Sequence Database

A database with 497817 machine generated integer and decimal sequences.

Displaying the first 100 results.

Sequence 1geoyb5xzuhhk

0, 1, 0.5403023059, 0.8575532158, 0.6542897905, 0.7934803587, 0.7013687736, 0.7639596829, 0.722102425, 0.7504177618, 0.7314040424, 0.7442373549, 0.7356047404, 0.7414250866, 0.7375068905, 0.7401473356, 0.7383692041, 0.7395672022, 0.7387603199, 0.7393038924, 0.7389377567, 0.7391843998, 0.7390182624, 0.7391301765, 0.7390547907, 0.7391055719, 0.7390713653, 0.7390944074, 0.739078886, 0.7390893414, 0.7390822985, 0.7390870427, 0.739083847, 0.7390859996, 0.7390845496, 0.7390855264, 0.7390848684, 0.7390853116, 0.739085013, 0.7390852142, 0.7390850787, 0.7390851699, 0.7390851085, 0.7390851499, 0.739085122, 0.7390851408, 0.7390851281, 0.7390851366, 0.7390851309, 0.7390851348, more...

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

a(n)=cos(a(n-1))
a(0)=0
n≥0
2 operations
Recursive
rO
a(n)=cos(λ(n)*a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
5 operations
PrimeRecursive
nλr*O

Sequence 5as1ecrpxvlwn

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

integer, non-constant, non-monotonic, +-, A008836

a(n)=λ(n)
λ(n)=Liouville's function
n≥1
2 operations
Prime
a(n)=λ(n+abs(a(n-1)))
a(0)=1
λ(n)=Liouville's function
n≥0
5 operations
PrimeRecursive
nr|+λ

Sequence dqjfnt5tdtf1p

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

integer, non-constant, periodic, non-monotonic, +-, A033999

a(n)=cos(n*π)
Pi (3.141...)
n≥0
4 operations
N
nπ*O
a(n)=-a(n-1)
a(0)=1
n≥0
2 operations
Recursive
r~
a(n)=λ(a(n-1)+1)
a(0)=1
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
r1+λ

Sequence ah3e125oj0u1p

1, 0.5403023059, 0.8575532158, 0.6542897905, 0.7934803587, 0.7013687736, 0.7639596829, 0.722102425, 0.7504177618, 0.7314040424, 0.7442373549, 0.7356047404, 0.7414250866, 0.7375068905, 0.7401473356, 0.7383692041, 0.7395672022, 0.7387603199, 0.7393038924, 0.7389377567, 0.7391843998, 0.7390182624, 0.7391301765, 0.7390547907, 0.7391055719, 0.7390713653, 0.7390944074, 0.739078886, 0.7390893414, 0.7390822985, 0.7390870427, 0.739083847, 0.7390859996, 0.7390845496, 0.7390855264, 0.7390848684, 0.7390853116, 0.739085013, 0.7390852142, 0.7390850787, 0.7390851699, 0.7390851085, 0.7390851499, 0.739085122, 0.7390851408, 0.7390851281, 0.7390851366, 0.7390851309, 0.7390851348, 0.7390851322, more...

decimal, non-constant, non-monotonic, +

a(n)=cos(a(n-1))
a(0)=1
n≥0
2 operations
Recursive
rO
a(n)=cos(λ(n)*a(n-1))
a(0)=1
λ(n)=Liouville's function
n≥0
5 operations
PrimeRecursive
nλr*O

Sequence t1quy0niauvve

2, -0.4161468365, 0.9146533259, 0.6100652997, 0.819610608, 0.6825058579, 0.7759946131, 0.713724734, 0.7559287136, 0.7276347923, 0.7467496017, 0.7339005972, 0.7425675503, 0.7367348584, 0.7406662639, 0.7380191412, 0.7398027782, 0.7386015286, 0.7394108086, 0.7388657151, 0.7392329181, 0.7389855755, 0.7391521928, 0.7390399594, 0.7391155621, 0.7390646356, 0.7390989405, 0.7390758324, 0.7390913983, 0.7390809129, 0.739087976, 0.7390832183, 0.7390864232, 0.7390842643, 0.7390857185, 0.7390847389, 0.7390853988, 0.7390849543, 0.7390852537, 0.739085052, 0.7390851879, 0.7390850964, 0.739085158, 0.7390851165, 0.7390851445, 0.7390851256, 0.7390851383, 0.7390851298, 0.7390851355, 0.7390851317, more...

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

a(n)=cos(a(n-1))
a(0)=2
n≥0
2 operations
Recursive
rO
a(n)=cos(λ(n)*a(n-1))
a(0)=2
λ(n)=Liouville's function
n≥0
5 operations
PrimeRecursive
nλr*O

Sequence dudoyi5ajsrhb

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

a(n)=-λ(n)
λ(n)=Liouville's function
n≥1
3 operations
Prime
nλ~

Sequence arfihgdbhmbdh

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

integer, non-constant, strictly-monotonic, +0, A000290

a(n)=n*n
n≥0
3 operations
N
nn*
a(n)=n+n*sqrt(a(n-1))
a(0)=0
n≥0
6 operations
Recursive
nnrQ*+
a(n)=n*n*λ(a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
6 operations
PrimeRecursive
nn*rλ*

Sequence jpp3dsw2szhnc

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

decimal, constant, periodic, monotonic, +

a(n)=cos(λ(n))
λ(n)=Liouville's function
n≥1
3 operations
Prime
nλO

Sequence kqimktbrkwkse

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, non-constant, non-monotonic, +-

a(n)=sin(λ(n))
λ(n)=Liouville's function
n≥1
3 operations
Prime
nλS

Sequence 3onif5sxnnxan

1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 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, +-, A064179

a(n)=λ(τ(n))
τ(n)=number of divisors of n
λ(n)=Liouville's function
n≥1
3 operations
Prime
nτλ
a(n)=λ(τ(n+abs(a(n-1))))
a(0)=1
τ(n)=number of divisors of n
λ(n)=Liouville's function
n≥0
6 operations
PrimeRecursive
nr|+τλ

Sequence icjp5p0a1lfpj

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

a(n)=λ(ϕ(n))
ϕ(n)=Euler's totient function
λ(n)=Liouville's function
n≥1
3 operations
Prime
nϕλ
a(n)=λ(ϕ(n+abs(a(n-1))))
a(0)=1
ϕ(n)=Euler's totient function
λ(n)=Liouville's function
n≥0
6 operations
PrimeRecursive
nr|+ϕλ

Sequence umf14qffwfjrm

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

a(n)=λ(Ω(n))
Ω(n)=max factorization terms
λ(n)=Liouville's function
n≥1
3 operations
Prime
nΩλ
a(n)=λ(Ω(n+abs(a(n-1))))
a(0)=1
Ω(n)=max factorization terms
λ(n)=Liouville's function
n≥0
6 operations
PrimeRecursive
nr|+Ωλ

Sequence 04dsdnlkqak4n

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

integer, non-constant, non-monotonic, +0, A008966

a(n)=abs(μ(n))
μ(n)=Möbius function
n≥1
3 operations
Prime
nμ|
a(n)=abs(μ(n+λ(a(n-1))))
a(0)=1
λ(n)=Liouville's function
μ(n)=Möbius function
n≥0
6 operations
PrimeRecursive
nrλ+μ|

Sequence wrvlauvb4iq5i

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

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

a(n)=tan(λ(n))
λ(n)=Liouville's function
n≥1
3 operations
Prime
nλW

Sequence zggaahxu54f3c

2, 0.6931471806, -0.3665129206, -1.0037215043, 0.0037145966, -5.5954851833, 1.7219600553, 0.5434632091, -0.6097932673, -0.4946352852, -0.7039345855, -0.3510698455, -1.0467700852, 0.0457093139, -3.0854531964, 1.1266985498, 0.119291719, -2.1261833652, 0.7543285251, -0.2819272961, -1.2661060564, 0.235946093, -1.4441519194, 0.3675222423, -1.000971439, 0.0009709675, -6.9372176115, 1.9369007736, 0.6610891563, -0.4138665673, -0.8822116582, -0.1253232765, -2.0768586685, 0.7308564966, -0.3135381496, -1.159834237, 0.1482770958, -1.908672487, 0.6464079674, -0.436324446, -0.8293691702, -0.1870899031, -1.6761660125, 0.51650905, -0.6606624689, -0.4145122066, -0.8806528558, -0.127091765, -2.0628458945, 0.7240865316, more...

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

a(n)=ln(abs(a(n-1)))
a(0)=2
n≥0
3 operations
Recursive
r|l
a(n)=ln(abs(λ(n)*a(n-1)))
a(0)=2
λ(n)=Liouville's function
n≥0
6 operations
PrimeRecursive
nλr*|l

Sequence 0c3xzkdv5lmfg

2.7182818285, 0.3678794412, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 0.3678794412, 0.3678794412, 2.7182818285, 0.3678794412, more...

decimal, non-constant, non-monotonic, +

a(n)=exp(λ(n))
λ(n)=Liouville's function
n≥1
3 operations
Prime
nλe

Sequence of5k45xlxoywl

-9, -11, -11, -9, -11, -9, -11, -11, -9, -9, -11, -11, -11, -9, -9, -9, -11, -11, -11, -11, -9, -9, -11, -9, -9, -9, -11, -11, -11, -11, -11, -11, -9, -9, -9, -9, -11, -9, -9, -9, -11, -11, -11, -11, -11, -9, -11, -11, -9, -11, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-10
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ10-

Sequence yg2ux5ep40pik

-8, -10, -10, -8, -10, -8, -10, -10, -8, -8, -10, -10, -10, -8, -8, -8, -10, -10, -10, -10, -8, -8, -10, -8, -8, -8, -10, -10, -10, -10, -10, -10, -8, -8, -8, -8, -10, -8, -8, -8, -10, -10, -10, -10, -10, -8, -10, -10, -8, -10, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-9
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ9-

Sequence 2bm1fwwynnjup

-7, -9, -9, -7, -9, -7, -9, -9, -7, -7, -9, -9, -9, -7, -7, -7, -9, -9, -9, -9, -7, -7, -9, -7, -7, -7, -9, -9, -9, -9, -9, -9, -7, -7, -7, -7, -9, -7, -7, -7, -9, -9, -9, -9, -9, -7, -9, -9, -7, -9, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-8
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ8-

Sequence u2cf5n0ecpihf

-6, -8, -8, -6, -8, -6, -8, -8, -6, -6, -8, -8, -8, -6, -6, -6, -8, -8, -8, -8, -6, -6, -8, -6, -6, -6, -8, -8, -8, -8, -8, -8, -6, -6, -6, -6, -8, -6, -6, -6, -8, -8, -8, -8, -8, -6, -8, -8, -6, -8, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-7
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ7-

Sequence 2j3uigrjpwsjb

-5, -7, -7, -5, -7, -5, -7, -7, -5, -5, -7, -7, -7, -5, -5, -5, -7, -7, -7, -7, -5, -5, -7, -5, -5, -5, -7, -7, -7, -7, -7, -7, -5, -5, -5, -5, -7, -5, -5, -5, -7, -7, -7, -7, -7, -5, -7, -7, -5, -7, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-6
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ6-

Sequence 4qnldx5thaukn

-4, -6, -6, -4, -6, -4, -6, -6, -4, -4, -6, -6, -6, -4, -4, -4, -6, -6, -6, -6, -4, -4, -6, -4, -4, -4, -6, -6, -6, -6, -6, -6, -4, -4, -4, -4, -6, -4, -4, -4, -6, -6, -6, -6, -6, -4, -6, -6, -4, -6, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-5
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ5-

Sequence w3nzqqdvjtsak

-3, -5, -5, -3, -5, -3, -5, -5, -3, -3, -5, -5, -5, -3, -3, -3, -5, -5, -5, -5, -3, -3, -5, -3, -3, -3, -5, -5, -5, -5, -5, -5, -3, -3, -3, -3, -5, -3, -3, -3, -5, -5, -5, -5, -5, -3, -5, -5, -3, -5, more...

integer, non-constant, non-monotonic, -

a(n)=λ(n)-4
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ4-

Sequence qn4uzgesaqire

-2.7182818285, -0.3678794412, -0.3678794412, -2.7182818285, -0.3678794412, -2.7182818285, -0.3678794412, -0.3678794412, -2.7182818285, -2.7182818285, -0.3678794412, -0.3678794412, -0.3678794412, -2.7182818285, -2.7182818285, -2.7182818285, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -2.7182818285, -2.7182818285, -0.3678794412, -2.7182818285, -2.7182818285, -2.7182818285, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -2.7182818285, -2.7182818285, -2.7182818285, -2.7182818285, -0.3678794412, -2.7182818285, -2.7182818285, -2.7182818285, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -0.3678794412, -2.7182818285, -0.3678794412, -0.3678794412, -2.7182818285, -0.3678794412, more...

decimal, non-constant, non-monotonic, -

a(n)=-exp(λ(n))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλe~

Sequence qhgzuq02mbeep

-2.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -4.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -2.1415926536, -2.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -4.1415926536, -4.1415926536, -2.1415926536, -4.1415926536, more...

decimal, non-constant, non-monotonic, -

a(n)=λ(n)-π
λ(n)=Liouville's function
Pi (3.141...)
n≥1
4 operations
Prime
nλπ-

Sequence a3t5wennxp1ti

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

integer, non-constant, non-monotonic, -

a(n)=λ(n)-3
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ3-

Sequence hzpgam3be5fng

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

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

a(n)=tan(-λ(n))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ~W

Sequence 4bahgt1fncpim

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

integer, non-constant, non-monotonic, -

a(n)=λ(n)-2
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ2-

Sequence jg5hpelcmfh3m

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

a(n)=-λ(Ω(n))
Ω(n)=max factorization terms
λ(n)=Liouville's function
n≥1
4 operations
Prime
nΩλ~

Sequence c3ieu0y00y0bj

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

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

a(n)=λ(floor(exp(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nefλ

Sequence ewbq3zljbi2wl

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

a(n)=λ(n+10)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n10+λ

Sequence icye5igg0mqwc

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

a(n)=λ(n+1)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n1+λ

Sequence 1neef2erxh1lg

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

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

a(n)=λ(ceil(exp(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
neTλ

Sequence 2xockm5hphufm

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

a(n)=λ(n+6)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n6+λ

Sequence kz5alianxhcbf

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

a(n)=-λ(ϕ(n))
ϕ(n)=Euler's totient function
λ(n)=Liouville's function
n≥1
4 operations
Prime
nϕλ~

Sequence c2pslrz4jh4ol

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

a(n)=λ(n+4)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n4+λ

Sequence t1vmcewmbdnvb

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

a(n)=λ(n+2)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n2+λ

Sequence zdt54yzjk3kao

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

a(n)=λ(n+7)
λ(n)=Liouville's function
n≥1
4 operations
Prime
n7+λ

Sequence nbhgkjjbu2i3b

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

a(n)=-λ(τ(n))
τ(n)=number of divisors of n
λ(n)=Liouville's function
n≥1
4 operations
Prime
nτλ~

Sequence fwjdv1rclbetb

-0.9117339148, 0.9330920756, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, 0.9330920756, -0.9117339148, -0.9117339148, 0.9330920756, 0.9330920756, 0.9330920756, -0.9117339148, -0.9117339148, -0.9117339148, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, -0.9117339148, -0.9117339148, 0.9330920756, -0.9117339148, -0.9117339148, -0.9117339148, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, -0.9117339148, -0.9117339148, -0.9117339148, -0.9117339148, 0.9330920756, -0.9117339148, -0.9117339148, -0.9117339148, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, 0.9330920756, -0.9117339148, 0.9330920756, 0.9330920756, -0.9117339148, 0.9330920756, more...

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

a(n)=cos(exp(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλeO

Sequence kx3fky2czxywp

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

a(n)=sin(-λ(n))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ~S

Sequence 25qev1d4ecnog

-0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, -0.6156264704, more...

decimal, constant, periodic, monotonic, -

a(n)=ln(cos(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλOl

Sequence rtqxwyo3wcbyk

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

decimal, constant, periodic, monotonic, -

a(n)=-cos(λ(n))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλO~

Sequence zzck05kbskdll

-0.4505495341, 0.3854255918, 0.3854255918, -0.4505495341, 0.3854255918, -0.4505495341, 0.3854255918, 0.3854255918, -0.4505495341, -0.4505495341, 0.3854255918, 0.3854255918, 0.3854255918, -0.4505495341, -0.4505495341, -0.4505495341, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, -0.4505495341, -0.4505495341, 0.3854255918, -0.4505495341, -0.4505495341, -0.4505495341, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, -0.4505495341, -0.4505495341, -0.4505495341, -0.4505495341, 0.3854255918, -0.4505495341, -0.4505495341, -0.4505495341, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, 0.3854255918, -0.4505495341, 0.3854255918, 0.3854255918, -0.4505495341, 0.3854255918, more...

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

a(n)=tan(exp(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλeW

Sequence fgjlgkt0okgsd

0, -3, -4, -3, -6, -5, -8, -9, -8, -9, -12, -13, -14, -13, -14, -15, -18, -19, -20, -21, -20, -21, -24, -23, -24, -25, -28, -29, -30, -31, -32, -33, -32, -33, -34, -35, -38, -37, -38, -39, -42, -43, -44, -45, -46, -45, -48, -49, -48, -51, more...

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

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

Sequence oh5wqbdipjzcn

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

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

a(n)=λ(n)-1
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ1-

Sequence bby0timpinc1d

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

a(n)=floor(sin(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλSf

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 pmjsmx5iyjpob

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

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

a(n)=a(n-1)-λ(n)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rnλ-

Sequence 54knzmomadbbn

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)=-cos(a(n-1)*π)
a(0)=0
Pi (3.141...)
n≥0
5 operations
Recursive
rπ*O~
a(n)=λ(a(n-1)+5)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
r5+λ

Sequence ojo44dnauz23g

0, 0, 1, 2, 5, 6, 5, 8, 9, 8, 11, 12, 13, 14, 13, 16, 15, 16, 17, 20, 21, 20, 23, 24, 23, 26, 25, 26, 27, 30, 31, 32, 33, 32, 35, 34, 35, 36, 37, 40, 39, 40, 41, 44, 45, 46, 45, 48, 49, 48, more...

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

a(n)=n-λ(a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nrλ-

Sequence ttlm3u0abiyhj

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

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

a(n)=λ(n)-a(n-1)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nλr-

Sequence objnl4foookym

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+a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nr+λ

Sequence gddgt0cm4qxjb

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)^a(n-1)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nλr^

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 eo4s5avwbzld

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

integer, non-constant, non-monotonic, +-0, A002819

a(n)=λ(n)+a(n-1)
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nλr+

Sequence rtx1wunb2yubd

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-a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nr-λ

Sequence ioi4qz5x15tno

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)=(-a(n-1))^a(n-2)
a(0)=0
a(1)=1
n≥0
4 operations
Recursive
r~s^
a(n)=λ(a(n-1)+abs(a(n-2)))
a(0)=0
a(1)=1
λ(n)=Liouville's function
n≥0
5 operations
PrimeRecursive
rs|+λ

Sequence ghp1n021v154m

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)=(-a(n-1)*a(n-2))^a(n-2)
a(0)=0
a(1)=1
n≥0
6 operations
Recursive
r~s*s^
a(n)=λ(a(n-1)+a(n-2))
a(0)=0
a(1)=1
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rs+λ

Sequence uqbnwjmnvbqti

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

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

a(n)=a(n-1)!-a(n-2)
a(0)=0
a(1)=1
n≥0
4 operations
Recursive
r!s-
a(n)=λ(a(n-1))-a(n-2)
a(0)=0
a(1)=1
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλs-

Sequence a03cc1c4ibchm

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

integer, non-constant, periodic, non-monotonic, +0, A260686

a(n)=a(n-1)+λ(a(n-2))
a(0)=0
a(1)=1
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rsλ+

Sequence irtnkjym1oi2j

0, 2, 1, 4, 5, 4, 7, 6, 9, 10, 11, 10, 13, 12, 13, 14, 17, 16, 19, 18, 19, 20, 21, 24, 25, 26, 27, 26, 29, 28, 29, 30, 31, 32, 33, 36, 37, 36, 39, 40, 41, 40, 43, 42, 43, 44, 45, 46, 49, 50, more...

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

a(n)=n+λ(a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
nrλ+

Sequence gcohllfxqdptj

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

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

a(n)=1-λ(n)
λ(n)=Liouville's function
n≥1
4 operations
Prime
1nλ-

Sequence cdudbniqsipif

0, 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, non-monotonic, +0

a(n)=round(cos(a(n-1)))+2
a(0)=0
n≥0
5 operations
Recursive
rOR2+
a(n)=λ(a(n-1))+2
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλ2+

Sequence 1jeol4emdi1

0, 3, 4, 3, 6, 5, 8, 9, 8, 9, 12, 13, 14, 13, 14, 15, 18, 19, 20, 21, 20, 21, 24, 23, 24, 25, 28, 29, 30, 31, 32, 33, 32, 33, 34, 35, 38, 37, 38, 39, 42, 43, 44, 45, 46, 45, 48, 49, 48, 51, more...

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

a(n)=n-λ(n)
λ(n)=Liouville's function
n≥1
4 operations
Prime
nnλ-

Sequence sg0xdbqco2x0d

0, 5, 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)=round(5-sqrt(a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
5rQ-R
a(n)=λ(a(n-1))+4
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλ4+

Sequence jgxsgfraoiguk

0, 7, 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, non-monotonic, +0

a(n)=ceil(7-sqrt(a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
7rQ-T
a(n)=λ(a(n-1))+6
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλ6+

Sequence pl1gyq5gy31gh

0, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, more...

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

a(n)=8-λ(a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
8rλ-

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 krysknfoqusvb

0, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, 10, 8, more...

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

a(n)=9-λ(a(n-1))
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
9rλ-

Sequence vnxbzfd1x53vg

0, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, 9, 11, more...

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

a(n)=λ(a(n-1))+10
a(0)=0
λ(n)=Liouville's function
n≥0
4 operations
PrimeRecursive
rλ10+

Sequence bgyotzgf1wevl

0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, 0.0133882021, more...

decimal, constant, periodic, monotonic, +

a(n)=cos(tan(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλWO

Sequence gn3zuhow2dksb

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, 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...

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

a(n)=λ(n)/10
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ10/

Sequence k1nlmm5has3uf

0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, -0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, -0.1111111111, -0.1111111111, 0.1111111111, -0.1111111111, more...

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

a(n)=λ(n)/9
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ9/

Sequence r2pybp0kkcmlh

0.125, -0.125, -0.125, 0.125, -0.125, 0.125, -0.125, -0.125, 0.125, 0.125, -0.125, -0.125, -0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.125, -0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, -0.125, -0.125, 0.125, 0.125, 0.125, 0.125, -0.125, 0.125, 0.125, 0.125, -0.125, -0.125, -0.125, -0.125, -0.125, 0.125, -0.125, -0.125, 0.125, -0.125, more...

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

a(n)=λ(n)/8
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ8/

Sequence imdvqy5ltay2b

0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, -0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, 0.1428571429, 0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, -0.1428571429, -0.1428571429, 0.1428571429, -0.1428571429, more...

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

a(n)=λ(n)/7
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ7/

Sequence thjsfmbvw0flf

0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, -0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, 0.1666666667, 0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, -0.1666666667, -0.1666666667, 0.1666666667, -0.1666666667, more...

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

a(n)=λ(n)/6
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ6/

Sequence ifkfhvwjg55fg

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, 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...

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

a(n)=λ(n)/5
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ5/

Sequence 2merbpnyw3r5f

0.25, -0.25, -0.25, 0.25, -0.25, 0.25, -0.25, -0.25, 0.25, 0.25, -0.25, -0.25, -0.25, 0.25, 0.25, 0.25, -0.25, -0.25, -0.25, -0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.25, 0.25, 0.25, 0.25, -0.25, 0.25, 0.25, 0.25, -0.25, -0.25, -0.25, -0.25, -0.25, 0.25, -0.25, -0.25, 0.25, -0.25, more...

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

a(n)=λ(n)/4
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ4/

Sequence vn1rhae40euxd

0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, -0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, 0.3183098862, 0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, -0.3183098862, -0.3183098862, 0.3183098862, -0.3183098862, more...

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

a(n)=λ(n)/π
λ(n)=Liouville's function
Pi (3.141...)
n≥1
4 operations
Prime
nλπ/

Sequence 3efku5si1bnyg

0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, -0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, 0.3333333333, 0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, -0.3333333333, -0.3333333333, 0.3333333333, -0.3333333333, more...

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

a(n)=λ(n)/3
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ3/

Sequence pkubqliq5fugi

0.3678794412, 2.7182818285, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 0.3678794412, 0.3678794412, 0.3678794412, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 2.7182818285, 0.3678794412, 2.7182818285, 2.7182818285, 0.3678794412, 2.7182818285, more...

decimal, non-constant, non-monotonic, +

a(n)=exp(-λ(n))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ~e

Sequence 2zjaou5o2jsyj

0.4107812905, 0.3596375654, 0.3596375654, 0.4107812905, 0.3596375654, 0.4107812905, 0.3596375654, 0.3596375654, 0.4107812905, 0.4107812905, 0.3596375654, 0.3596375654, 0.3596375654, 0.4107812905, 0.4107812905, 0.4107812905, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.4107812905, 0.4107812905, 0.3596375654, 0.4107812905, 0.4107812905, 0.4107812905, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.4107812905, 0.4107812905, 0.4107812905, 0.4107812905, 0.3596375654, 0.4107812905, 0.4107812905, 0.4107812905, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.3596375654, 0.4107812905, 0.3596375654, 0.3596375654, 0.4107812905, 0.3596375654, more...

decimal, non-constant, non-monotonic, +

a(n)=sin(exp(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλeS

Sequence zxx1ka5yimmfh

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, 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...

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

a(n)=λ(n)/2
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλ2/

Sequence 4oxotdgc4mdof

0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, 0.5143952585, more...

decimal, constant, periodic, monotonic, +

a(n)=sin(cos(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλOS

Sequence qp35xp2ilopye

0.5403023059, -0.4161468365, -0.9899924966, -0.6536436209, 0.2836621855, 0.9601702867, 0.7539022543, -0.1455000338, -0.9111302619, -0.8390715291, 0.004425698, 0.8438539587, 0.9074467815, 0.1367372182, -0.7596879129, -0.9576594803, -0.2751633381, 0.6603167082, 0.9887046182, 0.4080820618, -0.5477292602, -0.9999608264, -0.5328330203, 0.4241790073, 0.9912028119, 0.6469193223, -0.2921388087, -0.9626058663, -0.7480575297, 0.1542514499, 0.9147423578, 0.8342233605, -0.0132767472, -0.8485702748, -0.9036922051, -0.1279636896, 0.7654140519, 0.955073644, 0.2666429324, -0.6669380617, -0.9873392775, -0.399985315, 0.5551133015, 0.9998433086, 0.5253219888, -0.4321779449, -0.9923354692, -0.6401443395, 0.3005925437, 0.9649660285, more...

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

a(n)=cos(n+1)
n≥0
4 operations
N
n1+O
a(n)=cos(n*λ(n))
λ(n)=Liouville's function
n≥1
5 operations
Prime
nnλ*O

Sequence syk0iz5nshmkf

0.5403023059, 0.8775825619, 0.9449569463, 0.9689124217, 0.9800665778, 0.9861432316, 0.9898132604, 0.9921976672, 0.9938335085, 0.9950041653, 0.9958706137, 0.9965297867, 0.9970428787, 0.997450064, 0.9977786007, 0.9980475107, 0.998270395, 0.998457187, 0.9986152781, 0.9987502604, 0.9988664274, 0.99896712, 0.9990549693, 0.99913207, 0.9992001067, 0.9992604462, 0.9993142073, 0.9993623127, 0.9994055286, 0.9994444959, 0.9994797538, 0.9995117585, 0.9995408983, 0.9995675052, 0.9995918645, 0.9996142223, 0.9996347921, 0.9996537596, 0.9996712869, 0.9996875163, 0.9997025727, 0.9997165667, 0.9997295957, 0.9997417467, 0.9997530966, 0.9997637144, 0.9997736618, 0.999782994, 0.9997917607, 0.9998000067, more...

decimal, non-constant, strictly-monotonic, +

a(n)=cos(1/n)
n≥1
4 operations
N
1n/O
a(n)=cos(λ(n)/n)
λ(n)=Liouville's function
n≥1
5 operations
Prime
nλn/O

Sequence yfcgghrrz5pih

0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, 0.5998406268, more...

decimal, constant, periodic, monotonic, +

a(n)=tan(cos(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλOW

Sequence fzdsfcen35u3b

0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, 0.6663667454, more...

decimal, constant, periodic, monotonic, +

a(n)=cos(sin(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλSO

Sequence gi1km3yqviszp

0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, 0.7350525871, more...

decimal, constant, periodic, monotonic, +

a(n)=sqrt(cos(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλOQ

Sequence fkiznf30jlsgl

0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, -0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, 0.7456241417, 0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, -0.7456241417, -0.7456241417, 0.7456241417, -0.7456241417, more...

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

a(n)=sin(sin(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλSS

Sequence mugtbwtkkfkle

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, non-constant, non-monotonic, +-

a(n)=sin(λ(τ(n)))
τ(n)=number of divisors of n
λ(n)=Liouville's function
n≥1
4 operations
Prime
nτλS

Sequence o4dm0cd4rqmoi

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, non-constant, non-monotonic, +-

a(n)=sin(λ(ϕ(n)))
ϕ(n)=Euler's totient function
λ(n)=Liouville's function
n≥1
4 operations
Prime
nϕλS

Sequence htdgsumreh2sb

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, non-constant, non-monotonic, +-

a(n)=sin(λ(Ω(n)))
Ω(n)=max factorization terms
λ(n)=Liouville's function
n≥1
4 operations
Prime
nΩλS

Sequence zcsxlj2n5ftci

0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, 0.8575532158, more...

decimal, constant, periodic, monotonic, +

a(n)=cos(cos(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλOO

Sequence 1pwvab1jikl0j

0.999910374, -0.999910374, -0.999910374, 0.999910374, -0.999910374, 0.999910374, -0.999910374, -0.999910374, 0.999910374, 0.999910374, -0.999910374, -0.999910374, -0.999910374, 0.999910374, 0.999910374, 0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, 0.999910374, 0.999910374, -0.999910374, 0.999910374, 0.999910374, 0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, 0.999910374, 0.999910374, 0.999910374, 0.999910374, -0.999910374, 0.999910374, 0.999910374, 0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, -0.999910374, 0.999910374, -0.999910374, -0.999910374, 0.999910374, -0.999910374, more...

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

a(n)=sin(tan(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλWS

Sequence unguhhxmd3dmg

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

integer, non-constant, non-monotonic, +-, A061019

a(n)=n*λ(n)
λ(n)=Liouville's function
n≥1
4 operations
Prime
nnλ*

Sequence f1qa0lxkva5bk

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

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

a(n)=floor(tan(λ(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nλWf

Sequence 3y3tuz1gh1wwb

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

a(n)=λ(τ(τ(n)))
τ(n)=number of divisors of n
λ(n)=Liouville's function
n≥1
4 operations
Prime
nττλ

Sequence dvxastzylv2eo

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

a(n)=λ(ceil(sqrt(n)))
λ(n)=Liouville's function
n≥1
4 operations
Prime
nQTλ