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A307424 Dirichlet g.f.: zeta(3*s) / zeta(2*s). 3
1, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Dirichlet convolution of A210826 and A008966.

Dirichlet convolution of A271102 and A010057.

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, Abs[MoebiusMu[#]] * Mod[DivisorSigma[0, n/#], 3, -1]&], {n, 1, 100}]

CROSSREFS

Cf. A008966, A010057, A210826, A271102, A307423.

Sequence in context: A252488 A170956 A293449 * A075802 A307423 A112526

Adjacent sequences:  A307421 A307422 A307423 * A307425 A307426 A307427

KEYWORD

sign,mult

AUTHOR

Vaclav Kotesovec, Apr 08 2019

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)