Sequence Database

A database with 899757 machine generated integer and decimal sequences.

Displaying result 0-99 of total 135555. [0] [1] [2] [3] [4] ... [1355]

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 fuae1h3b5z4np

-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, -

a(n)=-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
3 operations
Prime

Sequence 43zc32dqwowvn

1, 1, 4, 4, 16, 4, 36, 16, 36, 16, 100, 16, 144, 36, 64, 64, 256, 36, 324, 64, 144, 100, 484, 64, 400, 144, 324, 144, 784, 64, 900, 256, 400, 256, 576, 144, 1296, 324, 576, 256, 1600, 144, 1764, 400, 576, 484, 2116, 256, 1764, 400, more...

integer, non-monotonic, +, A127473

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

Sequence fopj3izyyyfzb

1, 2, 6, 8, 20, 12, 42, 32, 54, 40, 110, 48, 156, 84, 120, 128, 272, 108, 342, 160, 252, 220, 506, 192, 500, 312, 486, 336, 812, 240, 930, 512, 660, 544, 840, 432, 1332, 684, 936, 640, 1640, 504, 1806, 880, 1080, 1012, 2162, 768, 2058, 1000, more...

integer, non-monotonic, +, A002618

a(n)=ϕ(n²)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
3 operations
Prime

Sequence 1akznwv5e0ljd

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

integer, non-monotonic, +

a(n)=stern(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
stern(n)=Stern-Brocot sequence
n≥1
3 operations
Prime

Sequence gmysk4tgxf0sn

1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 4, 1, 4, 2, 2, 1, 4, 2, 6, 2, 4, 4, 6, 1, 6, 4, 4, 2, 6, 2, 4, 1, 2, 4, 6, 2, 10, 6, 4, 2, 10, 4, 12, 4, 4, 6, 6, 1, 6, 6, more...

integer, non-monotonic, +

a(n)=ϕ(stern(n))
stern(n)=Stern-Brocot sequence
ϕ(n)=number of relative primes (Euler's totient)
n≥1
3 operations
Prime

Sequence 1w3kesgurbqsm

-9, -9, -8, -8, -6, -8, -4, -6, -4, -6, 0, -6, 2, -4, -2, -2, 6, -4, 8, -2, 2, 0, 12, -2, 10, 2, 8, 2, 18, -2, 20, 6, 10, 6, 14, 2, 26, 8, 14, 6, 30, 2, 32, 10, 14, 12, 36, 6, 32, 10, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-10
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence wxih3dqngztol

-8, -8, -7, -7, -5, -7, -3, -5, -3, -5, 1, -5, 3, -3, -1, -1, 7, -3, 9, -1, 3, 1, 13, -1, 11, 3, 9, 3, 19, -1, 21, 7, 11, 7, 15, 3, 27, 9, 15, 7, 31, 3, 33, 11, 15, 13, 37, 7, 33, 11, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-9
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence k4mkqcfexcomm

-7, -7, -6, -6, -4, -6, -2, -4, -2, -4, 2, -4, 4, -2, 0, 0, 8, -2, 10, 0, 4, 2, 14, 0, 12, 4, 10, 4, 20, 0, 22, 8, 12, 8, 16, 4, 28, 10, 16, 8, 32, 4, 34, 12, 16, 14, 38, 8, 34, 12, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-8
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence vk44aw2ahbnrg

-6, -6, -5, -5, -3, -5, -1, -3, -1, -3, 3, -3, 5, -1, 1, 1, 9, -1, 11, 1, 5, 3, 15, 1, 13, 5, 11, 5, 21, 1, 23, 9, 13, 9, 17, 5, 29, 11, 17, 9, 33, 5, 35, 13, 17, 15, 39, 9, 35, 13, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-7
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence fu23tjaybn1dk

-5, -5, -4, -4, -2, -4, 0, -2, 0, -2, 4, -2, 6, 0, 2, 2, 10, 0, 12, 2, 6, 4, 16, 2, 14, 6, 12, 6, 22, 2, 24, 10, 14, 10, 18, 6, 30, 12, 18, 10, 34, 6, 36, 14, 18, 16, 40, 10, 36, 14, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-6
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence tgetzqa0otovh

-4, -4, -3, -3, -1, -3, 1, -1, 1, -1, 5, -1, 7, 1, 3, 3, 11, 1, 13, 3, 7, 5, 17, 3, 15, 7, 13, 7, 23, 3, 25, 11, 15, 11, 19, 7, 31, 13, 19, 11, 35, 7, 37, 15, 19, 17, 41, 11, 37, 15, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-5
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence jbrqyfh0a23dh

-3, -3, -2, -2, 0, -2, 2, 0, 2, 0, 6, 0, 8, 2, 4, 4, 12, 2, 14, 4, 8, 6, 18, 4, 16, 8, 14, 8, 24, 4, 26, 12, 16, 12, 20, 8, 32, 14, 20, 12, 36, 8, 38, 16, 20, 18, 42, 12, 38, 16, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-4
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence hs4ujxqqtb52j

-2.1415926536, -2.1415926536, -1.1415926536, -1.1415926536, 0.8584073464, -1.1415926536, 2.8584073464, 0.8584073464, 2.8584073464, 0.8584073464, 6.8584073464, 0.8584073464, 8.8584073464, 2.8584073464, 4.8584073464, 4.8584073464, 12.8584073464, 2.8584073464, 14.8584073464, 4.8584073464, 8.8584073464, 6.8584073464, 18.8584073464, 4.8584073464, 16.8584073464, more...

decimal, non-monotonic, +-

a(n)=ϕ(n)-π
ϕ(n)=number of relative primes (Euler's totient)
π=3.141...
n≥1
4 operations
Prime

Sequence vtupyfruyzyhd

-2, -2, -1, -1, 1, -1, 3, 1, 3, 1, 7, 1, 9, 3, 5, 5, 13, 3, 15, 5, 9, 7, 19, 5, 17, 9, 15, 9, 25, 5, 27, 13, 17, 13, 21, 9, 33, 15, 21, 13, 37, 9, 39, 17, 21, 19, 43, 13, 39, 17, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-3
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xum1nydpgqwcm

-1, -1, 0, 0, 2, 0, 4, 2, 4, 2, 8, 2, 10, 4, 6, 6, 14, 4, 16, 6, 10, 8, 20, 6, 18, 10, 16, 10, 26, 6, 28, 14, 18, 14, 22, 10, 34, 16, 22, 14, 38, 10, 40, 18, 22, 20, 44, 14, 40, 18, more...

integer, non-monotonic, +-

a(n)=ϕ(n)-2
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence trmlrn5ecnoyk

0, 0, -1, -1, -3, -1, -5, -3, -5, -3, -9, -3, -11, -5, -7, -7, -15, -5, -17, -7, -11, -9, -21, -7, -19, -11, -17, -11, -27, -7, -29, -15, -19, -15, -23, -11, -35, -17, -23, -15, -39, -11, -41, -19, -23, -21, -45, -15, -41, -19, more...

integer, non-monotonic, -

a(n)=1-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence wqcp1gvda4hph

0, 0, 1, 1, 3, 1, 5, 3, 5, 3, 9, 3, 11, 5, 7, 7, 15, 5, 17, 7, 11, 9, 21, 7, 19, 11, 17, 11, 27, 7, 29, 15, 19, 15, 23, 11, 35, 17, 23, 15, 39, 11, 41, 19, 23, 21, 45, 15, 41, 19, more...

integer, non-monotonic, +, A109606

a(n)=ϕ(n)-1
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence tz2gyerovmugh

0.1, 0.1, 0.2, 0.2, 0.4, 0.2, 0.6, 0.4, 0.6, 0.4, 1, 0.4, 1.2, 0.6, 0.8, 0.8, 1.6, 0.6, 1.8, 0.8, 1.2, 1, 2.2, 0.8, 2, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/10
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence fi5aqjqtqruhk

0.1111111111, 0.1111111111, 0.2222222222, 0.2222222222, 0.4444444444, 0.2222222222, 0.6666666667, 0.4444444444, 0.6666666667, 0.4444444444, 1.1111111111, 0.4444444444, 1.3333333333, 0.6666666667, 0.8888888889, 0.8888888889, 1.7777777778, 0.6666666667, 2, 0.8888888889, 1.3333333333, 1.1111111111, 2.4444444444, 0.8888888889, 2.2222222222, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/9
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xgjwzez1y3lie

0.125, 0.125, 0.25, 0.25, 0.5, 0.25, 0.75, 0.5, 0.75, 0.5, 1.25, 0.5, 1.5, 0.75, 1, 1, 2, 0.75, 2.25, 1, 1.5, 1.25, 2.75, 1, 2.5, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/8
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 5hpgkm4otogcc

0.1428571429, 0.1428571429, 0.2857142857, 0.2857142857, 0.5714285714, 0.2857142857, 0.8571428571, 0.5714285714, 0.8571428571, 0.5714285714, 1.4285714286, 0.5714285714, 1.7142857143, 0.8571428571, 1.1428571429, 1.1428571429, 2.2857142857, 0.8571428571, 2.5714285714, 1.1428571429, 1.7142857143, 1.4285714286, 3.1428571429, 1.1428571429, 2.8571428571, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/7
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 3epni4ujobxtl

0.1666666667, 0.1666666667, 0.3333333333, 0.3333333333, 0.6666666667, 0.3333333333, 1, 0.6666666667, 1, 0.6666666667, 1.6666666667, 0.6666666667, 2, 1, 1.3333333333, 1.3333333333, 2.6666666667, 1, 3, 1.3333333333, 2, 1.6666666667, 3.6666666667, 1.3333333333, 3.3333333333, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/6
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xanhweifmsdgg

0.2, 0.2, 0.4, 0.4, 0.8, 0.4, 1.2, 0.8, 1.2, 0.8, 2, 0.8, 2.4, 1.2, 1.6, 1.6, 3.2, 1.2, 3.6, 1.6, 2.4, 2, 4.4, 1.6, 4, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/5
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence az53qk1uhs3al

0.25, 0.25, 0.5, 0.5, 1, 0.5, 1.5, 1, 1.5, 1, 2.5, 1, 3, 1.5, 2, 2, 4, 1.5, 4.5, 2, 3, 2.5, 5.5, 2, 5, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/4
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence y2k4fqrwwxwom

0.3183098862, 0.3183098862, 0.6366197724, 0.6366197724, 1.2732395447, 0.6366197724, 1.9098593171, 1.2732395447, 1.9098593171, 1.2732395447, 3.1830988618, 1.2732395447, 3.8197186342, 1.9098593171, 2.5464790895, 2.5464790895, 5.0929581789, 1.9098593171, 5.7295779513, 2.5464790895, 3.8197186342, 3.1830988618, 7.002817496, 2.5464790895, 6.3661977237, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/π
ϕ(n)=number of relative primes (Euler's totient)
π=3.141...
n≥1
4 operations
Prime

Sequence 1g2qogeyg5qjf

0.3333333333, 0.3333333333, 0.6666666667, 0.6666666667, 1.3333333333, 0.6666666667, 2, 1.3333333333, 2, 1.3333333333, 3.3333333333, 1.3333333333, 4, 2, 2.6666666667, 2.6666666667, 5.3333333333, 2, 6, 2.6666666667, 4, 3.3333333333, 7.3333333333, 2.6666666667, 6.6666666667, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/3
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence rmmsrmawxa1ol

0.5, 0.5, 1, 1, 2, 1, 3, 2, 3, 2, 5, 2, 6, 3, 4, 4, 8, 3, 9, 4, 6, 5, 11, 4, 10, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/2
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 5jcctxj1chvdc

1, 1, 0, 0, -2, 0, -4, -2, -4, -2, -8, -2, -10, -4, -6, -6, -14, -4, -16, -6, -10, -8, -20, -6, -18, -10, -16, -10, -26, -6, -28, -14, -18, -14, -22, -10, -34, -16, -22, -14, -38, -10, -40, -18, -22, -20, -44, -14, -40, -18, more...

integer, non-monotonic, +-

a(n)=2-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence uhubfrm4b2xrl

1, 1, 0.5, 0.5, 0.25, 0.5, 0.1666666667, 0.25, 0.1666666667, 0.25, 0.1, 0.25, 0.0833333333, 0.1666666667, 0.125, 0.125, 0.0625, 0.1666666667, 0.0555555556, 0.125, 0.0833333333, 0.1, 0.0454545455, 0.125, 0.05, more...

decimal, non-monotonic, +

a(n)=1/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xfh4k0kcnowyk

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, 32, more...

integer, non-monotonic, +

a(n)=ϕ(2+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence 5lhbwbxrclzpb

1, 2, 2, 4, 4, 4, 6, 8, 6, 8, 10, 8, 12, 12, 8, 16, 16, 12, 18, 16, 12, 20, 22, 16, 20, 24, 18, 24, 28, 16, 30, 32, 20, 32, 24, 24, 36, 36, 24, 32, 40, 24, 42, 40, 24, 44, 46, 32, 42, 40, more...

integer, non-monotonic, +, A062570

a(n)=ϕ(2*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence p00lx2bjpg05e

2, 2, 1, 1, -1, 1, -3, -1, -3, -1, -7, -1, -9, -3, -5, -5, -13, -3, -15, -5, -9, -7, -19, -5, -17, -9, -15, -9, -25, -5, -27, -13, -17, -13, -21, -9, -33, -15, -21, -13, -37, -9, -39, -17, -21, -19, -43, -13, -39, -17, more...

integer, non-monotonic, +-

a(n)=3-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence lzcrx5erpip0o

2, 2, 1, 1, 0.5, 1, 0.3333333333, 0.5, 0.3333333333, 0.5, 0.2, 0.5, 0.1666666667, 0.3333333333, 0.25, 0.25, 0.125, 0.3333333333, 0.1111111111, 0.25, 0.1666666667, 0.2, 0.0909090909, 0.25, 0.1, more...

decimal, non-monotonic, +

a(n)=2/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence lxfxokbg0gv0g

2, 2, 3, 3, 5, 3, 7, 5, 7, 5, 11, 5, 13, 7, 9, 9, 17, 7, 19, 9, 13, 11, 23, 9, 21, 13, 19, 13, 29, 9, 31, 17, 21, 17, 25, 13, 37, 19, 25, 17, 41, 13, 43, 21, 25, 23, 47, 17, 43, 21, more...

integer, non-monotonic, +, A039649

a(n)=1+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence rel0ppixg1m2l

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, 32, 24, more...

integer, non-monotonic, +

a(n)=ϕ(3+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence w3eupuik33bu

2, 2, 4, 4, 8, 4, 12, 8, 12, 8, 20, 8, 24, 12, 16, 16, 32, 12, 36, 16, 24, 20, 44, 16, 40, 24, 36, 24, 56, 16, 60, 32, 40, 32, 48, 24, 72, 36, 48, 32, 80, 24, 84, 40, 48, 44, 92, 32, 84, 40, more...

integer, non-monotonic, +

a(n)=2*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence hh4x0pryghihl

2, 2, 6, 4, 8, 6, 12, 8, 18, 8, 20, 12, 24, 12, 24, 16, 32, 18, 36, 16, 36, 20, 44, 24, 40, 24, 54, 24, 56, 24, 60, 32, 60, 32, 48, 36, 72, 36, 72, 32, 80, 36, 84, 40, 72, 44, 92, 48, 84, 40, more...

integer, non-monotonic, +

a(n)=ϕ(3*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence y5qa5qx4ua2pk

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, 32, 24, 52, more...

integer, non-monotonic, +

a(n)=ϕ(4+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence rnt4jdjeaavwo

2, 4, 4, 8, 8, 8, 12, 16, 12, 16, 20, 16, 24, 24, 16, 32, 32, 24, 36, 32, 24, 40, 44, 32, 40, 48, 36, 48, 56, 32, 60, 64, 40, 64, 48, 48, 72, 72, 48, 64, 80, 48, 84, 80, 48, 88, 92, 64, 84, 80, more...

integer, non-monotonic, +

a(n)=ϕ(4*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence dsn1vb3awgkkd

2, 4, 6, 8, 8, 12, 12, 16, 18, 16, 20, 24, 24, 24, 24, 32, 32, 36, 36, 32, 36, 40, 44, 48, 40, 48, 54, 48, 56, 48, 60, 64, 60, 64, 48, 72, 72, 72, 72, 64, 80, 72, 84, 80, 72, 88, 92, 96, 84, 80, more...

integer, non-monotonic, +

a(n)=ϕ(6*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence arg3xjeskrfpg

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, 32, 24, 52, 18, 40, more...

integer, non-monotonic, +

a(n)=ϕ(6+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence 4idiqfzdydhxi

2.1415926536, 2.1415926536, 1.1415926536, 1.1415926536, -0.8584073464, 1.1415926536, -2.8584073464, -0.8584073464, -2.8584073464, -0.8584073464, -6.8584073464, -0.8584073464, -8.8584073464, -2.8584073464, -4.8584073464, -4.8584073464, -12.8584073464, -2.8584073464, -14.8584073464, -4.8584073464, -8.8584073464, -6.8584073464, -18.8584073464, -4.8584073464, -16.8584073464, more...

decimal, non-monotonic, +-

a(n)=π-ϕ(n)
π=3.141...
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence snjkdhqky5wh

3, 3, 1.5, 1.5, 0.75, 1.5, 0.5, 0.75, 0.5, 0.75, 0.3, 0.75, 0.25, 0.5, 0.375, 0.375, 0.1875, 0.5, 0.1666666667, 0.375, 0.25, 0.3, 0.1363636364, 0.375, 0.15, more...

decimal, non-monotonic, +

a(n)=3/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence gt5xvmgbfvurf

3, 3, 2, 2, 0, 2, -2, 0, -2, 0, -6, 0, -8, -2, -4, -4, -12, -2, -14, -4, -8, -6, -18, -4, -16, -8, -14, -8, -24, -4, -26, -12, -16, -12, -20, -8, -32, -14, -20, -12, -36, -8, -38, -16, -20, -18, -42, -12, -38, -16, more...

integer, non-monotonic, +-

a(n)=4-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence vfmgmxp3udusi

3, 3, 4, 4, 6, 4, 8, 6, 8, 6, 12, 6, 14, 8, 10, 10, 18, 8, 20, 10, 14, 12, 24, 10, 22, 14, 20, 14, 30, 10, 32, 18, 22, 18, 26, 14, 38, 20, 26, 18, 42, 14, 44, 22, 26, 24, 48, 18, 44, 22, more...

integer, non-monotonic, +

a(n)=2+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xvpdqdjoh2cvg

3, 3, 6, 6, 12, 6, 18, 12, 18, 12, 30, 12, 36, 18, 24, 24, 48, 18, 54, 24, 36, 30, 66, 24, 60, 36, 54, 36, 84, 24, 90, 48, 60, 48, 72, 36, 108, 54, 72, 48, 120, 36, 126, 60, 72, 66, 138, 48, 126, 60, more...

integer, non-monotonic, +, A200905

a(n)=3*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence o3ph3bzl2jyzm

3.1415926536, 3.1415926536, 1.5707963268, 1.5707963268, 0.7853981634, 1.5707963268, 0.5235987756, 0.7853981634, 0.5235987756, 0.7853981634, 0.3141592654, 0.7853981634, 0.2617993878, 0.5235987756, 0.3926990817, 0.3926990817, 0.1963495408, 0.5235987756, 0.1745329252, 0.3926990817, 0.2617993878, 0.3141592654, 0.1427996661, 0.3926990817, 0.1570796327, more...

decimal, non-monotonic, +

a(n)=π/ϕ(n)
π=3.141...
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence o3hpfyzwcjc3b

3.1415926536, 3.1415926536, 6.2831853072, 6.2831853072, 12.5663706144, 6.2831853072, 18.8495559215, 12.5663706144, 18.8495559215, 12.5663706144, 31.4159265359, 12.5663706144, 37.6991118431, 18.8495559215, 25.1327412287, 25.1327412287, 50.2654824574, 18.8495559215, 56.5486677646, 25.1327412287, 37.6991118431, 31.4159265359, 69.115038379, 25.1327412287, 62.8318530718, more...

decimal, non-monotonic, +

a(n)=π*ϕ(n)
π=3.141...
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence uv5wucfmeym0b

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, 32, 24, 52, 18, more...

integer, non-monotonic, +

a(n)=ϕ(5+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence ubpia5ylewhzb

4, 4, 2, 2, 1, 2, 0.6666666667, 1, 0.6666666667, 1, 0.4, 1, 0.3333333333, 0.6666666667, 0.5, 0.5, 0.25, 0.6666666667, 0.2222222222, 0.5, 0.3333333333, 0.4, 0.1818181818, 0.5, 0.2, more...

decimal, non-monotonic, +

a(n)=4/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 3oaz1etxjjtm

4, 4, 3, 3, 1, 3, -1, 1, -1, 1, -5, 1, -7, -1, -3, -3, -11, -1, -13, -3, -7, -5, -17, -3, -15, -7, -13, -7, -23, -3, -25, -11, -15, -11, -19, -7, -31, -13, -19, -11, -35, -7, -37, -15, -19, -17, -41, -11, -37, -15, more...

integer, non-monotonic, +-

a(n)=5-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence nmlzgdwv4gdpi

4, 4, 5, 5, 7, 5, 9, 7, 9, 7, 13, 7, 15, 9, 11, 11, 19, 9, 21, 11, 15, 13, 25, 11, 23, 15, 21, 15, 31, 11, 33, 19, 23, 19, 27, 15, 39, 21, 27, 19, 43, 15, 45, 23, 27, 25, 49, 19, 45, 23, more...

integer, non-monotonic, +

a(n)=3+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence akcfvcdtk2duf

4, 4, 8, 8, 16, 8, 24, 16, 24, 16, 40, 16, 48, 24, 32, 32, 64, 24, 72, 32, 48, 40, 88, 32, 80, 48, 72, 48, 112, 32, 120, 64, 80, 64, 96, 48, 144, 72, 96, 64, 160, 48, 168, 80, 96, 88, 184, 64, 168, 80, more...

integer, non-monotonic, +

a(n)=4*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence gqfw4mw2mckid

4, 4, 8, 8, 20, 8, 24, 16, 24, 20, 40, 16, 48, 24, 40, 32, 64, 24, 72, 40, 48, 40, 88, 32, 100, 48, 72, 48, 112, 40, 120, 64, 80, 64, 120, 48, 144, 72, 96, 80, 160, 48, 168, 80, 120, 88, 184, 64, 168, 100, more...

integer, non-monotonic, +

a(n)=ϕ(5*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence vhieboygfvzvb

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, 32, 24, 52, 18, 40, 24, 36, more...

integer, non-monotonic, +

a(n)=ϕ(8+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence q14hziiclnqmm

4, 8, 8, 16, 16, 16, 24, 32, 24, 32, 40, 32, 48, 48, 32, 64, 64, 48, 72, 64, 48, 80, 88, 64, 80, 96, 72, 96, 112, 64, 120, 128, 80, 128, 96, 96, 144, 144, 96, 128, 160, 96, 168, 160, 96, 176, 184, 128, 168, 160, more...

integer, non-monotonic, +

a(n)=ϕ(8*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence ytbbbqrllc52

4, 8, 8, 16, 20, 16, 24, 32, 24, 40, 40, 32, 48, 48, 40, 64, 64, 48, 72, 80, 48, 80, 88, 64, 100, 96, 72, 96, 112, 80, 120, 128, 80, 128, 120, 96, 144, 144, 96, 160, 160, 96, 168, 160, 120, 176, 184, 128, 168, 200, more...

integer, non-monotonic, +

a(n)=ϕ(10*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence s4o1ykm0iu1s

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, 32, 24, 52, 18, 40, 24, 36, 28, 58, more...

integer, non-monotonic, +

a(n)=ϕ(10+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence y1qvicybpwto

4.1415926536, 4.1415926536, 5.1415926536, 5.1415926536, 7.1415926536, 5.1415926536, 9.1415926536, 7.1415926536, 9.1415926536, 7.1415926536, 13.1415926536, 7.1415926536, 15.1415926536, 9.1415926536, 11.1415926536, 11.1415926536, 19.1415926536, 9.1415926536, 21.1415926536, 11.1415926536, 15.1415926536, 13.1415926536, 25.1415926536, 11.1415926536, 23.1415926536, more...

decimal, non-monotonic, +

a(n)=π+ϕ(n)
π=3.141...
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence sc0rtd01ruddc

5, 5, 2.5, 2.5, 1.25, 2.5, 0.8333333333, 1.25, 0.8333333333, 1.25, 0.5, 1.25, 0.4166666667, 0.8333333333, 0.625, 0.625, 0.3125, 0.8333333333, 0.2777777778, 0.625, 0.4166666667, 0.5, 0.2272727273, 0.625, 0.25, more...

decimal, non-monotonic, +

a(n)=5/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence ugodghu4hp5tb

5, 5, 4, 4, 2, 4, 0, 2, 0, 2, -4, 2, -6, 0, -2, -2, -10, 0, -12, -2, -6, -4, -16, -2, -14, -6, -12, -6, -22, -2, -24, -10, -14, -10, -18, -6, -30, -12, -18, -10, -34, -6, -36, -14, -18, -16, -40, -10, -36, -14, more...

integer, non-monotonic, +-

a(n)=6-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 4agknp1e0tkfg

5, 5, 6, 6, 8, 6, 10, 8, 10, 8, 14, 8, 16, 10, 12, 12, 20, 10, 22, 12, 16, 14, 26, 12, 24, 16, 22, 16, 32, 12, 34, 20, 24, 20, 28, 16, 40, 22, 28, 20, 44, 16, 46, 24, 28, 26, 50, 20, 46, 24, more...

integer, non-monotonic, +

a(n)=4+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 0mmlruvatmmee

5, 5, 10, 10, 20, 10, 30, 20, 30, 20, 50, 20, 60, 30, 40, 40, 80, 30, 90, 40, 60, 50, 110, 40, 100, 60, 90, 60, 140, 40, 150, 80, 100, 80, 120, 60, 180, 90, 120, 80, 200, 60, 210, 100, 120, 110, 230, 80, 210, 100, more...

integer, non-monotonic, +

a(n)=5*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence ci2w15ayyzxq

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, 32, 24, 52, 18, 40, 24, more...

integer, non-monotonic, +

a(n)=ϕ(7+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence rny3qhyqd4kkf

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, 32, 24, 52, 18, 40, 24, 36, 28, more...

integer, non-monotonic, +

a(n)=ϕ(9+n)
ϕ(n)=number of relative primes (Euler's totient)
n≥0
4 operations
Prime

Sequence a2gc3erga25we

6, 6, 3, 3, 1.5, 3, 1, 1.5, 1, 1.5, 0.6, 1.5, 0.5, 1, 0.75, 0.75, 0.375, 1, 0.3333333333, 0.75, 0.5, 0.6, 0.2727272727, 0.75, 0.3, more...

decimal, non-monotonic, +

a(n)=6/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence xom3dss0r31yp

6, 6, 5, 5, 3, 5, 1, 3, 1, 3, -3, 3, -5, 1, -1, -1, -9, 1, -11, -1, -5, -3, -15, -1, -13, -5, -11, -5, -21, -1, -23, -9, -13, -9, -17, -5, -29, -11, -17, -9, -33, -5, -35, -13, -17, -15, -39, -9, -35, -13, more...

integer, non-monotonic, +-

a(n)=7-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence fipwr4mbjatgf

6, 6, 7, 7, 9, 7, 11, 9, 11, 9, 15, 9, 17, 11, 13, 13, 21, 11, 23, 13, 17, 15, 27, 13, 25, 17, 23, 17, 33, 13, 35, 21, 25, 21, 29, 17, 41, 23, 29, 21, 45, 17, 47, 25, 29, 27, 51, 21, 47, 25, more...

integer, non-monotonic, +

a(n)=5+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence kldxspy4v5dik

6, 6, 12, 12, 24, 12, 36, 24, 36, 24, 60, 24, 72, 36, 48, 48, 96, 36, 108, 48, 72, 60, 132, 48, 120, 72, 108, 72, 168, 48, 180, 96, 120, 96, 144, 72, 216, 108, 144, 96, 240, 72, 252, 120, 144, 132, 276, 96, 252, 120, more...

integer, non-monotonic, +

a(n)=6*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence ce5z5eqgx2d0b

6, 6, 12, 12, 24, 12, 42, 24, 36, 24, 60, 24, 72, 42, 48, 48, 96, 36, 108, 48, 84, 60, 132, 48, 120, 72, 108, 84, 168, 48, 180, 96, 120, 96, 168, 72, 216, 108, 144, 96, 240, 84, 252, 120, 144, 132, 276, 96, 294, 120, more...

integer, non-monotonic, +

a(n)=ϕ(7*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence sappj3ijfggth

6, 6, 18, 12, 24, 18, 36, 24, 54, 24, 60, 36, 72, 36, 72, 48, 96, 54, 108, 48, 108, 60, 132, 72, 120, 72, 162, 72, 168, 72, 180, 96, 180, 96, 144, 108, 216, 108, 216, 96, 240, 108, 252, 120, 216, 132, 276, 144, 252, 120, more...

integer, non-monotonic, +

a(n)=ϕ(9*n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence m2b5xpp2azj1k

7, 7, 3.5, 3.5, 1.75, 3.5, 1.1666666667, 1.75, 1.1666666667, 1.75, 0.7, 1.75, 0.5833333333, 1.1666666667, 0.875, 0.875, 0.4375, 1.1666666667, 0.3888888889, 0.875, 0.5833333333, 0.7, 0.3181818182, 0.875, 0.35, more...

decimal, non-monotonic, +

a(n)=7/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence if2tohzq1cjbk

7, 7, 6, 6, 4, 6, 2, 4, 2, 4, -2, 4, -4, 2, 0, 0, -8, 2, -10, 0, -4, -2, -14, 0, -12, -4, -10, -4, -20, 0, -22, -8, -12, -8, -16, -4, -28, -10, -16, -8, -32, -4, -34, -12, -16, -14, -38, -8, -34, -12, more...

integer, non-monotonic, +-

a(n)=8-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 3aohjfhpwpjdg

7, 7, 8, 8, 10, 8, 12, 10, 12, 10, 16, 10, 18, 12, 14, 14, 22, 12, 24, 14, 18, 16, 28, 14, 26, 18, 24, 18, 34, 14, 36, 22, 26, 22, 30, 18, 42, 24, 30, 22, 46, 18, 48, 26, 30, 28, 52, 22, 48, 26, more...

integer, non-monotonic, +

a(n)=6+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence igan4lzx4yoxi

7, 7, 14, 14, 28, 14, 42, 28, 42, 28, 70, 28, 84, 42, 56, 56, 112, 42, 126, 56, 84, 70, 154, 56, 140, 84, 126, 84, 196, 56, 210, 112, 140, 112, 168, 84, 252, 126, 168, 112, 280, 84, 294, 140, 168, 154, 322, 112, 294, 140, more...

integer, non-monotonic, +

a(n)=7*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence oxmp2zkv4wgdm

8, 8, 4, 4, 2, 4, 1.3333333333, 2, 1.3333333333, 2, 0.8, 2, 0.6666666667, 1.3333333333, 1, 1, 0.5, 1.3333333333, 0.4444444444, 1, 0.6666666667, 0.8, 0.3636363636, 1, 0.4, more...

decimal, non-monotonic, +

a(n)=8/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence rmzd1sdvhxhem

8, 8, 7, 7, 5, 7, 3, 5, 3, 5, -1, 5, -3, 3, 1, 1, -7, 3, -9, 1, -3, -1, -13, 1, -11, -3, -9, -3, -19, 1, -21, -7, -11, -7, -15, -3, -27, -9, -15, -7, -31, -3, -33, -11, -15, -13, -37, -7, -33, -11, more...

integer, non-monotonic, +-

a(n)=9-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence lns21p2kjzvrp

8, 8, 9, 9, 11, 9, 13, 11, 13, 11, 17, 11, 19, 13, 15, 15, 23, 13, 25, 15, 19, 17, 29, 15, 27, 19, 25, 19, 35, 15, 37, 23, 27, 23, 31, 19, 43, 25, 31, 23, 47, 19, 49, 27, 31, 29, 53, 23, 49, 27, more...

integer, non-monotonic, +

a(n)=7+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 4jexn34vwxkbk

8, 8, 16, 16, 32, 16, 48, 32, 48, 32, 80, 32, 96, 48, 64, 64, 128, 48, 144, 64, 96, 80, 176, 64, 160, 96, 144, 96, 224, 64, 240, 128, 160, 128, 192, 96, 288, 144, 192, 128, 320, 96, 336, 160, 192, 176, 368, 128, 336, 160, more...

integer, non-monotonic, +

a(n)=8*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence fxkptd2tpkdzd

9, 9, 4.5, 4.5, 2.25, 4.5, 1.5, 2.25, 1.5, 2.25, 0.9, 2.25, 0.75, 1.5, 1.125, 1.125, 0.5625, 1.5, 0.5, 1.125, 0.75, 0.9, 0.4090909091, 1.125, 0.45, more...

decimal, non-monotonic, +

a(n)=9/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 5d40dk3np2ge

9, 9, 8, 8, 6, 8, 4, 6, 4, 6, 0, 6, -2, 4, 2, 2, -6, 4, -8, 2, -2, 0, -12, 2, -10, -2, -8, -2, -18, 2, -20, -6, -10, -6, -14, -2, -26, -8, -14, -6, -30, -2, -32, -10, -14, -12, -36, -6, -32, -10, more...

integer, non-monotonic, +-

a(n)=10-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence r5zp4jmp04buj

9, 9, 10, 10, 12, 10, 14, 12, 14, 12, 18, 12, 20, 14, 16, 16, 24, 14, 26, 16, 20, 18, 30, 16, 28, 20, 26, 20, 36, 16, 38, 24, 28, 24, 32, 20, 44, 26, 32, 24, 48, 20, 50, 28, 32, 30, 54, 24, 50, 28, more...

integer, non-monotonic, +

a(n)=8+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence q52kw1qlqavgm

9, 9, 18, 18, 36, 18, 54, 36, 54, 36, 90, 36, 108, 54, 72, 72, 144, 54, 162, 72, 108, 90, 198, 72, 180, 108, 162, 108, 252, 72, 270, 144, 180, 144, 216, 108, 324, 162, 216, 144, 360, 108, 378, 180, 216, 198, 414, 144, 378, 180, more...

integer, non-monotonic, +

a(n)=9*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence qhk4xifjvlnlf

10, 10, 5, 5, 2.5, 5, 1.6666666667, 2.5, 1.6666666667, 2.5, 1, 2.5, 0.8333333333, 1.6666666667, 1.25, 1.25, 0.625, 1.6666666667, 0.5555555556, 1.25, 0.8333333333, 1, 0.4545454545, 1.25, 0.5, more...

decimal, non-monotonic, +

a(n)=10/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence cihmdr2x32tgm

10, 10, 11, 11, 13, 11, 15, 13, 15, 13, 19, 13, 21, 15, 17, 17, 25, 15, 27, 17, 21, 19, 31, 17, 29, 21, 27, 21, 37, 17, 39, 25, 29, 25, 33, 21, 45, 27, 33, 25, 49, 21, 51, 29, 33, 31, 55, 25, 51, 29, more...

integer, non-monotonic, +

a(n)=9+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence iwjrpzb0wryhn

10, 10, 20, 20, 40, 20, 60, 40, 60, 40, 100, 40, 120, 60, 80, 80, 160, 60, 180, 80, 120, 100, 220, 80, 200, 120, 180, 120, 280, 80, 300, 160, 200, 160, 240, 120, 360, 180, 240, 160, 400, 120, 420, 200, 240, 220, 460, 160, 420, 200, more...

integer, non-monotonic, +

a(n)=10*ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence gyxpix54dkxbp

11, 11, 12, 12, 14, 12, 16, 14, 16, 14, 20, 14, 22, 16, 18, 18, 26, 16, 28, 18, 22, 20, 32, 18, 30, 22, 28, 22, 38, 18, 40, 26, 30, 26, 34, 22, 46, 28, 34, 26, 50, 22, 52, 30, 34, 32, 56, 26, 52, 30, more...

integer, non-monotonic, +

a(n)=10+ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence vufq4twofswdc

0, 1, 0, 2, -2, 4, -2, 2, -2, 6, -6, 8, -6, 2, 0, 8, -10, 12, -10, 4, -2, 12, -14, 12, -8, 6, -6, 16, -20, 22, -14, 4, -4, 8, -12, 24, -18, 6, -8, 24, -28, 30, -22, 4, -2, 24, -30, 26, -22, 12, more...

integer, non-monotonic, +-, A057000

a(n)=Δ(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
Δ(a)=differences of a
n≥1
3 operations
Prime

Sequence f0vg4alyo1aoc

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

integer, non-monotonic, +

a(n)=cf(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
cf(a)=characteristic function of a (in range)
n≥1
3 operations
Prime

Sequence zwdeaxoqxexxp

0, 3, 5, 7, 9, 11, 13, 14, 15, 17, 19, 21, 23, 25, 26, 27, 29, 31, 33, 34, 35, 37, 38, 39, 41, 43, 44, 45, 47, 48, 49, 50, more...

integer, strictly-monotonic, +

a(n)=comp(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
comp(a)=complement function of a (in range)
n≥1
3 operations
Prime

Sequence sq1obg3itg0le

1, 1, 2, 4, 16, 32, 192, 768, 4608, 18432, 184320, 737280, 8847360, 53084160, 424673280, 3397386240, 54358179840, more...

integer, monotonic, +, A001088

a(n)=∏(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
∏(a)=partial products of a
n≥1
3 operations
Prime

Sequence cnplwftnlyfv

1, 2, 2, 4, 8, 12, 12, 12, 24, 40, 20, 24, 72, 48, 32, 64, 96, 108, 72, 48, 120, 220, 88, 80, 240, 216, 108, 168, 224, 240, 240, 160, 320, 384, 144, 216, 648, 432, 192, 320, 480, 504, 420, 240, 528, 1012, 368, 336, 840, 640, more...

integer, non-monotonic, +, A086700

a(n)=ϕ(∑(n))
∑(a)=partial sums of a
ϕ(n)=number of relative primes (Euler's totient)
n≥1
3 operations
Prime

Sequence njm20sehsai3i

1, 2, 4, 6, 10, 12, 18, 22, 28, 32, 42, 46, 58, 64, 72, 80, 96, 102, 120, 128, 140, 150, 172, 180, 200, 212, 230, 242, 270, 278, 308, 324, 344, 360, 384, 396, 432, 450, 474, 490, 530, 542, 584, 604, 628, 650, 696, 712, 754, 774, more...

integer, strictly-monotonic, +, A092249

a(n)=∑(ϕ(n))
ϕ(n)=number of relative primes (Euler's totient)
∑(a)=partial sums of a
n≥1
3 operations
Prime

Sequence td1dzjxhx4v0m

3, 6, 12, 48, 768, more...

integer, strictly-monotonic, +, A085866

a(n)=ϕ(a(n-1)²)
a(0)=3
ϕ(n)=number of relative primes (Euler's totient)
n≥0
3 operations
Prime

Sequence wbjbvaz4twzfc

5, 16, 64, 1024, 262144, more...

integer, strictly-monotonic, +

a(n)=ϕ(a(n-1))²
a(0)=5
ϕ(n)=number of relative primes (Euler's totient)
n≥0
3 operations
Prime

Sequence ybxldy14izrhj

0, -1, -1, -2, -1, -4, -1, -4, -3, -6, -1, -8, -1, -8, -7, -8, -1, -12, -1, -12, -9, -12, -1, -16, -5, -14, -9, -16, -1, -22, -1, -16, -13, -18, -11, -24, -1, -20, -15, -24, -1, -30, -1, -24, -21, -24, -1, -32, -7, -30, more...

integer, non-monotonic, -

a(n)=ϕ(n)-n
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence qzhxj2jtgpnf

0, 1, 1, 2, 1, 4, 1, 4, 3, 6, 1, 8, 1, 8, 7, 8, 1, 12, 1, 12, 9, 12, 1, 16, 5, 14, 9, 16, 1, 22, 1, 16, 13, 18, 11, 24, 1, 20, 15, 24, 1, 30, 1, 24, 21, 24, 1, 32, 7, 30, more...

integer, non-monotonic, +, A051953

a(n)=n-ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence n5aboooqmsmid

1, 0.5, 0.6666666667, 0.5, 0.8, 0.3333333333, 0.8571428571, 0.5, 0.6666666667, 0.4, 0.9090909091, 0.3333333333, 0.9230769231, 0.4285714286, 0.5333333333, 0.5, 0.9411764706, 0.3333333333, 0.9473684211, 0.4, 0.5714285714, 0.4545454545, 0.9565217391, 0.3333333333, 0.8, more...

decimal, non-monotonic, +

a(n)=ϕ(n)/n
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

Sequence 4m5ckiue3iktp

1, 2, 1.5, 2, 1.25, 3, 1.1666666667, 2, 1.5, 2.5, 1.1, 3, 1.0833333333, 2.3333333333, 1.875, 2, 1.0625, 3, 1.0555555556, 2.5, 1.75, 2.2, 1.0454545455, 3, 1.25, more...

decimal, non-monotonic, +

a(n)=n/ϕ(n)
ϕ(n)=number of relative primes (Euler's totient)
n≥1
4 operations
Prime

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