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A307424 Dirichlet g.f.: zeta(3*s) / zeta(2*s). 3


%S 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,

%T 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,

%U 0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0

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

%C Dirichlet convolution of A210826 and A008966.

%C Dirichlet convolution of A271102 and A010057.

%H Vaclav Kotesovec, <a href="/A307424/b307424.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DirichletGeneratingFunction.html">Dirichlet Generating Function</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Dirichlet_series">Dirichlet series</a>

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

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

%K sign,mult

%O 1

%A _Vaclav Kotesovec_, Apr 08 2019

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Last modified June 6 04:15 EDT 2020. Contains 334859 sequences. (Running on oeis4.)