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A307421
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Dirichlet g.f.: zeta(s) * zeta(3*s) / zeta(2*s).
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1
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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
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OFFSET
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1
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COMMENTS
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Dirichlet convolution of A008966 and A010057.
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LINKS
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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
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FORMULA
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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).
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MATHEMATICA
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Table[DivisorSum[n, Boole[IntegerQ[#^(1/3)]] * Abs[MoebiusMu[n/#]]&], {n, 1, 100}]
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PROG
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(PARI) for(n=1, 100, print1(direuler(p=2, n, (1+X)/(1-X^3))[n], ", ")) \\ Vaclav Kotesovec, Jun 14 2020
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CROSSREFS
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Cf. A010057, A008966, A210826, A299406.
Sequence in context: A014677 A307425 A210826 * A299406 A287769 A267866
Adjacent sequences: A307418 A307419 A307420 * A307422 A307423 A307424
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KEYWORD
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nonn,mult
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AUTHOR
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Vaclav Kotesovec, Apr 08 2019
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STATUS
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approved
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