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A327268 Dirichlet g.f.: 1 / (zeta(s) * zeta(s-1) * (1 - 2^(2 - s))). 2

%I

%S 1,1,-4,6,-6,-4,-8,24,3,-6,-12,-24,-14,-8,24,96,-18,3,-20,-36,32,-12,

%T -24,-96,5,-14,0,-48,-30,24,-32,384,48,-18,48,18,-38,-20,56,-144,-42,

%U 32,-44,-72,-18,-24,-48,-384,7,5,72,-84,-54,0,72,-192,80,-30,-60,144,-62,-32,-24,1536,84

%N Dirichlet g.f.: 1 / (zeta(s) * zeta(s-1) * (1 - 2^(2 - s))).

%C Dirichlet inverse of A002129.

%H Georg Fischer, <a href="/A327268/b327268.txt">Table of n, a(n) for n = 1..1000</a>

%F a(1) = 1; a(n) = -Sum_{d|n, d<n} A002129(n/d) * a(d).

%t a[1] = 1; a[n_] := Sum[Sum[(-1)^j j, {j, Divisors[n/d]}] a[d], {d, Most @ Divisors[n]}]; Table[a[n], {n, 1, 65}]

%Y Cf. A002129, A046692, A327274, A327278.

%K sign,mult

%O 1,3

%A _Ilya Gutkovskiy_, Oct 22 2019

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Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)