A307421 - OEIS

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A307421

Dirichlet g.f.: zeta(s) * zeta(3*s) / zeta(2*s).

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) ~ 6zeta(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.)