 1, 2, 1, more...

integer, non-constant, non-monotonic, +0

a(n)=n%Ω(n)
Ω(n)=max factorization terms
n≥2
4 operations
Prime
nnΩ%

Sequence 1eppumu1ukyqb

0, 0, 0, 2, 1, 3, 1, 3, 7, 1, 3, 7, 7, 6, 3, 7, 3, 7, 1, 3, 7, 19, 5, 13, 19, 21, 1, 3, 7, 19, 11, 6, 17, 28, 7, 19, 35, 3, 7, 19, 31, 8, 23, 3, 7, 19, 25, 7, 19, 22, more...

integer, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%n
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rpn%

Sequence hqjeaju55hdj

0, 0, 1, 0, 1, 0, 1, 0, 3, 2, 1, 0, 1, 2, 7, 0, 1, 0, 1, 4, 9, 2, 1, 0, 5, 2, 9, 4, 1, 6, 1, 0, 13, 2, 11, 0, 1, 2, 15, 8, 1, 6, 1, 4, 21, 2, 1, 0, 7, 10, more...

integer, non-constant, non-monotonic, +0, A068494

a(n)=n%ϕ(n)
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nnϕ%

Sequence byyvzwhxtnfnj

0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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-constant, monotonic, +0, A157928

a(n)=floor(sqrt(ln(n)))
n≥1
4 operations
N
nlQf
a(n)=a(n-1)!%n
a(0)=0
n≥0
4 operations
Recursive
r!n%

Sequence 5xgijurrfl1vh

0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 3, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 3, 4, 1, 6, 1, 2, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 1, 2, 3, 2, 1, 8, 1, 2, more...

integer, non-constant, non-monotonic, +0, A054008

a(n)=n%τ(n)
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nnτ%

Sequence pf2pvrjiovxoo

0, 0, 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-constant, non-monotonic, +0

a(n)=τ(n)%n
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nτn%

Sequence skpfo1uhvkzb

0, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -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-constant, non-monotonic, +-0, A062157

a(n)=((-1)^n)%n
n≥1
6 operations
N
1~n^n%
a(n)=round(cos(exp(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
reOR
a(n)=λ(a(n-1)+1)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
r1+λ

Sequence tiryzqcvxgbuk

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

integer, non-constant, non-monotonic, +0, A066829

a(n)=Ω(n)%2
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩ2%

Sequence qgdcvovgywgbn

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

integer, non-constant, periodic, non-monotonic, +0, A011655

a(n)=(n*n)%3
n≥0
5 operations
N
nn*3%
a(n)=abs(a(n-1)-a(n-2))
a(0)=0
a(1)=1
n≥0
4 operations
Recursive
rs-|

Sequence gsmtr24rzlw5b

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

integer, non-constant, non-monotonic, +0

a(n)=Ω(n)%3
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩ3%

Sequence nxaptmslrw5eg

0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 0, 1, 3, 1, 3, 2, 2, 1, 0, 2, 2, 3, 3, 1, 3, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 3, 1, 3, 3, 2, 1, 1, 2, 3, more...

integer, non-constant, non-monotonic, +0

a(n)=Ω(n)%4
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩ4%

Sequence hxm551ywzc5ye

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

integer, non-constant, non-monotonic, +0

a(n)=Ω(n)%5
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩ5%

Sequence l13xmwjx5njxd

0, 1, 1, 3, 3, 5, 5, 7, 2, 1, 4, 5, 4, 5, 8, 11, 10, 13, 14, 13, 16, 17, 20, 1, 1, 25, 26, 25, 26, 7, 7, 9, 7, 13, 11, 13, 15, 15, 17, 19, 17, 23, 21, 21, 19, 27, 35, 35, 33, 33, more...

integer, non-constant, non-monotonic, +0, A004649

a(n)=p(n)%n
p(n)=nth prime
n≥1
4 operations
Prime
npn%

Sequence a1teiwyikqael

0, 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-constant, non-monotonic, +0

a(n)=ϕ(n)%n
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕn%

Sequence qagzacg2ab2d

0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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-constant, non-monotonic, +0

a(n)=ceil(3/n)%3
n≥1
6 operations
N
3n/T3%
a(n)=(2-a(n-1))!
a(0)=0
n≥0
4 operations
Recursive
2r-!

Sequence 0x41mg2evuk3f

0, 2, 1, 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, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%4
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp4%

Sequence yyfgyzfyikdwh

0, 2, 2, 5, 3, 7, 3, 7, 19, 3, 7, 19, 19, 17, 7, 19, 7, 19, 3, 7, 19, 71, 13, 43, 71, 79, 3, 7, 19, 71, 37, 17, 61, 109, 19, 71, 151, 7, 19, 71, 131, 23, 89, 7, 19, 71, 101, 19, 71, 83, more...

integer, non-constant, non-monotonic, +0

a(n)=p(a(n-1)%n)
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rn%p

Sequence 5ykesourzfhcp

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

integer, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%6
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp6%

Sequence in44a1zs2ewbm

0, 2, 5, 3, 7, 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, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%10
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp10%

Sequence mysdfaglsjjfp

0, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, 5, 4, 2, more...

integer, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%9
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp9%

Sequence d1lcvzsgreyyo

0, 2, 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, non-constant, monotonic, +0

a(n)=p(a(n-1))%8
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp8%

Sequence nh4vocv51tqjd

0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, 0, 2, 5, 6, 3, more...

integer, non-constant, periodic, non-monotonic, +0

a(n)=p(a(n-1))%7
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rp7%

Sequence tneuexr30s1pd

0, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, 4, 5, more...

integer, non-constant, non-monotonic, +0

a(n)=5-a(n-1)%2
a(0)=0
n≥0
5 operations
Recursive
5r2%-
a(n)=μ(a(n-1))+5
a(0)=0
μ(n)=Möbius function
n≥0
4 operations
PrimeRecursive
rμ5+

Sequence rf0ua0qg3y31m

0, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, more...

integer, non-constant, non-monotonic, +0

a(n)=a(n-1)%2+7
a(0)=0
n≥0
5 operations
Recursive
r2%7+
a(n)=7-μ(a(n-1))
a(0)=0
μ(n)=Möbius function
n≥0
4 operations
PrimeRecursive
7rμ-

Sequence b1faxwbjrsakn

0, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, more...

integer, non-constant, non-monotonic, +0

a(n)=8-a(n-1)%3
a(0)=0
n≥0
5 operations
Recursive
8r3%-
a(n)=λ(a(n-1))+7
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλ7+

Sequence zd0sclspls0fm

1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, 1, -4, more...

integer, non-constant, periodic, non-monotonic, +-

a(n)=(-4)^(n%2)
n≥0
6 operations
N
4~n2%^
a(n)=-a(n-1)-3
a(0)=1
n≥0
4 operations
Recursive
r~3-

Sequence fktzjqgo1ymwd

1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, 1, -3, more...

integer, non-constant, periodic, non-monotonic, +-

a(n)=(-3)^(n%2)
n≥0
6 operations
N
3~n2%^
a(n)=-a(n-1)-2
a(0)=1
n≥0
4 operations
Recursive
r~2-
a(n)=p(abs(a(n-1)))-6
a(0)=1
p(n)=nth prime
n≥0
5 operations
PrimeRecursive
r|p6-

Sequence bv4hlwecbt3o

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

integer, non-constant, periodic, non-monotonic, +-

a(n)=(-2)^(n%2)
n≥0
6 operations
N
2~n2%^
a(n)=-a(n-1)-1
a(0)=1
n≥0
4 operations
Recursive
r~1-

Sequence 2jmtin1llya4

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

integer, non-constant, non-monotonic, +-0

a(n)=(1-n)%2
n≥0
5 operations
N
1n-2%
a(n)=abs(a(n-1))-1
a(0)=1
n≥0
4 operations
Recursive
r|1-
a(n)=p(abs(a(n-1)))-3
a(0)=1
p(n)=nth prime
n≥0
5 operations
PrimeRecursive
r|p3-

Sequence xvvzbyjajicpi

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

integer, non-constant, non-monotonic, +0, A065803

a(n)=τ(n)%2
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nτ2%

Sequence c4fpqjxay2ihf

1, 0, 0, 2, 1, 3, 1, 3, 7, 1, 3, 7, 7, 6, 3, 7, 3, 7, 1, 3, 7, 19, 5, 13, 19, 21, 1, 3, 7, 19, 11, 6, 17, 28, 7, 19, 35, 3, 7, 19, 31, 8, 23, 3, 7, 19, 25, 7, 19, 22, more...

integer, non-constant, non-monotonic, +0

a(n)=p(a(n-1))%n
a(0)=1
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rpn%

Sequence 000cglhgt3jjn

1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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-constant, non-monotonic, +0, A060576

a(n)=ceil(sin(7/n))
n≥1
5 operations
N
7n/ST
a(n)=a(n-1)!%n
a(0)=1
n≥0
4 operations
Recursive
r!n%

Sequence izvkdfmv2rhyl

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

integer, non-constant, periodic, non-monotonic, +, A177702

a(n)=(n%3)!
n≥0
4 operations
N
n3%!

Sequence py42rwu5je5vo

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

integer, non-constant, non-monotonic, +0

a(n)=ϕ(n)%4
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ4%

Sequence 45ile302vb1qj

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

integer, non-constant, non-monotonic, +0, A074942

a(n)=ϕ(n)%3
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ3%

Sequence 1jxlnzpkm5mrp

1, 1, 2, 2, 4, 2, 0, 4, 0, 4, 4, 4, 0, 0, 2, 2, 4, 0, 0, 2, 0, 4, 4, 2, 2, 0, 0, 0, 4, 2, 0, 4, 2, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, 0, 4, 4, 4, 0, 2, more...

integer, non-constant, non-monotonic, +0, A084300

a(n)=ϕ(n)%6
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ6%

Sequence k3fngbcq0gsrc

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

integer, non-constant, non-monotonic, +0, A261872

a(n)=ϕ(n)%5
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ5%

Sequence 3rgfja534255d

1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 0, 4, 2, 6, 8, 8, 6, 6, 8, 8, 2, 0, 2, 8, 0, 2, 8, 2, 8, 8, 0, 6, 0, 6, 4, 2, 6, 8, 4, 6, 0, 2, 2, 0, 4, 2, 6, 6, 2, 0, more...

integer, non-constant, non-monotonic, +0

a(n)=ϕ(n)%10
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ10%

Sequence 1pwj5wjssxqvl

1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 1, 4, 3, 6, 8, 8, 7, 6, 0, 8, 3, 1, 4, 8, 2, 3, 0, 3, 1, 8, 3, 7, 2, 7, 6, 3, 0, 0, 6, 7, 4, 3, 6, 2, 6, 4, 1, 7, 6, 2, more...

integer, non-constant, non-monotonic, +0

a(n)=ϕ(n)%9
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ9%

Sequence etp5djfakblli

1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 2, 4, 4, 6, 0, 0, 0, 6, 2, 0, 4, 2, 6, 0, 4, 4, 2, 4, 4, 0, 6, 0, 4, 0, 0, 4, 4, 2, 0, 0, 0, 4, 2, 4, 0, 6, 6, 0, 2, 4, more...

integer, non-constant, non-monotonic, +0

a(n)=ϕ(n)%8
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ8%

Sequence rowocmod5l42e

1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 3, 4, 5, 6, 1, 1, 2, 6, 4, 1, 5, 3, 1, 1, 6, 5, 4, 5, 0, 1, 2, 2, 6, 2, 3, 5, 1, 4, 3, 2, 5, 5, 0, 6, 3, 1, 4, 2, 0, 6, more...

integer, non-constant, non-monotonic, +0

a(n)=ϕ(n)%7
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕ7%

Sequence q5q0lhqhpcinm

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, non-constant, periodic, non-monotonic, +

a(n)=(n%4)!
n≥0
4 operations
N
n4%!

Sequence bkwr2kydues3e

1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, 1, 1, 2, 6, 24, more...

integer, non-constant, periodic, non-monotonic, +

a(n)=(n%5)!
n≥0
4 operations
N
n5%!

Sequence 1d2pgpuwztgml

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

integer, non-constant, periodic, non-monotonic, +

a(n)=(n%6)!
n≥0
4 operations
N
n6%!

Sequence jmjbd3dy1h51l

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

integer, non-constant, periodic, non-monotonic, +

a(n)=(n%7)!
n≥0
4 operations
N
n7%!

Sequence uc4vv5wtnfv4p

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, non-constant, periodic, non-monotonic, +

a(n)=(n%8)!
n≥0
4 operations
N
n8%!

Sequence qjnujpgtguimp

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 1, 1, 2, 6, 24, more...

integer, non-constant, periodic, non-monotonic, +

a(n)=(n%9)!
n≥0
4 operations
N
n9%!

Sequence nwwi4dg0uol5e

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, more...

integer, non-constant, periodic, non-monotonic, +

a(n)=(n%10)!
n≥0
4 operations
N
n10%!

Sequence uwjnzw01x3epl

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

integer, non-constant, periodic, non-monotonic, +0

a(n)=(n+1)%3
n≥0
5 operations
N
n1+3%
a(n)=floor(sqrt(exp(tan(a(n-1)))))
a(0)=1
n≥0
5 operations
Recursive
rWeQf
a(n)=μ(a(n-1))+1
a(0)=1
μ(n)=Möbius function
n≥0
4 operations
PrimeRecursive
rμ1+

Sequence xksfzw1du513j

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

integer, non-constant, non-monotonic, +0

a(n)=floor(4/n)%3
n≥1
6 operations
N
4n/f3%
a(n)=round(a(n-1)/n*a(n-2))
a(0)=1
a(1)=2
n≥0
6 operations
Recursive
rn/s*R
a(n)=Ω(a(n-1)*a(n-2))
a(0)=1
a(1)=2
Ω(n)=max factorization terms
n≥0
4 operations
PrimeRecursive
rs*Ω

Sequence qxvnhyhlfrhfc

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

integer, non-constant, non-monotonic, +0, A074943

a(n)=τ(n)%3
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nτ3%

Sequence ktrm114i22ddn

1, 2, 2, 3, 2, 0, 2, 0, 3, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 3, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 3, 2, more...

integer, non-constant, non-monotonic, +0

a(n)=τ(n)%4
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nτ4%

Sequence aiq4nk21qwvzl

1, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, more...

integer, non-constant, non-monotonic, +, A082204

a(n)=a(n-1)-a(n-2)%a(n-1)+1
a(0)=1
a(1)=2
n≥0
7 operations
Recursive
rsr%-1+
a(n)=τ(a(n-1)+a(n-2))
a(0)=1
a(1)=2
τ(n)=number of divisors of n
n≥0
4 operations
PrimeRecursive
rs+τ