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A307423 Dirichlet g.f.: zeta(2*s) / zeta(3*s). 3
1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

Dirichlet convolution of A212793 and A008836.

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[Max[FactorInteger[#][[All, 2]]] < 3] * LiouvilleLambda[n/#]&], {n, 1, 100}]

PROG

(PARI) for(n=1, 100, print1(direuler(p=2, n, (1-X^3)/(1-X^2))[n], ", ")) \\ Vaclav Kotesovec, Jun 14 2020

CROSSREFS

Cf. A008836, A010052, A056624, A112526, A212793, A307424.

Sequence in context: A293449 A307424 A075802 * A112526 A120523 A269625

Adjacent sequences:  A307420 A307421 A307422 * A307424 A307425 A307426

KEYWORD

sign,mult

AUTHOR

Vaclav Kotesovec, Apr 08 2019

STATUS

approved

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Last modified January 21 10:09 EST 2021. Contains 340339 sequences. (Running on oeis4.)