Sequence Database

A database with 497817 machine generated integer and decimal sequences.

Displaying the first 100 results.

Sequence xeqru1sygmtfp

0, 0.6931471806, 1.0986122887, 0.6931471806, 1.6094379124, 0, 1.9459101491, 0.6931471806, 1.0986122887, 0, 2.3978952728, 0, 2.5649493575, 0, 0, 0.6931471806, 2.8332133441, 0, 2.9444389792, 0, 0, 0, 3.1354942159, 0, 1.6094379124, 0, 1.0986122887, 0, 3.36729583, 0, 3.4339872045, 0.6931471806, 0, 0, 0, 0, 3.6109179126, 0, 0, 0, 3.7135720667, 0, 3.7612001157, 0, 0, 0, 3.8501476017, 0, 1.9459101491, 0, more...

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

a(n)=Λ(n)
Λ(n)=Von Mangoldt's function
n≥1
2 operations
Prime

Sequence j1jkkulgv1q5j

0, -0.6931471806, -1.0986122887, -0.6931471806, -1.6094379124, 0, -1.9459101491, -0.6931471806, -1.0986122887, 0, -2.3978952728, 0, -2.5649493575, 0, 0, -0.6931471806, -2.8332133441, 0, -2.9444389792, 0, 0, 0, -3.1354942159, 0, -1.6094379124, 0, -1.0986122887, 0, -3.36729583, 0, -3.4339872045, -0.6931471806, 0, 0, 0, 0, -3.6109179126, 0, 0, 0, -3.7135720667, 0, -3.7612001157, 0, 0, 0, -3.8501476017, 0, -1.9459101491, 0, more...

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

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

Sequence jfh4cz5bd3uvl

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

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

a(n)=Λ(Ω(n))
Ω(n)=max factorization terms
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
nΩΛ

Sequence ng3ifz13fcfsp

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

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

a(n)=Λ(ϕ(n))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
nϕΛ

Sequence peyn0olxy0mle

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

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

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

Sequence tvzcjgetvy3zm

0, 0.6389612763, 0.8905770417, 0.6389612763, 0.9992535068, 0, 0.9304659259, 0.6389612763, 0.8905770417, 0, 0.6770136959, 0, 0.5452130972, 0, 0, 0.6389612763, 0.3035147985, 0, 0.1958789412, 0, 0, 0, 0.0060983999, 0, 0.9992535068, 0, 0.8905770417, 0, -0.2237917591, 0, -0.2882459668, 0.6389612763, 0, 0, 0, 0, -0.4522846047, 0, 0, 0, -0.5412974603, 0, -0.5807156376, 0, 0, 0, -0.6507372186, 0, 0.9304659259, 0, more...

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

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

Sequence da2x1aan3aikl

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

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

a(n)=Λ(τ(n))
τ(n)=number of divisors of n
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
nτΛ

Sequence caprmimf20p2h

0, 0.8306408779, 1.9580333261, 0.8306408779, -25.8659734032, 0, -2.5396306834, 0.8306408779, 1.9580333261, 0, -0.9198925388, 0, -0.6503814039, 0, 0, 0.8306408779, -0.3185414417, 0, -0.1997484513, 0, 0, 0, -0.0060985133, 0, -25.8659734032, 0, 1.9580333261, 0, 0.229615501, 0, 0.3010224424, 0.8306408779, 0, 0, 0, 0, 0.5071173439, 0, 0, 0, 0.6437647396, 0, 0.7133165715, 0, 0, 0, 0.8570191394, 0, -2.5396306834, 0, more...

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

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

Sequence kpfjetfjbri1l

0, 0.8325546112, 1.048147074, 0.8325546112, 1.2686362412, 0, 1.3949588342, 0.8325546112, 1.048147074, 0, 1.5485138917, 0, 1.6015459274, 0, 0, 0.8325546112, 1.6832151806, 0, 1.7159367643, 0, 0, 0, 1.7707326777, 0, 1.2686362412, 0, 1.048147074, 0, 1.8350192996, 0, 1.8531020491, 0.8325546112, 0, 0, 0, 0, 1.9002415406, 0, 0, 0, 1.9270630677, 0, 1.9393813745, 0, 0, 0, 1.9621792991, 0, 1.3949588342, 0, more...

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

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

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 cq1jzheniyv0f

0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 3, 0, 3, 0, 0, 1, 3, 0, 3, 0, 0, 0, 4, 0, 2, 0, 2, 0, 4, 0, 4, 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)=ceil(Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
nΛT

Sequence buchwvk0oyefj

1, 0.7692389014, 0.4548324228, 0.7692389014, -0.0386319699, 1, -0.3663784392, 0.7692389014, 0.4548324228, 1, -0.7359704176, 1, -0.8382974881, 1, 1, 0.7692389014, -0.9528267246, 1, -0.9806280846, 1, 1, 1, -0.9999814046, 1, -0.0386319699, 1, 0.4548324228, 1, -0.974636983, 1, -0.9575564018, 0.7692389014, 1, 1, 1, 1, -0.8918736661, 1, 1, 1, -0.8408311718, 1, -0.8141064723, 1, 1, 1, -0.7593030175, 1, -0.3663784392, 1, more...

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

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

Sequence s5ajvm2zjuzvi

1, 2, 3, 2, 5, 1, 7, 2, 3, 1, 11, 1, 13, 1, 1, 2, 17, 1, 19, 1, 1, 1, 23, 1, 5, 1, 3, 1, 29, 1, 31, 2, 1, 1, 1, 1, 37, 1, 1, 1, 41, 1, 43, 1, 1, 1, 47, 1, 7, 1, more...

integer, non-constant, non-monotonic, +, A014963

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

Sequence rq2geqpksiugg

1.0986122887, 1.6094379124, 1.9459101491, 2.3978952728, 2.5649493575, 2.8332133441, 2.9444389792, 3.1354942159, 3.36729583, 3.4339872045, 3.6109179126, 3.7135720667, 3.7612001157, 3.8501476017, 3.9702919136, 4.0775374439, 4.1108738642, 4.2046926194, 4.262679877, 4.2904594411, 4.3694478525, 4.4188406078, 4.4886363697, 4.5747109785, 4.6151205168, 4.6347289882, 4.6728288345, 4.6913478822, 4.7273878187, 4.8441870865, 4.8751973232, 4.9199809258, 4.9344739331, 5.0039463059, 5.0172798368, 5.0562458053, 5.0937502008, 5.1179938124, 5.1532915945, 5.1873858058, 5.1984970313, 5.252273428, 5.2626901889, 5.2832037287, 5.2933048247, 5.3518581335, 5.4071717715, 5.4249500175, 5.4337220036, 5.4510384536, more...

decimal, non-constant, strictly-monotonic, +

a(n)=Λ(p(n))
p(n)=nth prime
Λ(n)=Von Mangoldt's function
n≥1
3 operations
Prime
npΛ

Sequence y0fd3f1gswggb

-10, -9.3068528194, -8.9013877113, -9.3068528194, -8.3905620876, -10, -8.0540898509, -9.3068528194, -8.9013877113, -10, -7.6021047272, -10, -7.4350506425, -10, -10, -9.3068528194, -7.1667866559, -10, -7.0555610208, -10, -10, -10, -6.8645057841, -10, -8.3905620876, -10, -8.9013877113, -10, -6.63270417, -10, -6.5660127955, -9.3068528194, -10, -10, -10, -10, -6.3890820874, -10, -10, -10, -6.2864279333, -10, -6.2387998843, -10, -10, -10, -6.1498523983, -10, -8.0540898509, -10, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-10
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ10-

Sequence ughsh2fggahun

-9, -8.3068528194, -7.9013877113, -8.3068528194, -7.3905620876, -9, -7.0540898509, -8.3068528194, -7.9013877113, -9, -6.6021047272, -9, -6.4350506425, -9, -9, -8.3068528194, -6.1667866559, -9, -6.0555610208, -9, -9, -9, -5.8645057841, -9, -7.3905620876, -9, -7.9013877113, -9, -5.63270417, -9, -5.5660127955, -8.3068528194, -9, -9, -9, -9, -5.3890820874, -9, -9, -9, -5.2864279333, -9, -5.2387998843, -9, -9, -9, -5.1498523983, -9, -7.0540898509, -9, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-9
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ9-

Sequence 4fqojy0ef3y3i

-8, -7.3068528194, -6.9013877113, -7.3068528194, -6.3905620876, -8, -6.0540898509, -7.3068528194, -6.9013877113, -8, -5.6021047272, -8, -5.4350506425, -8, -8, -7.3068528194, -5.1667866559, -8, -5.0555610208, -8, -8, -8, -4.8645057841, -8, -6.3905620876, -8, -6.9013877113, -8, -4.63270417, -8, -4.5660127955, -7.3068528194, -8, -8, -8, -8, -4.3890820874, -8, -8, -8, -4.2864279333, -8, -4.2387998843, -8, -8, -8, -4.1498523983, -8, -6.0540898509, -8, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-8
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ8-

Sequence pgirs0aiehrbj

-7, -6.3068528194, -5.9013877113, -6.3068528194, -5.3905620876, -7, -5.0540898509, -6.3068528194, -5.9013877113, -7, -4.6021047272, -7, -4.4350506425, -7, -7, -6.3068528194, -4.1667866559, -7, -4.0555610208, -7, -7, -7, -3.8645057841, -7, -5.3905620876, -7, -5.9013877113, -7, -3.63270417, -7, -3.5660127955, -6.3068528194, -7, -7, -7, -7, -3.3890820874, -7, -7, -7, -3.2864279333, -7, -3.2387998843, -7, -7, -7, -3.1498523983, -7, -5.0540898509, -7, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-7
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ7-

Sequence xhuzozdivctxc

-6, -5.3068528194, -4.9013877113, -5.3068528194, -4.3905620876, -6, -4.0540898509, -5.3068528194, -4.9013877113, -6, -3.6021047272, -6, -3.4350506425, -6, -6, -5.3068528194, -3.1667866559, -6, -3.0555610208, -6, -6, -6, -2.8645057841, -6, -4.3905620876, -6, -4.9013877113, -6, -2.63270417, -6, -2.5660127955, -5.3068528194, -6, -6, -6, -6, -2.3890820874, -6, -6, -6, -2.2864279333, -6, -2.2387998843, -6, -6, -6, -2.1498523983, -6, -4.0540898509, -6, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-6
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ6-

Sequence lgtueypm3lwab

-5, -4.3068528194, -3.9013877113, -4.3068528194, -3.3905620876, -5, -3.0540898509, -4.3068528194, -3.9013877113, -5, -2.6021047272, -5, -2.4350506425, -5, -5, -4.3068528194, -2.1667866559, -5, -2.0555610208, -5, -5, -5, -1.8645057841, -5, -3.3905620876, -5, -3.9013877113, -5, -1.63270417, -5, -1.5660127955, -4.3068528194, -5, -5, -5, -5, -1.3890820874, -5, -5, -5, -1.2864279333, -5, -1.2387998843, -5, -5, -5, -1.1498523983, -5, -3.0540898509, -5, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-5
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ5-

Sequence 0jn5nbjn32val

-4, -3.3068528194, -2.9013877113, -3.3068528194, -2.3905620876, -4, -2.0540898509, -3.3068528194, -2.9013877113, -4, -1.6021047272, -4, -1.4350506425, -4, -4, -3.3068528194, -1.1667866559, -4, -1.0555610208, -4, -4, -4, -0.8645057841, -4, -2.3905620876, -4, -2.9013877113, -4, -0.63270417, -4, -0.5660127955, -3.3068528194, -4, -4, -4, -4, -0.3890820874, -4, -4, -4, -0.2864279333, -4, -0.2387998843, -4, -4, -4, -0.1498523983, -4, -2.0540898509, -4, more...

decimal, non-constant, non-monotonic, -

a(n)=Λ(n)-4
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ4-

Sequence rcv0j5aeefzlf

-3.1415926536, -2.448445473, -2.0429803649, -2.448445473, -1.5321547412, -3.1415926536, -1.1956825045, -2.448445473, -2.0429803649, -3.1415926536, -0.7436973808, -3.1415926536, -0.5766432961, -3.1415926536, -3.1415926536, -2.448445473, -0.3083793095, -3.1415926536, -0.1971536744, -3.1415926536, -3.1415926536, -3.1415926536, -0.0060984377, -3.1415926536, -1.5321547412, -3.1415926536, -2.0429803649, -3.1415926536, 0.2257031764, -3.1415926536, 0.2923945509, -2.448445473, -3.1415926536, -3.1415926536, -3.1415926536, -3.1415926536, 0.4693252591, -3.1415926536, -3.1415926536, -3.1415926536, 0.5719794131, -3.1415926536, 0.6196074621, -3.1415926536, -3.1415926536, -3.1415926536, 0.7085549481, -3.1415926536, -1.1956825045, -3.1415926536, more...

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

a(n)=Λ(n)-π
Λ(n)=Von Mangoldt's function
Pi (3.141...)
n≥1
4 operations
Prime
nΛπ-

Sequence ydojf3rqxdd0d

-3, -2.3068528194, -1.9013877113, -2.3068528194, -1.3905620876, -3, -1.0540898509, -2.3068528194, -1.9013877113, -3, -0.6021047272, -3, -0.4350506425, -3, -3, -2.3068528194, -0.1667866559, -3, -0.0555610208, -3, -3, -3, 0.1354942159, -3, -1.3905620876, -3, -1.9013877113, -3, 0.36729583, -3, 0.4339872045, -2.3068528194, -3, -3, -3, -3, 0.6109179126, -3, -3, -3, 0.7135720667, -3, 0.7612001157, -3, -3, -3, 0.8501476017, -3, -1.0540898509, -3, more...

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

a(n)=Λ(n)-3
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ3-

Sequence pj0opyhibswxf

-2, -1.3068528194, -0.9013877113, -1.3068528194, -0.3905620876, -2, -0.0540898509, -1.3068528194, -0.9013877113, -2, 0.3978952728, -2, 0.5649493575, -2, -2, -1.3068528194, 0.8332133441, -2, 0.9444389792, -2, -2, -2, 1.1354942159, -2, -0.3905620876, -2, -0.9013877113, -2, 1.36729583, -2, 1.4339872045, -1.3068528194, -2, -2, -2, -2, 1.6109179126, -2, -2, -2, 1.7135720667, -2, 1.7612001157, -2, -2, -2, 1.8501476017, -2, -0.0540898509, -2, more...

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

a(n)=Λ(n)-2
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ2-

Sequence 2ihdnh2wbdkgk

-1.0986122887, -1.6094379124, -1.9459101491, -2.3978952728, -2.5649493575, -2.8332133441, -2.9444389792, -3.1354942159, -3.36729583, -3.4339872045, -3.6109179126, -3.7135720667, -3.7612001157, -3.8501476017, -3.9702919136, -4.0775374439, -4.1108738642, -4.2046926194, -4.262679877, -4.2904594411, -4.3694478525, -4.4188406078, -4.4886363697, -4.5747109785, -4.6151205168, -4.6347289882, -4.6728288345, -4.6913478822, -4.7273878187, -4.8441870865, -4.8751973232, -4.9199809258, -4.9344739331, -5.0039463059, -5.0172798368, -5.0562458053, -5.0937502008, -5.1179938124, -5.1532915945, -5.1873858058, -5.1984970313, -5.252273428, -5.2626901889, -5.2832037287, -5.2933048247, -5.3518581335, -5.4071717715, -5.4249500175, -5.4337220036, -5.4510384536, more...

decimal, non-constant, strictly-monotonic, -

a(n)=-Λ(p(n))
p(n)=nth prime
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
npΛ~

Sequence m5hvzh3xvn0xc

-1, -2, -3, -2, -5, -1, -7, -2, -3, -1, -11, -1, -13, -1, -1, -2, -17, -1, -19, -1, -1, -1, -23, -1, -5, -1, -3, -1, -29, -1, -31, -2, -1, -1, -1, -1, -37, -1, -1, -1, -41, -1, -43, -1, -1, -1, -47, -1, -7, -1, more...

integer, non-constant, non-monotonic, -

a(n)=-exp(Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛe~

Sequence hbpgv3gicm4jo

-1, -1.3068528194, -1.9013877113, -3.3068528194, -3.3905620876, -6, -5.0540898509, -7.3068528194, -7.9013877113, -10, -8.6021047272, -12, -10.4350506425, -14, -15, -15.3068528194, -14.1667866559, -18, -16.0555610208, -20, -21, -22, -19.8645057841, -24, -23.3905620876, -26, -25.9013877113, -28, -25.63270417, -30, -27.5660127955, -31.3068528194, -33, -34, -35, -36, -33.3890820874, -38, -39, -40, -37.2864279333, -42, -39.2387998843, -44, -45, -46, -43.1498523983, -48, -47.0540898509, -50, more...

decimal, non-constant, non-monotonic, -

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

Sequence lmfxh3n45uvyi

-1, -0.7692389014, -0.4548324228, -0.7692389014, 0.0386319699, -1, 0.3663784392, -0.7692389014, -0.4548324228, -1, 0.7359704176, -1, 0.8382974881, -1, -1, -0.7692389014, 0.9528267246, -1, 0.9806280846, -1, -1, -1, 0.9999814046, -1, 0.0386319699, -1, -0.4548324228, -1, 0.974636983, -1, 0.9575564018, -0.7692389014, -1, -1, -1, -1, 0.8918736661, -1, -1, -1, 0.8408311718, -1, 0.8141064723, -1, -1, -1, 0.7593030175, -1, 0.3663784392, -1, more...

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

a(n)=-cos(Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛO~

Sequence pk1mh5yx1wbik

-1, -0.3068528194, 0.0986122887, -0.3068528194, 0.6094379124, -1, 0.9459101491, -0.3068528194, 0.0986122887, -1, 1.3978952728, -1, 1.5649493575, -1, -1, -0.3068528194, 1.8332133441, -1, 1.9444389792, -1, -1, -1, 2.1354942159, -1, 0.6094379124, -1, 0.0986122887, -1, 2.36729583, -1, 2.4339872045, -0.3068528194, -1, -1, -1, -1, 2.6109179126, -1, -1, -1, 2.7135720667, -1, 2.7612001157, -1, -1, -1, 2.8501476017, -1, 0.9459101491, -1, more...

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

a(n)=Λ(n)-1
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ1-

Sequence ebb3irmiimzgh

0, -1, -2, -1, -2, 0, -2, -1, -2, 0, -3, 0, -3, 0, 0, -1, -3, 0, -3, 0, 0, 0, -4, 0, -2, 0, -2, 0, -4, 0, -4, -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)=floor(-Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ~f

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 wvnyi1qf2oozg

0, -0.8325546112, -1.048147074, -0.8325546112, -1.2686362412, 0, -1.3949588342, -0.8325546112, -1.048147074, 0, -1.5485138917, 0, -1.6015459274, 0, 0, -0.8325546112, -1.6832151806, 0, -1.7159367643, 0, 0, 0, -1.7707326777, 0, -1.2686362412, 0, -1.048147074, 0, -1.8350192996, 0, -1.8531020491, -0.8325546112, 0, 0, 0, 0, -1.9002415406, 0, 0, 0, -1.9270630677, 0, -1.9393813745, 0, 0, 0, -1.9621792991, 0, -1.3949588342, 0, more...

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

a(n)=-sqrt(Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛQ~

Sequence ygwj3flwgomhi

0, -0.8306408779, -1.9580333261, -0.8306408779, 25.8659734032, 0, 2.5396306834, -0.8306408779, -1.9580333261, 0, 0.9198925388, 0, 0.6503814039, 0, 0, -0.8306408779, 0.3185414417, 0, 0.1997484513, 0, 0, 0, 0.0060985133, 0, 25.8659734032, 0, -1.9580333261, 0, -0.229615501, 0, -0.3010224424, -0.8306408779, 0, 0, 0, 0, -0.5071173439, 0, 0, 0, -0.6437647396, 0, -0.7133165715, 0, 0, 0, -0.8570191394, 0, 2.5396306834, 0, more...

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

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

Sequence emcdbnrhbvs0b

0, -0.6931471806, -0.6931471806, -1.0986122887, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, -1.0986122887, -0.6931471806, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, -1.6094379124, -0.6931471806, 0, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, -1.0986122887, -0.6931471806, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, -1.0986122887, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, 0, 0, -0.6931471806, -0.6931471806, 0, -1.0986122887, 0, more...

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

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

Sequence me00qjecwys

0, -0.6389612763, -0.8905770417, -0.6389612763, -0.9992535068, 0, -0.9304659259, -0.6389612763, -0.8905770417, 0, -0.6770136959, 0, -0.5452130972, 0, 0, -0.6389612763, -0.3035147985, 0, -0.1958789412, 0, 0, 0, -0.0060983999, 0, -0.9992535068, 0, -0.8905770417, 0, 0.2237917591, 0, 0.2882459668, -0.6389612763, 0, 0, 0, 0, 0.4522846047, 0, 0, 0, 0.5412974603, 0, 0.5807156376, 0, 0, 0, 0.6507372186, 0, -0.9304659259, 0, more...

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

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

Sequence 3or0nyrtvkgvc

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

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

a(n)=ceil(-Λ(n))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ~T

Sequence kzymeg1vzy4vo

0, 0, -0.6931471806, -1.7917594692, -2.4849066498, -4.0943445622, -4.0943445622, -6.0402547113, -6.7334018918, -7.8320141805, -7.8320141805, -10.2299094533, -10.2299094533, -12.7948588108, -12.7948588108, -12.7948588108, -13.4880059913, -16.3212193354, -16.3212193354, -19.2656583145, -19.2656583145, -19.2656583145, -19.2656583145, -22.4011525305, -22.4011525305, -24.0105904429, -24.0105904429, -25.1092027316, -25.1092027316, -28.4764985616, -28.4764985616, -31.9104857661, -32.6036329466, -32.6036329466, -32.6036329466, -32.6036329466, -32.6036329466, -36.2145508593, -36.2145508593, -36.2145508593, -36.2145508593, -39.928122926, -39.928122926, -43.6893230417, -43.6893230417, -43.6893230417, -43.6893230417, -47.5394706434, -47.5394706434, -49.4853807924, more...

decimal, non-constant, monotonic, -0

a(n)=a(n-1)-Λ(n)
a(0)=0
Λ(n)=Von Mangoldt's function
n≥0
4 operations
PrimeRecursive
rnΛ-

Sequence d2542j0fymq5n

0, 0, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, 0, -0.6931471806, 0, -0.6931471806, 0, -0.6931471806, 0, 0, -0.6931471806, -0.6931471806, -0.6931471806, 0, 0, -0.6931471806, 0, 0, 0, -0.6931471806, 0, 0, 0, 0, 0, -0.6931471806, 0, -0.6931471806, 0, -0.6931471806, 0, 0, 0, 0, 0, -0.6931471806, 0, 0, 0, 0, 0, 0, 0, -0.6931471806, 0, 0, more...

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

a(n)=-Λ(ϕ(n))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΛ~

Sequence uemjwrpgufqwk

0, 0, 0, -0.6931471806, 0, -0.6931471806, 0, -1.0986122887, -0.6931471806, -0.6931471806, 0, -1.0986122887, 0, -0.6931471806, -0.6931471806, -0.6931471806, 0, -1.0986122887, 0, -1.0986122887, -0.6931471806, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, -1.0986122887, -1.0986122887, 0, -1.0986122887, 0, -1.6094379124, -0.6931471806, -0.6931471806, -0.6931471806, -0.6931471806, 0, -0.6931471806, -0.6931471806, -0.6931471806, 0, -1.0986122887, 0, -1.0986122887, -1.0986122887, -0.6931471806, 0, -1.6094379124, -0.6931471806, -1.0986122887, more...

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

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

Sequence oy4fdwhwhvvad

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

integer, non-constant, non-monotonic, -0, A061126

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

Sequence ogvwqe0grf0yg

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

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

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

Sequence khpjeukdvd2dj

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

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

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

Sequence ic315tcehwypg

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

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

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

Sequence 5ur4ag2kmkefm

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

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

a(n)=Λ(Ω(τ(n)))
τ(n)=number of divisors of n
Ω(n)=max factorization terms
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nτΩΛ

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 mtri3xpf4tski

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

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

a(n)=Λ(ϕ(ϕ(n)))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕϕΛ

Sequence 1ezgv2c4g551f

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

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

a(n)=Λ(Ω(ϕ(n)))
ϕ(n)=Euler's totient function
Ω(n)=max factorization terms
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΩΛ

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 rxiihbrbqdtxi

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

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

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

Sequence 03ucjynpgqe4e

0, 0, 0, 0.6389612763, 0, 0.6389612763, 0, 0.8905770417, 0.6389612763, 0.6389612763, 0, 0.8905770417, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0.8905770417, 0, 0.8905770417, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0.8905770417, 0.8905770417, 0, 0.8905770417, 0, 0.9992535068, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0.8905770417, 0, 0.8905770417, 0.8905770417, 0.6389612763, 0, 0.9992535068, 0.6389612763, 0.8905770417, more...

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

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

Sequence 1jydzc000ynek

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

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

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

Sequence prhaibd5kipil

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

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

a(n)=Λ(ϕ(τ(n)))
τ(n)=number of divisors of n
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nτϕΛ

Sequence o4p0cpwsm0xlk

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

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

a(n)=Λ(τ(Ω(n)))
Ω(n)=max factorization terms
τ(n)=number of divisors of n
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΩτΛ

Sequence e5j2h3vrr0sf

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

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

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

Sequence bdyd43ujrzilp

0, 0, 0, 0.8306408779, 0, 0.8306408779, 0, 1.9580333261, 0.8306408779, 0.8306408779, 0, 1.9580333261, 0, 0.8306408779, 0.8306408779, 0.8306408779, 0, 1.9580333261, 0, 1.9580333261, 0.8306408779, 0.8306408779, 0, 0.8306408779, 0.8306408779, 0.8306408779, 1.9580333261, 1.9580333261, 0, 1.9580333261, 0, -25.8659734032, 0.8306408779, 0.8306408779, 0.8306408779, 0.8306408779, 0, 0.8306408779, 0.8306408779, 0.8306408779, 0, 1.9580333261, 0, 1.9580333261, 1.9580333261, 0.8306408779, 0, -25.8659734032, 0.8306408779, 1.9580333261, more...

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

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

Sequence r3thmredvqptn

0, 0, 0, 0.8325546112, 0, 0.8325546112, 0, 1.048147074, 0.8325546112, 0.8325546112, 0, 1.048147074, 0, 0.8325546112, 0.8325546112, 0.8325546112, 0, 1.048147074, 0, 1.048147074, 0.8325546112, 0.8325546112, 0, 0.8325546112, 0.8325546112, 0.8325546112, 1.048147074, 1.048147074, 0, 1.048147074, 0, 1.2686362412, 0.8325546112, 0.8325546112, 0.8325546112, 0.8325546112, 0, 0.8325546112, 0.8325546112, 0.8325546112, 0, 1.048147074, 0, 1.048147074, 1.048147074, 0.8325546112, 0, 1.2686362412, 0.8325546112, 1.048147074, more...

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

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

Sequence x3r1iqnyl1bpj

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

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

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

Sequence 0iiyow23pc5je

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

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

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

Sequence sjdby0lz00v0m

0, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0, 0.6389612763, 0, 0.6389612763, 0, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0, 0.6389612763, 0, 0, 0, 0.6389612763, 0, 0, 0, 0, 0, 0.6389612763, 0, 0.6389612763, 0, 0.6389612763, 0, 0, 0, 0, 0, 0.6389612763, 0, 0, 0, 0, 0, 0, 0, 0.6389612763, 0, 0, more...

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

a(n)=sin(Λ(ϕ(n)))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΛS

Sequence kq0x1gkat5lzj

0, 0, 0.6931471806, 0, 0.6931471806, 0, 0.6931471806, 0, 0.6931471806, 0, 1.0986122887, 0, 1.0986122887, 0, 0, 0, 1.0986122887, 0, 1.0986122887, 0, 0, 0, 0.6931471806, 0, 0.6931471806, 0, 0.6931471806, 0, 0.6931471806, 0, 0.6931471806, 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(ceil(Λ(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛTΛ

Sequence xwvpfcxgy0dzf

0, 0, 0.6931471806, 0.4054651081, 0.2876820725, 1.32175584, -1.32175584, 3.267665989, -2.5745188085, 3.6731310971, -3.6731310971, 6.0710263699, -6.0710263699, 8.6359757274, -8.6359757274, 8.6359757274, -7.9428285468, 10.7760418909, -10.7760418909, 13.7204808701, -13.7204808701, 13.7204808701, -13.7204808701, 16.855975086, -16.855975086, 18.4654129984, -18.4654129984, 19.5640252871, -19.5640252871, 22.9313211171, -22.9313211171, 26.3653083216, -25.672161141, 25.672161141, -25.672161141, 25.672161141, -25.672161141, 29.2830790537, -29.2830790537, 29.2830790537, -29.2830790537, 32.9966511204, -32.9966511204, 36.7578512361, -36.7578512361, 36.7578512361, -36.7578512361, 40.6079988378, -40.6079988378, 42.5539089868, more...

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

a(n)=Λ(n)-a(n-1)
a(0)=0
Λ(n)=Von Mangoldt's function
n≥0
4 operations
PrimeRecursive
nΛr-

Sequence uc5za31jylqci

0, 0, 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, 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, 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(ceil(ln(n)))
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nlTΛ

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 kdgo5st3fjgvl

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

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

a(n)=Λ(τ(ϕ(n)))
ϕ(n)=Euler's totient function
τ(n)=number of divisors of n
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕτΛ

Sequence rr1afxybxtmkk

0, 0, 0.6931471806, 1.0986122887, 0.6931471806, 1.6094379124, 0, 1.9459101491, 0.6931471806, 1.0986122887, 0, 2.3978952728, 0, 2.5649493575, 0, 0, 0.6931471806, 2.8332133441, 0, 2.9444389792, 0, 0, 0, 3.1354942159, 0, 1.6094379124, 0, 1.0986122887, 0, 3.36729583, 0, 3.4339872045, 0.6931471806, 0, 0, 0, 0, 3.6109179126, 0, 0, 0, 3.7135720667, 0, 3.7612001157, 0, 0, 0, 3.8501476017, 0, 1.9459101491, more...

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

a(n)=Λ(n-1)
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
n1-Λ

Sequence 1vr2dcbzlw2jj

0, 0, 0.6931471806, 1.7917594692, 2.4849066498, 4.0943445622, 4.0943445622, 6.0402547113, 6.7334018918, 7.8320141805, 7.8320141805, 10.2299094533, 10.2299094533, 12.7948588108, 12.7948588108, 12.7948588108, 13.4880059913, 16.3212193354, 16.3212193354, 19.2656583145, 19.2656583145, 19.2656583145, 19.2656583145, 22.4011525305, 22.4011525305, 24.0105904429, 24.0105904429, 25.1092027316, 25.1092027316, 28.4764985616, 28.4764985616, 31.9104857661, 32.6036329466, 32.6036329466, 32.6036329466, 32.6036329466, 32.6036329466, 36.2145508593, 36.2145508593, 36.2145508593, 36.2145508593, 39.928122926, 39.928122926, 43.6893230417, 43.6893230417, 43.6893230417, 43.6893230417, 47.5394706434, 47.5394706434, 49.4853807924, more...

decimal, non-constant, monotonic, +0

a(n)=Λ(n)+a(n-1)
a(0)=0
Λ(n)=Von Mangoldt's function
n≥0
4 operations
PrimeRecursive
nΛr+

Sequence l4qqpyzwckzzp

0, 0, 0.8306408779, 0.8306408779, 0.8306408779, 0.8306408779, 0, 0.8306408779, 0, 0.8306408779, 0, 0.8306408779, 0, 0, 0.8306408779, 0.8306408779, 0.8306408779, 0, 0, 0.8306408779, 0, 0, 0, 0.8306408779, 0, 0, 0, 0, 0, 0.8306408779, 0, 0.8306408779, 0, 0.8306408779, 0, 0, 0, 0, 0, 0.8306408779, 0, 0, 0, 0, 0, 0, 0, 0.8306408779, 0, 0, more...

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

a(n)=tan(Λ(ϕ(n)))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΛW

Sequence te1rjolvhemdn

0, 0, 0.8325546112, 0.8325546112, 0.8325546112, 0.8325546112, 0, 0.8325546112, 0, 0.8325546112, 0, 0.8325546112, 0, 0, 0.8325546112, 0.8325546112, 0.8325546112, 0, 0, 0.8325546112, 0, 0, 0, 0.8325546112, 0, 0, 0, 0, 0, 0.8325546112, 0, 0.8325546112, 0, 0.8325546112, 0, 0, 0, 0, 0, 0.8325546112, 0, 0, 0, 0, 0, 0, 0, 0.8325546112, 0, 0, more...

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

a(n)=sqrt(Λ(ϕ(n)))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΛQ

Sequence cv2n40eaqnunl

0, 0, 0.8414709848, 0, 0.8414709848, 0, 0.8414709848, 0, 0.8414709848, 0, 0.9092974268, 0, 0.9092974268, 0, 0, 0, 0.9092974268, 0, 0.9092974268, 0, 0, 0, 0.1411200081, 0, 0.8414709848, 0, 0.8414709848, 0, 0.1411200081, 0, 0.1411200081, 0, 0, 0, 0, 0, 0.1411200081, 0, 0, 0, 0.1411200081, 0, 0.1411200081, 0, 0, 0, 0.1411200081, 0, 0.8414709848, 0, more...

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

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

Sequence re34siiccmu2h

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

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

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

Sequence ws4uuhpzllwno

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

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

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

Sequence env11m4hj2hsk

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

integer, non-constant, non-monotonic, +0, A174275

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

Sequence pcxra1z541kck

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

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

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

Sequence e2zrmqrqolo2l

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

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

a(n)=ceil(Λ(ϕ(n)))
ϕ(n)=Euler's totient function
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nϕΛT

Sequence gdwpn52wtcbbe

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

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

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

Sequence g5l5wqrymmohe

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

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

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

Sequence mjz4pa4ihatqg

0, 0.0256008633, 2.5612060893, 0.0256008633, 116.6117398037, 0, 778.4448176009, 0.0256008633, 2.5612060893, 0, 6284.9541712829, 0, 12325.028946162, 0, 0, 0.0256008633, 33326.7363677417, 0, 48980.7672637337, 0, 0, 0, 91845.9561451849, 0, 116.6117398037, 0, 2.5612060893, 0, 187418.6154312366, 0, 228027.2374790155, 0.0256008633, 0, 0, 0, 0, 376856.6270679021, 0, 0, 0, 498790.9485560562, 0, 566584.1328309828, 0, 0, 0, 715770.4949019807, 0, 778.4448176009, 0, more...

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

a(n)=Λ(n)^10
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ10^

Sequence ip05ufoivmtk

0, 0.0369342385, 2.3313102499, 0.0369342385, 72.4549477198, 0, 400.0415013914, 0.0369342385, 2.3313102499, 0, 2621.0294680419, 0, 4805.1743829982, 0, 0, 0.0369342385, 11762.8756894209, 0, 16635.0084380421, 0, 0, 0, 29292.3379282867, 0, 72.4549477198, 0, 2.3313102499, 0, 55658.4942024501, 0, 66403.0539138842, 0.0369342385, 0, 0, 0, 0, 104365.8804173522, 0, 0, 0, 134315.6776269915, 0, 150639.1883981172, 0, 0, 0, 185907.2869268878, 0, 400.0415013914, 0, more...

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

a(n)=Λ(n)^9
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ9^

Sequence emxeesip5bvde

0, 0.0532848427, 2.1220500389, 0.0532848427, 45.0187902, 0, 205.5806644442, 0.0532848427, 2.1220500389, 0, 1093.0541870509, 0, 1873.3993203491, 0, 0, 0.0532848427, 4151.779008841, 0, 5649.6359937306, 0, 0, 0, 9342.1757180969, 0, 45.0187902, 0, 2.1220500389, 0, 16529.1370323925, 0, 19337.0126211172, 0.0532848427, 0, 0, 0, 0, 28902.8670665422, 0, 0, 0, 36168.8625437645, 0, 40050.8305233686, 0, 0, 0, 48285.7558095478, 0, 205.5806644442, 0, more...

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

a(n)=Λ(n)^8
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ8^

Sequence inx1li2tpgmvn

0, 0.0693147181, 0.1098612289, 0.0693147181, 0.1609437912, 0, 0.1945910149, 0.0693147181, 0.1098612289, 0, 0.2397895273, 0, 0.2564949357, 0, 0, 0.0693147181, 0.2833213344, 0, 0.2944438979, 0, 0, 0, 0.3135494216, 0, 0.1609437912, 0, 0.1098612289, 0, 0.336729583, 0, 0.3433987204, 0.0693147181, 0, 0, 0, 0, 0.3610917913, 0, 0, 0, 0.3713572067, 0, 0.3761200116, 0, 0, 0, 0.3850147602, 0, 0.1945910149, 0, more...

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

a(n)=Λ(n)/10
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ10/

Sequence jsogyy5bnozyk

0, 0.0768737784, 1.9315731863, 0.0768737784, 27.9717470629, 0, 105.6475626811, 0.0768737784, 1.9315731863, 0, 455.8390015821, 0, 730.3845258774, 0, 0, 0.0768737784, 1465.3958261036, 0, 1918.7478612072, 0, 0, 0, 2979.4906559343, 0, 27.9717470629, 0, 1.9315731863, 0, 4908.7273191732, 0, 5631.067173419, 0.0768737784, 0, 0, 0, 0, 8004.2991188844, 0, 0, 0, 9739.6420196211, 0, 10648.4178696733, 0, 0, 0, 12541.2739470304, 0, 105.6475626811, 0, more...

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

a(n)=Λ(n)^7
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ7^

Sequence cfbudgpevxg5c

0, 0.0770163534, 0.1220680321, 0.0770163534, 0.1788264347, 0, 0.2162122388, 0.0770163534, 0.1220680321, 0, 0.2664328081, 0, 0.2849943731, 0, 0, 0.0770163534, 0.3148014827, 0, 0.3271598866, 0, 0, 0, 0.3483882462, 0, 0.1788264347, 0, 0.1220680321, 0, 0.3741439811, 0, 0.3815541338, 0.0770163534, 0, 0, 0, 0, 0.4012131014, 0, 0, 0, 0.4126191185, 0, 0.417911124, 0, 0, 0, 0.427794178, 0, 0.2162122388, 0, more...

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

a(n)=Λ(n)/9
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ9/

Sequence pod5ngolmsw4b

0, 0.0866433976, 0.1373265361, 0.0866433976, 0.2011797391, 0, 0.2432387686, 0.0866433976, 0.1373265361, 0, 0.2997369091, 0, 0.3206186697, 0, 0, 0.0866433976, 0.354151668, 0, 0.3680548724, 0, 0, 0, 0.391936777, 0, 0.2011797391, 0, 0.1373265361, 0, 0.4209119787, 0, 0.4292484006, 0.0866433976, 0, 0, 0, 0, 0.4513647391, 0, 0, 0, 0.4641965083, 0, 0.4701500145, 0, 0, 0, 0.4812684502, 0, 0.2432387686, 0, more...

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

a(n)=Λ(n)/8
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ8/

Sequence wdubmrlbtn2ic

0, 0.0990210258, 0.1569446127, 0.0990210258, 0.2299197018, 0, 0.2779871642, 0.0990210258, 0.1569446127, 0, 0.3425564675, 0, 0.3664213368, 0, 0, 0.0990210258, 0.4047447634, 0, 0.4206341399, 0, 0, 0, 0.4479277451, 0, 0.2299197018, 0, 0.1569446127, 0, 0.4810422614, 0, 0.4905696006, 0.0990210258, 0, 0, 0, 0, 0.5158454161, 0, 0, 0, 0.5305102952, 0, 0.5373143022, 0, 0, 0, 0.550021086, 0, 0.2779871642, 0, more...

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

a(n)=Λ(n)/7
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ7/

Sequence gdyxdvdjvzmfd

0, 0.1109054188, 1.7581936833, 0.1109054188, 17.3798236308, 0, 54.2921073372, 0.1109054188, 1.7581936833, 0, 190.0996289342, 0, 284.7559246161, 0, 0, 0.1109054188, 517.2204307091, 0, 651.6514265649, 0, 0, 0, 950.2459423454, 0, 17.3798236308, 0, 1.7581936833, 0, 1457.7653900973, 0, 1639.8043551427, 0.1109054188, 0, 0, 0, 0, 2216.6937361982, 0, 0, 0, 2622.7152306929, 0, 2831.1223923563, 0, 0, 0, 3257.3488718874, 0, 54.2921073372, 0, more...

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

a(n)=Λ(n)^6
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ6^

Sequence bl1vi54wwszxh

0, 0.1155245301, 0.1831020481, 0.1155245301, 0.2682396521, 0, 0.3243183582, 0.1155245301, 0.1831020481, 0, 0.3996492121, 0, 0.4274915596, 0, 0, 0.1155245301, 0.472202224, 0, 0.4907398299, 0, 0, 0, 0.5225823693, 0, 0.2682396521, 0, 0.1831020481, 0, 0.5612159717, 0, 0.5723312007, 0.1155245301, 0, 0, 0, 0, 0.6018196521, 0, 0, 0, 0.6189286778, 0, 0.6268666859, 0, 0, 0, 0.641691267, 0, 0.3243183582, 0, more...

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

a(n)=Λ(n)/6
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ6/

Sequence dgto1uczc2cph

0, 0.1386294361, 0.2197224577, 0.1386294361, 0.3218875825, 0, 0.3891820298, 0.1386294361, 0.2197224577, 0, 0.4795790546, 0, 0.5129898715, 0, 0, 0.1386294361, 0.5666426688, 0, 0.5888877958, 0, 0, 0, 0.6270988432, 0, 0.3218875825, 0, 0.2197224577, 0, 0.673459166, 0, 0.6867974409, 0.1386294361, 0, 0, 0, 0, 0.7221835825, 0, 0, 0, 0.7427144133, 0, 0.7522400231, 0, 0, 0, 0.7700295203, 0, 0.3891820298, 0, more...

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

a(n)=Λ(n)/5
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ5/

Sequence zdrqg2pbffywe

0, 0.1600026978, 1.6003768585, 0.1600026978, 10.7986915783, 0, 27.9006239644, 0.1600026978, 1.6003768585, 0, 79.2777028633, 0, 111.0181469228, 0, 0, 0.1600026978, 182.5561184068, 0, 221.3159896251, 0, 0, 0, 303.0609776022, 0, 10.7986915783, 0, 1.6003768585, 0, 432.9187168872, 0, 477.5219759121, 0.1600026978, 0, 0, 0, 0, 613.8864936353, 0, 0, 0, 706.2513352597, 0, 752.7178308178, 0, 0, 0, 846.0322067758, 0, 27.9006239644, 0, more...

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

a(n)=Λ(n)^5
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ5^

Sequence bll2u4zueykpi

0, 0.1732867951, 0.2746530722, 0.1732867951, 0.4023594781, 0, 0.4864775373, 0.1732867951, 0.2746530722, 0, 0.5994738182, 0, 0.6412373394, 0, 0, 0.1732867951, 0.708303336, 0, 0.7361097448, 0, 0, 0, 0.783873554, 0, 0.4023594781, 0, 0.2746530722, 0, 0.8418239575, 0, 0.8584968011, 0.1732867951, 0, 0, 0, 0, 0.9027294782, 0, 0, 0, 0.9283930167, 0, 0.9403000289, 0, 0, 0, 0.9625369004, 0, 0.4864775373, 0, more...

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

a(n)=Λ(n)/4
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ4/

Sequence 5c35iyhvvsnfn

0, 0.2206356002, 0.3496991526, 0.2206356002, 0.5122999987, 0, 0.6194024381, 0.2206356002, 0.3496991526, 0, 0.7632737714, 0, 0.816448738, 0, 0, 0.2206356002, 0.9018398171, 0, 0.9372440363, 0, 0, 0, 0.998058807, 0, 0.5122999987, 0, 0.3496991526, 0, 1.0718435524, 0, 1.0930720762, 0.2206356002, 0, 0, 0, 0, 1.1493908698, 0, 0, 0, 1.1820667019, 0, 1.1972271807, 0, 0, 0, 1.2255400449, 0, 0.6194024381, 0, more...

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

a(n)=Λ(n)/π
Λ(n)=Von Mangoldt's function
Pi (3.141...)
n≥1
4 operations
Prime
nΛπ/

Sequence 1yavu43ee5jlk

0, 0.2308350986, 1.456725794, 0.2308350986, 6.7096043251, 0, 14.3380844064, 0.2308350986, 1.456725794, 0, 33.0613700117, 0, 43.2827831863, 0, 0, 0.2308350986, 64.4342999406, 0, 75.1640605192, 0, 0, 0, 96.6549311629, 0, 6.7096043251, 0, 1.456725794, 0, 128.5656915059, 0, 139.0575874274, 0.2308350986, 0, 0, 0, 0, 170.0084323395, 0, 0, 0, 190.1811308825, 0, 200.1270359631, 0, 0, 0, 219.7402007134, 0, 14.3380844064, 0, more...

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

a(n)=Λ(n)^4
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ4^

Sequence oxwdvu4tvoxzl

0, 0.2310490602, 0.3662040962, 0.2310490602, 0.5364793041, 0, 0.6486367164, 0.2310490602, 0.3662040962, 0, 0.7992984243, 0, 0.8549831192, 0, 0, 0.2310490602, 0.944404448, 0, 0.9814796597, 0, 0, 0, 1.0451647386, 0, 0.5364793041, 0, 0.3662040962, 0, 1.1224319433, 0, 1.1446624015, 0.2310490602, 0, 0, 0, 0, 1.2036393042, 0, 0, 0, 1.2378573556, 0, 1.2537333719, 0, 0, 0, 1.2833825339, 0, 0.6486367164, 0, more...

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

a(n)=Λ(n)/3
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ3/

Sequence hommhe24morsl

0, 0.3161829432, 1.343744291, 0.3161829432, 4.459500683, 0, 8.0966620341, 0.3161829432, 1.343744291, 0, 15.6052885042, 0, 19.282304484, 0, 0, 0.3161829432, 26.3558640705, 0, 29.7450697704, 0, 0, 0, 36.2402592655, 0, 4.459500683, 0, 1.343744291, 0, 45.3422400787, 0, 48.2237715877, 0.3161829432, 0, 0, 0, 0, 56.4686499712, 0, 0, 0, 61.6671546134, 0, 64.186148982, 0, 0, 0, 69.0766763874, 0, 8.0966620341, 0, more...

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

a(n)=Λ(n)^π
Λ(n)=Von Mangoldt's function
Pi (3.141...)
n≥1
4 operations
Prime
nΛπ^

Sequence mkrzujdtnxoy

0, 0.333024652, 1.3259689601, 0.333024652, 4.1689115643, 0, 7.3683178092, 0.333024652, 1.3259689601, 0, 13.7876621997, 0, 16.8747125788, 0, 0, 0.333024652, 22.742480751, 0, 25.5274641624, 0, 0, 0, 30.8260594683, 0, 4.1689115643, 0, 1.3259689601, 0, 38.1806939447, 0, 40.4944978379, 0.333024652, 0, 0, 0, 0, 47.0817771138, 0, 0, 0, 51.2124519106, 0, 53.2082925149, 0, 0, 0, 57.0731887307, 0, 7.3683178092, 0, more...

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

a(n)=Λ(n)^3
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ3^

Sequence 51bre3mev413n

0, 0.3465735903, 0.3662040962, 0.1732867951, 0.3218875825, 0, 0.2779871642, 0.0866433976, 0.1220680321, 0, 0.2179904793, 0, 0.1973037967, 0, 0, 0.0433216988, 0.1666596085, 0, 0.1549704726, 0, 0, 0, 0.1363258355, 0, 0.0643775165, 0, 0.040689344, 0, 0.1161136493, 0, 0.1107737808, 0.0216608494, 0, 0, 0, 0, 0.097592376, 0, 0, 0, 0.0905749285, 0, 0.0874697701, 0, 0, 0, 0.0819180341, 0, 0.039712452, 0, more...

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

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

Sequence gigv3htkgeajf

0, 0.3465735903, 0.5493061443, 0.3465735903, 0.8047189562, 0, 0.9729550745, 0.3465735903, 0.5493061443, 0, 1.1989476364, 0, 1.2824746787, 0, 0, 0.3465735903, 1.416606672, 0, 1.4722194896, 0, 0, 0, 1.567747108, 0, 0.8047189562, 0, 0.5493061443, 0, 1.683647915, 0, 1.7169936022, 0.3465735903, 0, 0, 0, 0, 1.8054589563, 0, 0, 0, 1.8567860334, 0, 1.8806000578, 0, 0, 0, 1.9250738009, 0, 0.9729550745, 0, more...

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

a(n)=Λ(n)/2
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ2/

Sequence dj20gauutolsg

0, 0.4804530139, 1.2069489608, 0.4804530139, 2.590290394, 0, 3.7865663082, 0.4804530139, 1.2069489608, 0, 5.7499017393, 0, 6.5789652063, 0, 0, 0.4804530139, 8.0270978529, 0, 8.669720902, 0, 0, 0, 9.8313239781, 0, 2.590290394, 0, 1.2069489608, 0, 11.3386812066, 0, 11.7922681206, 0.4804530139, 0, 0, 0, 0, 13.0387281719, 0, 0, 0, 13.7906174946, 0, 14.1466263103, 0, 0, 0, 14.823636555, 0, 3.7865663082, 0, more...

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

a(n)=Λ(n)^2
Λ(n)=Von Mangoldt's function
n≥1
4 operations
Prime
nΛ2^

Sequence 5hlvlkrcyyzti

0, 0.5963619635, 0.7774348151, 0.5963619635, 0.8410674184, 0, 0.8018984002, 0.5963619635, 0.7774348151, 0, 0.6264681551, 0, 0.518600304, 0, 0, 0.5963619635, 0.2988761896, 0, 0.1946287432, 0, 0, 0, 0.0060983621, 0, 0.8410674184, 0, 0.7774348151, 0, -0.2219284135, 0, -0.2842709945, 0.5963619635, 0, 0, 0, 0, -0.4370215629, 0, 0, 0, -0.5152484016, 0, -0.5486224006, 0, 0, 0, -0.605773129, 0, 0.8018984002, 0, more...

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

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

Sequence r554bmj3b5ltc

0, 0.6389612763, 0.6389612763, 0.8905770417, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0.8905770417, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0.9992535068, 0.6389612763, 0, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0.8905770417, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0.6389612763, 0.6389612763, 0.6389612763, 0.8905770417, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0.6389612763, 0, 0, 0.6389612763, 0.6389612763, 0, 0.8905770417, 0, more...

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

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