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A307420 Dirichlet g.f.: zeta(2*s) * zeta(3*s) / zeta(s). 1
1, -1, -1, 1, -1, 1, -1, 0, 1, 1, -1, -1, -1, 1, 1, 0, -1, -1, -1, -1, 1, 1, -1, 0, 1, 1, 0, -1, -1, -1, -1, 0, 1, 1, 1, 1, -1, 1, 1, 0, -1, -1, -1, -1, -1, 1, -1, 0, 1, -1, 1, -1, -1, 0, 1, 0, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 0, -1, 1, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Dirichlet convolution of A008836 and A010057.

Dirichlet convolution of A210826 and A010052.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Dirichlet Generating Function

Wikipedia, Dirichlet series

MATHEMATICA

Table[DivisorSum[n, Boole[IntegerQ[#^(1/3)]] * LiouvilleLambda[n/#]&], {n, 1, 100}]

Table[DivisorSum[n, Mod[DivisorSigma[0, #], 3, -1] * Boole[IntegerQ[Sqrt[n/#]]] &], {n, 1, 100}]

CROSSREFS

Cf. A010052, A010057, A008836, A210826.

Sequence in context: A212793 A053864 A189021 * A129667 A071374 A071025

Adjacent sequences:  A307417 A307418 A307419 * A307421 A307422 A307423

KEYWORD

sign,mult

AUTHOR

Vaclav Kotesovec, Apr 08 2019

STATUS

approved

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Last modified December 10 15:09 EST 2019. Contains 329896 sequences. (Running on oeis4.)