Sequence Database

A database with 497817 machine generated integer and decimal sequences.

Displaying the first 100 results.

Sequence y1izymmnck4jb

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

integer, non-constant, periodic, non-monotonic, +, A109007

a(n)=gcd(n, 3)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n3g

Sequence 4w3ihkvsbbqab

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

integer, non-constant, periodic, non-monotonic, +, A109008

a(n)=gcd(n, 4)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n4g

Sequence 12havgbacwtu

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

integer, non-constant, periodic, non-monotonic, +, A109009

a(n)=gcd(n, 5)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n5g

Sequence eajsi3fsg0cak

6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, 2, 3, 2, 1, 6, 1, more...

integer, non-constant, periodic, non-monotonic, +, A089128

a(n)=gcd(n, 6)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n6g

Sequence zdq1fw40qw3ik

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

integer, non-constant, periodic, non-monotonic, +, A109010

a(n)=gcd(n, 7)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n7g

Sequence 23xa2xafrvqpg

8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 8, 1, more...

integer, non-constant, periodic, non-monotonic, +, A109011

a(n)=gcd(n, 8)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n8g

Sequence wua0mkxbs0vdh

9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 1, more...

integer, non-constant, periodic, non-monotonic, +, A109012

a(n)=gcd(n, 9)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n9g

Sequence jaafyzwgujmch

10, 1, 2, 1, 2, 5, 2, 1, 2, 1, 10, 1, 2, 1, 2, 5, 2, 1, 2, 1, 10, 1, 2, 1, 2, 5, 2, 1, 2, 1, 10, 1, 2, 1, 2, 5, 2, 1, 2, 1, 10, 1, 2, 1, 2, 5, 2, 1, 2, 1, more...

integer, non-constant, periodic, non-monotonic, +, A109013

a(n)=gcd(n, 10)
gcd(a,b)=greatest common divisor
n≥0
3 operations
Prime
n10g

Sequence q32wfplwkf4ce

-10, -1, -2, -1, -2, -5, -2, -1, -2, -1, -10, -1, -2, -1, -2, -5, -2, -1, -2, -1, -10, -1, -2, -1, -2, -5, -2, -1, -2, -1, -10, -1, -2, -1, -2, -5, -2, -1, -2, -1, -10, -1, -2, -1, -2, -5, -2, -1, -2, -1, more...

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

a(n)=-gcd(n, 10)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n10g~

Sequence 1hxu3pyvfgxvi

-9, -1, -1, -3, -1, -1, -3, -1, -1, -9, -1, -1, -3, -1, -1, -3, -1, -1, -9, -1, -1, -3, -1, -1, -3, -1, -1, -9, -1, -1, -3, -1, -1, -3, -1, -1, -9, -1, -1, -3, -1, -1, -3, -1, -1, -9, -1, -1, -3, -1, more...

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

a(n)=-gcd(n, 9)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n9g~

Sequence nun1rsryeh2di

-8, -1, -2, -1, -4, -1, -2, -1, -8, -1, -2, -1, -4, -1, -2, -1, -8, -1, -2, -1, -4, -1, -2, -1, -8, -1, -2, -1, -4, -1, -2, -1, -8, -1, -2, -1, -4, -1, -2, -1, -8, -1, -2, -1, -4, -1, -2, -1, -8, -1, more...

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

a(n)=-gcd(n, 8)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n8g~

Sequence esvxofufqj3po

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

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

a(n)=-gcd(n, 7)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n7g~

Sequence oband3o3eztik

-6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, -2.1850398633, 1.5574077247, 1.1578212823, 1.5574077247, -2.1850398633, 1.5574077247, -6.7997114552, 1.5574077247, more...

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

a(n)=tan(gcd(n, 8))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n8gW

Sequence rdy30b1iy4x4n

-6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, -2, -3, -2, -1, -6, -1, more...

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

a(n)=-gcd(n, 6)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n6g~

Sequence 54m0fem2p405k

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

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

a(n)=-gcd(n, 5)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n5g~

Sequence 1tmcbsm2njd2b

-4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, -2, -1, -4, -1, more...

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

a(n)=-gcd(n, 4)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n4g~

Sequence e3atwik1c0zwc

-3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, -3.3805150062, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, more...

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

a(n)=tan(gcd(n, 5))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n5gW

Sequence 1hgzv5fo4kq0e

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

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

a(n)=-gcd(n, 3)
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n3g~

Sequence q3refpvzzzqmc

-2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, more...

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

a(n)=tan(gcd(n, 2))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n2gW

Sequence dontutp2g23rm

-0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, more...

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

a(n)=cos(gcd(n, 3))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n3gO

Sequence e4tf21cwopg4c

-0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, -0.9589242747, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, more...

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

a(n)=sin(gcd(n, 5))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n5gS

Sequence 1quxmwemb4mke

-0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, 0.5403023059, -0.9111302619, 0.5403023059, 0.5403023059, -0.9899924966, 0.5403023059, more...

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

a(n)=cos(gcd(n, 9))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n9gO

Sequence 3njw2hzcfkhji

-0.8390715291, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.2836621855, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.8390715291, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.2836621855, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.8390715291, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.2836621855, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.8390715291, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.2836621855, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.8390715291, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.2836621855, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, more...

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

a(n)=cos(gcd(n, 10))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n10gO

Sequence jnqndce223s5n

-0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, more...

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

a(n)=sin(gcd(n, 4))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n4gS

Sequence oqj1zu42jgqqb

-0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, more...

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

a(n)=cos(gcd(n, 4))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n4gO

Sequence s3njuynwya0og

-0.5440211109, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, -0.9589242747, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, -0.5440211109, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, -0.9589242747, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, -0.5440211109, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, -0.9589242747, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, -0.5440211109, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, -0.9589242747, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, -0.5440211109, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, -0.9589242747, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, more...

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

a(n)=sin(gcd(n, 10))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n10gS

Sequence pvmp2ieypxt1f

-0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.4523156594, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, more...

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

a(n)=tan(gcd(n, 9))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n9gW

Sequence e1mdxq5gxbcbb

-0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, -0.4161468365, 0.5403023059, more...

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

a(n)=cos(gcd(n, 2))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n2gO

Sequence dowcq4wtsirqd

-0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, -2.1850398633, -0.1425465431, -2.1850398633, 1.5574077247, -0.2910061914, 1.5574077247, more...

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

a(n)=tan(gcd(n, 6))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n6gW

Sequence 0wjtvl4omw3dj

-0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, 0.9092974268, 0.1411200081, 0.9092974268, 0.8414709848, -0.2794154982, 0.8414709848, more...

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

a(n)=sin(gcd(n, 6))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n6gS

Sequence kjrf1l2pu3pyp

-0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, -0.4161468365, 0.5403023059, -0.6536436209, 0.5403023059, -0.4161468365, 0.5403023059, -0.1455000338, 0.5403023059, more...

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

a(n)=cos(gcd(n, 8))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n8gO

Sequence yrspllkegkt2f

-0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, 1.5574077247, -0.1425465431, 1.5574077247, more...

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

a(n)=tan(gcd(n, 3))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n3gW

Sequence mo5w2qny2gdjc

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

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

a(n)=Ω(gcd(n, 7))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n7gΩ

Sequence ic315tcehwypg

0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, 0, 0, 0, 0, 0, 1.9459101491, 0, more...

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

a(n)=Λ(gcd(n, 7))
gcd(a,b)=greatest common divisor
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n7gΛ

Sequence hng1fctrx4zxe

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

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

a(n)=Ω(gcd(n, 5))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n5gΩ

Sequence rxiihbrbqdtxi

0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, 0, 0, 0, 0, 1.6094379124, more...

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

a(n)=Λ(gcd(n, 5))
gcd(a,b)=greatest common divisor
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n5gΛ

Sequence fz03vupewgv2k

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

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

a(n)=Ω(gcd(n, 9))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n9gΩ

Sequence 2rpfc11uen41m

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

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

a(n)=Ω(gcd(n, a(n-1)))
a(0)=0
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥0
4 operations
PrimeRecursive
nrgΩ

Sequence gdwpn52wtcbbe

0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, 1.0986122887, 0, 0, more...

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

a(n)=Λ(gcd(n, 3))
gcd(a,b)=greatest common divisor
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n3gΛ

Sequence uovjeuixgxhrf

0, 0.6931471806, 0, 0.6931471806, 1.6094379124, 0.6931471806, 0, 0.6931471806, 0, 0, 0, 0.6931471806, 0, 0.6931471806, 1.6094379124, 0.6931471806, 0, 0.6931471806, 0, 0, 0, 0.6931471806, 0, 0.6931471806, 1.6094379124, 0.6931471806, 0, 0.6931471806, 0, 0, 0, 0.6931471806, 0, 0.6931471806, 1.6094379124, 0.6931471806, 0, 0.6931471806, 0, 0, 0, 0.6931471806, 0, 0.6931471806, 1.6094379124, 0.6931471806, 0, 0.6931471806, 0, 0, more...

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

a(n)=Λ(gcd(n, 10))
gcd(a,b)=greatest common divisor
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n10gΛ

Sequence bshzlhy2nxygn

0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 0, 0, 0, 0.6931471806, more...

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

a(n)=Λ(gcd(n, 6))
gcd(a,b)=greatest common divisor
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n6gΛ

Sequence gls00hdsraqjo

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

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

a(n)=Ω(gcd(n, 10))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n10gΩ

Sequence bwavcjtotz2po

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

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

a(n)=Ω(gcd(n, 8))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n8gΩ

Sequence uobioqs1buyyg

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

integer, non-constant, periodic, non-monotonic, +0, A171182

a(n)=Ω(gcd(n, 6))
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥1
4 operations
Prime
n6gΩ

Sequence qh0axtf54oq4m

0, 1, 2, 1, 4, 1, 6, 1, 8, 3, 1, 11, 1, 13, 1, 15, 2, 1, 18, 1, 20, 3, 1, 23, 1, 25, 2, 1, 28, 1, 30, 1, 32, 1, 34, 1, 36, 1, 38, 1, 40, 1, 42, 1, 44, 3, 1, 47, 1, 49, more...

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

a(n)=gcd(n, Ω(a(n-1)))
a(0)=0
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
nrΩg

Sequence zimb2rpjt0gcf

0, 1, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, more...

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

a(n)=p(gcd(a(n-1), a(n-2)))
a(0)=0
a(1)=1
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rsgp

Sequence dknwrixqpzhck

0, 3, 3, 7, 3, 3, 7, 19, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 19, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 3, 3, 7, 19, more...

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

a(n)=p(gcd(n, a(n-1)))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
nrgp

Sequence 5tsjvs01i0tep

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

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

a(n)=gcd(Ω(a(n-1)), 4)
a(0)=0
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rΩ4g

Sequence rummfw4d3dolj

0, 4, 3, 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)=τ(gcd(a(n-1), 8))
a(0)=0
gcd(a,b)=greatest common divisor
τ(n)=number of divisors of n
n≥0
4 operations
PrimeRecursive
r8gτ

Sequence y1obarye0yapn

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

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

a(n)=gcd(Ω(a(n-1)), 6)
a(0)=0
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rΩ6g

Sequence v20dnrnu0qfho

0, 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, non-monotonic, +0

a(n)=gcd(Ω(a(n-1)), 7)
a(0)=0
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rΩ7g

Sequence gax4bm5lrknt

0, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, more...

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

a(n)=p(gcd(a(n-1), 3))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r3gp

Sequence a3oq1sudkzfdi

0, 8, 4, 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)=gcd(τ(a(n-1)), 8)
a(0)=0
τ(n)=number of divisors of n
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rτ8g

Sequence 2ty3g2ofloj3k

0, 8, 4, 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, more...

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

a(n)=gcd(ϕ(a(n-1)), 8)
a(0)=0
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rϕ8g

Sequence b2fnjqrvt3c1c

0, 10, 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, more...

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

a(n)=gcd(ϕ(a(n-1)), 10)
a(0)=0
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rϕ10g

Sequence okyo0rz2aephg

0, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, 2, 1, 10, more...

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

a(n)=gcd(Ω(a(n-1)), 10)
a(0)=0
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥0
4 operations
PrimeRecursive
rΩ10g

Sequence 13bk5nqer24fc

0, 11, 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, non-constant, non-monotonic, +0

a(n)=p(gcd(a(n-1), 4))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r4gp

Sequence djhn1va3ir4qh

0, 13, 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, non-constant, non-monotonic, +0

a(n)=p(gcd(a(n-1), 5))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r5gp

Sequence sypxhserndslf

0, 17, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, more...

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

a(n)=p(gcd(a(n-1), 6))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r6gp

Sequence i14ua5clclewk

0, 19, 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, non-constant, non-monotonic, +0

a(n)=p(gcd(a(n-1), 7))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r7gp

Sequence e4c3jne0fhlvk

0, 23, 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, non-constant, non-monotonic, +0

a(n)=p(gcd(a(n-1), 8))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r8gp

Sequence 2j4n4a4mbrthp

0, 29, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, more...

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

a(n)=p(gcd(a(n-1), 9))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r9gp

Sequence ts41qozk1rybi

0, 31, 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, non-constant, non-monotonic, +0

a(n)=p(gcd(a(n-1), 10))
a(0)=0
gcd(a,b)=greatest common divisor
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
r10gp

Sequence slri3cvx5ieyl

0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, more...

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

a(n)=sin(gcd(n, 3))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n3gS

Sequence e3d55rrxn2j3l

0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.2836621855, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, more...

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

a(n)=cos(gcd(n, 5))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n5gO

Sequence kvpisl4clxded

0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, 0.8414709848, 0.4121184852, 0.8414709848, 0.8414709848, 0.1411200081, 0.8414709848, more...

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

a(n)=sin(gcd(n, 9))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n9gS

Sequence qsabq3mu0u3ll

0.6483608275, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, -3.3805150062, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, 0.6483608275, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, -3.3805150062, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, 0.6483608275, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, -3.3805150062, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, 0.6483608275, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, -3.3805150062, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, 0.6483608275, 1.5574077247, -2.1850398633, 1.5574077247, -2.1850398633, -3.3805150062, -2.1850398633, 1.5574077247, -2.1850398633, 1.5574077247, more...

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

a(n)=tan(gcd(n, 10))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n10gW

Sequence wtyonvmmcff2f

0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.6569865987, more...

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

a(n)=sin(gcd(n, 7))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n7gS

Sequence vfpuokuevitzb

0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.5403023059, 0.7539022543, more...

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

a(n)=cos(gcd(n, 7))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n7gO

Sequence jwsqbvog2swwb

0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, 0.8414709848, more...

decimal, constant, periodic, monotonic, +

a(n)=sin(gcd(n, 1))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n1gS

Sequence ajqkovoqulvgj

0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 1.5574077247, 0.8714479827, more...

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

a(n)=tan(gcd(n, 7))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n7gW

Sequence atbbyhg3a15cf

0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, 0.9092974268, 0.8414709848, more...

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

a(n)=sin(gcd(n, 2))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n2gS

Sequence b1c0wld10ekqp

0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, -0.4161468365, -0.9899924966, -0.4161468365, 0.5403023059, 0.9601702867, 0.5403023059, more...

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

a(n)=cos(gcd(n, 6))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n6gO

Sequence nz5sy3y1g4lcg

0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, 0.9092974268, 0.8414709848, -0.7568024953, 0.8414709848, 0.9092974268, 0.8414709848, 0.9893582466, 0.8414709848, more...

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

a(n)=sin(gcd(n, 8))
gcd(a,b)=greatest common divisor
n≥0
4 operations
Prime
n8gS

Sequence fnbib4bb0h41p

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-constant, periodic, non-monotonic, +-

a(n)=μ(gcd(n, 6))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n6gμ

Sequence mttb2xlsmy0ck

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-constant, periodic, non-monotonic, +-

a(n)=μ(gcd(n, 10))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n10gμ

Sequence rwneitrgvdz1n

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

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

a(n)=μ(gcd(n, 4))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n4gμ

Sequence kdhn21s40encm

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-constant, periodic, non-monotonic, +-

a(n)=λ(gcd(n, 8))
gcd(a,b)=greatest common divisor
λ(n)=Liouville's function
n≥1
4 operations
Prime
n8gλ

Sequence psfpdfugiozlb

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-constant, periodic, non-monotonic, +-

a(n)=λ(gcd(n, 4))
gcd(a,b)=greatest common divisor
λ(n)=Liouville's function
n≥1
4 operations
Prime
n4gλ

Sequence vvpxabs3yofip

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

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

a(n)=Ω(gcd(n, a(n-1)))
a(0)=1
gcd(a,b)=greatest common divisor
Ω(n)=max factorization terms
n≥0
4 operations
PrimeRecursive
nrgΩ

Sequence tdzgawvza0vmf

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-constant, periodic, non-monotonic, +-, A131561

a(n)=μ(gcd(n, 3))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n3gμ

Sequence oxaroikfwkvdp

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

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

a(n)=μ(gcd(n, 9))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n9gμ

Sequence bjt3fqxurkzte

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-constant, periodic, non-monotonic, +-

a(n)=λ(gcd(n, 9))
gcd(a,b)=greatest common divisor
λ(n)=Liouville's function
n≥1
4 operations
Prime
n9gλ

Sequence trsjua31gosgb

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-constant, periodic, non-monotonic, +-

a(n)=μ(gcd(n, 5))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n5gμ

Sequence a0ytkuqkztebc

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-constant, periodic, non-monotonic, +-

a(n)=μ(gcd(n, 7))
gcd(a,b)=greatest common divisor
μ(n)=Möbius function
n≥1
4 operations
Prime
n7gμ

Sequence lucq4jqv5qctm

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

integer, non-constant, non-monotonic, +

a(n)=gcd(ϕ(n), 7)
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nϕ7g

Sequence momp40ddj5xpb

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

integer, non-constant, non-monotonic, +

a(n)=gcd(τ(n), 5)
τ(n)=number of divisors of n
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nτ5g

Sequence ltevgasr0v0nd

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

integer, non-constant, non-monotonic, +

a(n)=gcd(ϕ(n), 5)
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nϕ5g

Sequence jhxmy0pka1ugk

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

integer, non-constant, periodic, non-monotonic, +, A022931

a(n)=τ(gcd(n, 7))
gcd(a,b)=greatest common divisor
τ(n)=number of divisors of n
n≥1
4 operations
Prime
n7gτ

Sequence rw5gc2lkveuqf

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

integer, non-constant, non-monotonic, +, A060839

a(n)=gcd(ϕ(n), 3)
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nϕ3g

Sequence qorwbsuk3tq3g

1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 3, 9, 1, 3, 1, 1, 1, 1, 3, 9, 3, 1, 1, 3, 1, 1, 1, 3, 3, 9, 9, 3, 1, 1, 3, 3, 1, 3, 1, 1, 1, 3, 1, more...

integer, non-constant, non-monotonic, +

a(n)=gcd(ϕ(n), 9)
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nϕ9g

Sequence acksv2xaoxsol

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

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

a(n)=ϕ(gcd(n, 7))
gcd(a,b)=greatest common divisor
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
n7gϕ

Sequence f1empxt4uhglj

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

integer, non-constant, periodic, non-monotonic, +, A177706

a(n)=τ(gcd(n, 5))
gcd(a,b)=greatest common divisor
τ(n)=number of divisors of n
n≥1
4 operations
Prime
n5gτ

Sequence 4viohjbqt2ibe

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

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

a(n)=ϕ(gcd(n, 5))
gcd(a,b)=greatest common divisor
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
n5gϕ

Sequence eatiagbxlldqg

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

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

a(n)=ϕ(gcd(n, 8))
gcd(a,b)=greatest common divisor
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
n8gϕ

Sequence mrucnyzjneaao

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

integer, non-constant, non-monotonic, +

a(n)=gcd(n, Ω(n))
Ω(n)=max factorization terms
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nnΩg

Sequence 0ytuwmyebdjdf

1, 1, 1, 2, 1, 2, 1, 4, 3, 2, 1, 4, 1, 2, 1, 8, 1, 6, 1, 4, 3, 2, 1, 8, 5, 2, 9, 4, 1, 2, 1, 16, 1, 2, 1, 12, 1, 2, 3, 8, 1, 6, 1, 4, 3, 2, 1, 16, 7, 10, more...

integer, non-constant, non-monotonic, +, A009195

a(n)=gcd(n, ϕ(n))
ϕ(n)=Euler's totient function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nnϕg

Sequence ivggysc52lczg

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

integer, non-constant, non-monotonic, +

a(n)=gcd(τ(n), 3)
τ(n)=number of divisors of n
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nτ3g

Sequence rygseej3d1nh

1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 3, 3, more...

integer, non-constant, non-monotonic, +

a(n)=gcd(τ(n), 9)
τ(n)=number of divisors of n
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nτ9g

Sequence 5vmiil211itnc

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

integer, non-constant, non-monotonic, +

a(n)=gcd(μ(n), 3)
μ(n)=Möbius function
gcd(a,b)=greatest common divisor
n≥1
4 operations
Prime
nμ3g