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A307421 Dirichlet g.f.: zeta(s) * zeta(3*s) / zeta(2*s). 1
1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 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 A008966 and A010057.

LINKS

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

Vaclav Kotesovec, Graph - the asymptotic ratio

Eric Weisstein's World of Mathematics, Dirichlet Generating Function

Wikipedia, Dirichlet series

FORMULA

a(n) = abs(A210826(n)).

Sum_{k=1..n} a(k) ~ 6*zeta(3)*n/Pi^2 + zeta(1/3)*n^(1/3)/zeta(2/3).

MATHEMATICA

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

CROSSREFS

Cf. A010057, A008966, A210826, A299406.

Sequence in context: A014677 A307425 A210826 * A299406 A287769 A267866

Adjacent sequences:  A307418 A307419 A307420 * A307422 A307423 A307424

KEYWORD

nonn,mult

AUTHOR

Vaclav Kotesovec, Apr 08 2019

STATUS

approved

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)