Sequence Database

A database with 497817 machine generated integer and decimal sequences.

Displaying the first 100 results.

Sequence yjj1j3ioifbql

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

integer, non-constant, non-monotonic, +-0, A000494

a(n)=round(sin(n))
n≥0
3 operations
N
nSR

Sequence 13qkvgusyxz4e

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

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

a(n)=round(Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
nΛR

Sequence 2kyi5lb0h3yvd

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

integer, non-constant, monotonic, +0, A000193

a(n)=round(ln(n))
n≥1
3 operations
N
nlR

Sequence xuixh51z1fzfi

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

integer, non-constant, monotonic, +0, A000196

a(n)=floor(sqrt(n))
n≥0
3 operations
N
nQf
a(n)=round(sqrt(n-a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
nr-QR

Sequence 1ro0h5guok45c

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

integer, non-constant, monotonic, +0

a(n)=round(sqrt(n))
n≥0
3 operations
N
nQR
a(n)=floor(sqrt(n+a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
nr+Qf

Sequence rjsstbpetlull

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

integer, non-constant, monotonic, +0, A135034

a(n)=ceil(sqrt(n))
n≥0
3 operations
N
nQT
a(n)=round(sqrt(n+a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
nr+QR

Sequence kkystll1w43sk

0, 1, 3, 20, 485165195, more...

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

a(n)=round(exp(a(n-1)))
a(0)=0
n≥0
3 operations
Recursive
reR

Sequence 2xgye2t1hoir

0, 2, -2, 0, 1, -3, 0, 1, -7, 0, 1, -226, -1, 0, 7, -1, 0, 3, -1, 0, 2, -2, 0, 2, -2, 0, 1, -3, 0, 1, -6, 0, 1, -75, -1, 0, 8, -1, 0, 4, -1, 0, 2, -1, 0, 2, -2, 0, 1, -3, more...

integer, non-constant, non-monotonic, +-0, A000209

a(n)=round(tan(n))
n≥0
3 operations
N
nWR

Sequence lamsx1altsvxm

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

integer, non-constant, non-monotonic, +-0, A000484

a(n)=round(cos(n))
n≥0
3 operations
N
nOR

Sequence eoytkdx1z0osh

1, 1.5574077247, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, more...

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

a(n)=tan(round(a(n-1)))
a(0)=1
n≥0
3 operations
Recursive
rRW

Sequence w12bpfpnq1hwj

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

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

a(n)=round(tan(a(n-1)))
a(0)=1
n≥0
3 operations
Recursive
rWR

Sequence sbhz2w3tdqg5f

1, 3, 7, 20, 55, 148, 403, 1097, 2981, 8103, 22026, 59874, 162755, 442413, 1202604, 3269017, 8886111, 24154953, 65659969, 178482301, 485165195, 1318815734, 3584912846, 9744803446, 26489122130, 72004899337, more...

integer, non-constant, strictly-monotonic, +, A000227

a(n)=round(exp(n))
n≥0
3 operations
N
neR

Sequence cbivmn3ppqydj

2, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, 2.1850398633, -2.1850398633, more...

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

a(n)=tan(round(a(n-1)))
a(0)=2
n≥0
3 operations
Recursive
rRW

Sequence abbtp4v3i3flh

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

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

a(n)=round(sin(tan(abs(a(n-1)))))
a(0)=2
n≥0
5 operations
Recursive
r|WSR
a(n)=μ(abs(a(n-1)))
a(0)=2
μ(n)=Möbius function
n≥0
3 operations
PrimeRecursive
r|μ

Sequence 5shncxf4ukhle

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

integer, non-constant, monotonic, +0, A000038

a(n)=round(tan(exp(-n)))
n≥0
5 operations
N
n~eWR
a(n)=floor(sin(a(n-1)))
a(0)=2
n≥0
3 operations
Recursive
rSf
a(n)=μ(n*n)*2
μ(n)=Möbius function
n≥1
6 operations
Prime
nn*μ2*

Sequence vxqnpyohsgfwk

-2, 0, -3, 1, -226, 0, 3, 0, 2, 1, 0, -1, 0, -1, 0, 0, -1, 4, 2, -3, 1, 0, 4, 2, 0, 1, -1, 0, -1, 0, 4, -1, -3, 1, 4, 0, 0, 0, 1, 0, 0, -3, -1, 5, -1, 2, 1, 0, 1, 0, more...

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

a(n)=round(tan(p(n)))
p(n)=nth prime
n≥0
4 operations
Prime
npWR

Sequence ixwehuib2nwkn

-1, -3, -7, -20, -55, -148, -403, -1097, -2981, -8103, -22026, -59874, -162755, -442413, -1202604, -3269017, -8886111, -24154953, -65659969, -178482301, -485165195, -1318815734, -3584912846, -9744803446, -26489122130, -72004899337, more...

integer, non-constant, strictly-monotonic, -

a(n)=round(-exp(n))
n≥0
4 operations
N
ne~R

Sequence htcbeclnuzt

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

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

a(n)=μ(round(exp(n)))
μ(n)=Möbius function
n≥1
4 operations
Prime
neRμ

Sequence ie02mh2kvnlrd

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

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

a(n)=round(-cos(n))
n≥0
4 operations
N
nO~R

Sequence pb4vht0txqmnc

0, -2.1850398633, 2.1850398633, 0, 1.5574077247, 0.1425465431, 0, 1.5574077247, -0.8714479827, 0, 1.5574077247, 0.1971680547, -1.5574077247, 0, 0.8714479827, -1.5574077247, 0, -0.1425465431, -1.5574077247, 0, -2.1850398633, 2.1850398633, 0, -2.1850398633, 2.1850398633, 0, 1.5574077247, 0.1425465431, 0, 1.5574077247, 0.2910061914, 0, 1.5574077247, 0.4207009506, -1.5574077247, 0, -6.7997114552, -1.5574077247, 0, 1.1578212823, -1.5574077247, 0, -2.1850398633, -1.5574077247, 0, -2.1850398633, 2.1850398633, 0, 1.5574077247, 0.1425465431, more...

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

a(n)=tan(round(tan(n)))
n≥0
4 operations
N
nWRW

Sequence bvhimieauoxtd

0, -2, 2, 0, -1, 3, 0, -1, 7, 0, -1, 226, 1, 0, -7, 1, 0, -3, 1, 0, -2, 2, 0, -2, 2, 0, -1, 3, 0, -1, 6, 0, -1, 75, 1, 0, -8, 1, 0, -4, 1, 0, -2, 1, 0, -2, 2, 0, -1, 3, more...

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

a(n)=round(tan(-n))
n≥0
4 operations
N
n~WR

Sequence de3esy3trwkxp

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

integer, non-constant, monotonic, -0

a(n)=floor(-sqrt(n))
n≥0
4 operations
N
nQ~f
a(n)=round(-sqrt(n-a(n-1)))
a(0)=0
n≥0
6 operations
Recursive
nr-Q~R

Sequence 1gqfsyfvbipkl

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

integer, non-constant, monotonic, -0

a(n)=round(-sqrt(n))
n≥0
4 operations
N
nQ~R
a(n)=floor(-sqrt(n+a(n-1)))
a(0)=0
n≥0
6 operations
Recursive
nr+Q~f

Sequence o0alllgzco3qk

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

integer, non-constant, monotonic, -0

a(n)=ceil(-sqrt(n))
n≥0
4 operations
N
nQ~T
a(n)=round(-sqrt(n+a(n-1)))
a(0)=0
n≥0
6 operations
Recursive
nr+Q~R

Sequence 4w0ymhaocy20c

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

integer, non-constant, monotonic, -0

a(n)=round(-ln(n))
n≥1
4 operations
N
nl~R

Sequence 2ugeqhusr5tmm

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

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

a(n)=round(-Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ~R

Sequence v4o4dhioyoc1e

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

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

a(n)=round(sin(-n))
n≥0
4 operations
N
n~SR

Sequence dryz15v0i0n0i

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

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

a(n)=round(cos(p(n)))
p(n)=nth prime
n≥0
4 operations
Prime
npOR

Sequence qi5vvf5c1dr5p

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

integer, non-constant, monotonic, +0

a(n)=round(n/10)
n≥0
4 operations
N
n10/R

Sequence przvrdkclisad

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

integer, non-constant, monotonic, +0

a(n)=round(n/9)
n≥0
4 operations
N
n9/R

Sequence psyuio1pa3xnl

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

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

a(n)=Λ(round(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛRΛ

Sequence xm4z2auwxny2n

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

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

a(n)=Λ(round(ln(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nlRΛ

Sequence b1pscbn5no0bn

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

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

a(n)=Ω(round(Λ(n)))
Λ(n)=Von Mangoldt's function
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΛRΩ

Sequence wsridj3u5pirf

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

integer, non-constant, monotonic, +0, A130543

a(n)=round(ln(ln(n)))
n≥2
4 operations
N
nllR
a(n)=a(n-1)^ceil(sin(n))
a(0)=0
n≥0
5 operations
Recursive
rnST^

Sequence pqy5fian4wqyp

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

integer, non-constant, monotonic, +0

a(n)=round(n/8)
n≥0
4 operations
N
n8/R

Sequence q10tkieof21od

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

integer, non-constant, monotonic, +0

a(n)=round(n/7)
n≥0
4 operations
N
n7/R

Sequence xywcjlnyczydn

0, 0, 0, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, more...

decimal, non-constant, monotonic, +0

a(n)=ln(round(ln(n)))
n≥2
4 operations
N
nlRl

Sequence 3kbd0f35vzbzo

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

integer, non-constant, monotonic, +0

a(n)=round(n/6)
n≥0
4 operations
N
n6/R

Sequence f1vfeuovfrvgl

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

integer, non-constant, monotonic, +0

a(n)=round(n/5)
n≥0
4 operations
N
n5/R

Sequence m3d1ex2a5nmue

0, 0, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, more...

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

a(n)=Λ(round(sqrt(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nQRΛ

Sequence o1ynkmxrunbgo

0, 0, 0.6931471806, 0.6931471806, 0.6931471806, 0.6931471806, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.0986122887, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.3862943611, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.6094379124, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.7917594692, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, 1.9459101491, more...

decimal, non-constant, monotonic, +0

a(n)=ln(round(sqrt(n)))
n≥1
4 operations
N
nQRl

Sequence hfvorbeda0pnp

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

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

a(n)=round(ln(Ω(n)))
Ω(n)=max factorization terms
n≥2
4 operations
Prime
nΩlR

Sequence o2dkkb2soq5wd

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

integer, non-constant, monotonic, +0

a(n)=round(ln(sqrt(n)))
n≥1
4 operations
N
nQlR

Sequence w213jnzcqa3hm

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

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

a(n)=Ω(round(sqrt(n)))
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nQRΩ

Sequence goj2umamw1qho

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

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

a(n)=round(ln(ϕ(n)))
ϕ(n)=Euler's totient function
n≥1
4 operations
Prime
nϕlR

Sequence pxu5roftflxj

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

integer, non-constant, monotonic, +0

a(n)=round(n/4)
n≥0
4 operations
N
n4/R

Sequence sgta3ppmvzlyg

0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, more...

integer, non-constant, monotonic, +0

a(n)=round(n/π)
Pi (3.141...)
n≥0
4 operations
N
nπ/R

Sequence steuesysupkad

0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, more...

integer, non-constant, monotonic, +0

a(n)=round(n/3)
n≥0
4 operations
N
n3/R

Sequence zfnyknwm452fo

0, 0, 1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 20, 23, 25, more...

integer, non-constant, monotonic, +0

a(n)=round(ln(n!))
n≥0
4 operations
N
n!lR

Sequence wpnok3hmx4lsd

0, 0.5403023059, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, -0.9117339148, 0.9330920756, more...

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

a(n)=cos(exp(round(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rReO

Sequence 40m01tkzcchof

0, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, 0.4107812905, 0.8414709848, more...

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

a(n)=sin(exp(round(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rReS

Sequence od0540nos4ako

0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, 0, 0.8414709848, 0.8414709848, 0, -0.8414709848, -0.8414709848, more...

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

a(n)=sin(round(sin(n)))
n≥0
4 operations
N
nSRS

Sequence z3zk2mrbwonli

0, 0.8414709848, 0.8414709848, 0.8414709848, 0.9092974268, 0, 0.9092974268, 0.8414709848, 0.8414709848, 0, 0.9092974268, 0, 0.1411200081, 0, 0, 0.8414709848, 0.1411200081, 0, 0.1411200081, 0, 0, 0, 0.1411200081, 0, 0.9092974268, 0, 0.8414709848, 0, 0.1411200081, 0, 0.1411200081, 0.8414709848, 0, 0, 0, 0, -0.7568024953, 0, 0, 0, -0.7568024953, 0, -0.7568024953, 0, 0, 0, -0.7568024953, 0, 0.9092974268, 0, more...

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

a(n)=sin(round(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛRS

Sequence uq2mnyxjd5s5l

0, 0.8414709848, 0.8414709848, 0.8414709848, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, more...

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

a(n)=sin(round(ln(n)))
n≥1
4 operations
N
nlRS

Sequence a5mp2e5l4xing

0, 0.8414709848, 0.8414709848, 0.9092974268, 0.9092974268, 0.9092974268, 0.9092974268, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, 0.1411200081, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.7568024953, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.9589242747, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, -0.2794154982, 0.6569865987, 0.6569865987, 0.6569865987, 0.6569865987, 0.6569865987, 0.6569865987, 0.6569865987, more...

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

a(n)=sin(round(sqrt(n)))
n≥0
4 operations
N
nQRS

Sequence v4sj1d4hpxnti

0, 0.9092974268, -0.9092974268, 0, 0.8414709848, -0.1411200081, 0, 0.8414709848, -0.6569865987, 0, 0.8414709848, 0.1934438172, -0.8414709848, 0, 0.6569865987, -0.8414709848, 0, 0.1411200081, -0.8414709848, 0, 0.9092974268, -0.9092974268, 0, 0.9092974268, -0.9092974268, 0, 0.8414709848, -0.1411200081, 0, 0.8414709848, 0.2794154982, 0, 0.8414709848, 0.3877816354, -0.8414709848, 0, 0.9893582466, -0.8414709848, 0, -0.7568024953, -0.8414709848, 0, 0.9092974268, -0.8414709848, 0, 0.9092974268, -0.9092974268, 0, 0.8414709848, -0.1411200081, more...

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

a(n)=sin(round(tan(n)))
n≥0
4 operations
N
nWRS

Sequence rue5md4rq0ybi

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

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

a(n)=round(sin(tan(n)))
n≥0
4 operations
N
nWSR

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 tlva0k1cj0fln

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

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

a(n)=round(tan(sin(n)))
n≥0
4 operations
N
nSWR

Sequence m2qysb14xnncp

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

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

a(n)=round(abs(sin(n)))
n≥0
4 operations
N
nS|R

Sequence pbhoa0hupgyq

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

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

a(n)=μ(round(ln(n)))
μ(n)=Möbius function
n≥1
4 operations
Prime
nlRμ

Sequence afanhpnwgxcvi

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

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

a(n)=μ(round(Λ(n)))
Λ(n)=Von Mangoldt's function
μ(n)=Möbius function
n≥1
4 operations
Prime
nΛRμ

Sequence f3a143jf1azsp

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

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

a(n)=round(sin(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛSR

Sequence ynzon2aby1rq

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

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

a(n)=round(sqrt(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛQR

Sequence 0nxj5zmqhrrlk

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

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

a(n)=round(sin(sqrt(n)))
n≥0
4 operations
N
nQSR

Sequence ievfrv5son4lj

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

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

a(n)=round(sin(Ω(n)))
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩSR

Sequence techrnlaf20sb

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

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

a(n)=round(Λ(τ(n)))
τ(n)=number of divisors of n
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nτΛR

Sequence ptcdb1ejx2htf

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

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

a(n)=round(sin(ln(n)))
n≥1
4 operations
N
nlSR

Sequence pe4cbpaekjyxo

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

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

a(n)=round(ln(τ(n)))
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nτlR

Sequence yv3lj5bbehnhb

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

integer, non-constant, monotonic, +0

a(n)=round(sqrt(ln(n)))
n≥1
4 operations
N
nlQR

Sequence mhen1zecg01bc

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

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

a(n)=round(sqrt(Ω(n)))
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩQR

Sequence hc4zmrmxgeopg

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

integer, non-constant, monotonic, +0

a(n)=round(sqrt(sqrt(n)))
n≥0
4 operations
N
nQQR

Sequence kdlrq4qgfpmtd

0, 1, 1, 1, 1.4142135624, 0, 1.4142135624, 1, 1, 0, 1.4142135624, 0, 1.7320508076, 0, 0, 1, 1.7320508076, 0, 1.7320508076, 0, 0, 0, 1.7320508076, 0, 1.4142135624, 0, 1, 0, 1.7320508076, 0, 1.7320508076, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1.4142135624, 0, more...

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

a(n)=sqrt(round(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛRQ

Sequence pbhdfsa5ki5nc

0, 1, 1, 1, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, more...

decimal, non-constant, monotonic, +0

a(n)=sqrt(round(ln(n)))
n≥1
4 operations
N
nlRQ

Sequence 3g52mrmhdwbwe

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

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

a(n)=τ(round(Λ(n)))
Λ(n)=Von Mangoldt's function
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nΛRτ

Sequence akxszd0ovg2eg

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

integer, non-constant, monotonic, +0

a(n)=τ(round(ln(n)))
τ(n)=number of divisors of n
n≥1
4 operations
Prime
nlRτ

Sequence lx2agvxwx0ihb

0, 1, 1, 1.4142135624, 1.4142135624, 1.4142135624, 1.4142135624, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 1.7320508076, 2, 2, 2, 2, 2, 2, 2, 2, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.4494897428, 2.6457513111, 2.6457513111, 2.6457513111, 2.6457513111, 2.6457513111, 2.6457513111, 2.6457513111, more...

decimal, non-constant, monotonic, +0

a(n)=sqrt(round(sqrt(n)))
n≥0
4 operations
N
nQRQ

Sequence k5dbl02jmv0wn

0, 1, 2, 1, -26, 0, -3, 1, 2, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -3, 0, more...

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

a(n)=round(tan(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛWR

Sequence ypt2d1odrsiuk

0, 1, 2, 5, -26, -4, -3, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, more...

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

a(n)=round(tan(ln(n)))
n≥1
4 operations
N
nlWR

Sequence ugtvjx4u1j3op

0, 1, 2, 6, 360, more...

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

a(n)=ϕ(round(exp(a(n-1))))
a(0)=0
ϕ(n)=Euler's totient function
n≥0
4 operations
PrimeRecursive
reRϕ

Sequence 1tgkxxflir3yn

0, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, 2.7182818285, 1, more...

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

a(n)=exp(round(sin(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rSRe

Sequence waamwbmpt0uvo

0, 1, 3, 6, 12, 32, 286, 22109867, more...

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

a(n)=round(exp(sqrt(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rQeR

Sequence 51ckvcsvt2bpf

0, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, 4.7465010457, 0.0340299246, 1, more...

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

a(n)=exp(tan(round(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rRWe

Sequence gnips04qdmzye

0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, 5, 0, 1, more...

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

a(n)=round(exp(tan(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rWeR

Sequence oulgzaisnm1rl

0, 1, 9, 32, 78, 157, 278, 452, 687, 995, 1385, 1869, 2457, 3159, 3987, 4952, 6065, 7338, 8781, 10407, 12227, 14252, 16495, 18967, 21680, 24647, 27879, 31388, 35187, 39288, 43703, 48445, 53526, 58959, 64756, 70930, 77494, 84460, 91841, 99650, 107900, 116603, 125773, 135423, 145566, 156214, 167382, 179081, 191326, 204130, more...

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

a(n)=round(n^π)
Pi (3.141...)
n≥0
4 operations
N
nπ^R

Sequence 5pdxt2pkyleek

0, 1.0986122887, 1.9459101491, 2.9957322736, 4.0073331852, 4.9972122738, 5.9989365619, 7.0003344603, 8.0000140937, 8.9999896425, 9.9999788527, 10.9999976331, 12.0000012816, 12.9999991139, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, more...

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

a(n)=ln(round(exp(n)))
n≥0
4 operations
N
neRl

Sequence awwu5uey0hdq

0, 1.4142135624, 1.7320508076, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, 2.2360679775, more...

decimal, non-constant, monotonic, +0

a(n)=sqrt(p(round(a(n-1))))
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rRpQ

Sequence lkqoeo0v5jxvf

0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, -3.3805150062, 0, 1.5574077247, more...

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

a(n)=tan(round(exp(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
reRW

Sequence i3s2djaea25id

0, 1.5574077247, 1.5574077247, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -3.3805150062, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, -0.2910061914, 0.8714479827, 0.8714479827, 0.8714479827, 0.8714479827, 0.8714479827, 0.8714479827, 0.8714479827, more...

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

a(n)=tan(round(sqrt(n)))
n≥0
4 operations
N
nQRW

Sequence abwwnmhde5xqd

0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, 0, 1.5574077247, 1.5574077247, 0, -1.5574077247, -1.5574077247, more...

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

a(n)=tan(round(sin(n)))
n≥0
4 operations
N
nSRW

Sequence qg4ob4knmqfcd

0, 1.5574077247, 1.5574077247, 1.5574077247, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -2.1850398633, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, -0.1425465431, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, 1.1578212823, more...

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

a(n)=tan(round(ln(n)))
n≥1
4 operations
N
nlRW

Sequence ac33hufxoh1g

0, 1.5574077247, 1.5574077247, 1.5574077247, -2.1850398633, 0, -2.1850398633, 1.5574077247, 1.5574077247, 0, -2.1850398633, 0, -0.1425465431, 0, 0, 1.5574077247, -0.1425465431, 0, -0.1425465431, 0, 0, 0, -0.1425465431, 0, -2.1850398633, 0, 1.5574077247, 0, -0.1425465431, 0, -0.1425465431, 1.5574077247, 0, 0, 0, 0, 1.1578212823, 0, 0, 0, 1.1578212823, 0, 1.1578212823, 0, 0, 0, 1.1578212823, 0, -2.1850398633, 0, more...

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

a(n)=tan(round(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛRW

Sequence uaq4pjfhbb1fd

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

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

a(n)=round(tan(Ω(n)))
Ω(n)=max factorization terms
n≥1
4 operations
Prime
nΩWR

Sequence 4wqdc1cfd24pn

0, 2, 2, 0, 1, 3, 0, 1, 7, 0, 1, 226, 1, 0, 7, 1, 0, 3, 1, 0, 2, 2, 0, 2, 2, 0, 1, 3, 0, 1, 6, 0, 1, 75, 1, 0, 8, 1, 0, 4, 1, 0, 2, 1, 0, 2, 2, 0, 1, 3, more...

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

a(n)=round(abs(tan(n)))
n≥0
4 operations
N
nW|R

Sequence x5prrcwqu5weo

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

integer, non-constant, monotonic, +0

a(n)=round(sqrt(a(n-1)))+2
a(0)=0
n≥0
5 operations
Recursive
rQR2+
a(n)=ϕ(a(n-1))+2
a(0)=0
ϕ(n)=Euler's totient function
n≥0
4 operations
PrimeRecursive
rϕ2+

Sequence gqeaze0g2bmij

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

integer, non-constant, monotonic, +0

a(n)=p(round(sqrt(a(n-1))))
a(0)=0
p(n)=nth prime
n≥0
4 operations
PrimeRecursive
rQRp

Sequence z3xplourdedcg

0, 2, 6, -6, -2, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 8, 46, -12, -5, -3, -2, -2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, more...

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

a(n)=round(tan(sqrt(n)))
n≥0
4 operations
N
nQWR

Sequence rpmlvfivacypm

0, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, 0.3678794412, 2.7182818285, more...

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

a(n)=exp(round(cos(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rORe

Sequence gcmip30o1fsbb

0, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, 0.3715794791, 2.7182818285, more...

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

a(n)=exp(cos(round(a(n-1))))
a(0)=0
n≥0
4 operations
Recursive
rROe

Sequence bi0ioxflgkrv

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

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

a(n)=round(3-sqrt(a(n-1)))
a(0)=0
n≥0
5 operations
Recursive
3rQ-R
a(n)=Ω(a(n-1)+8)
a(0)=0
Ω(n)=max factorization terms
n≥0
4 operations
PrimeRecursive
r8+Ω