A328730 - OEIS

%I #5 Oct 26 2019 15:35:55

%S 1,-2,-3,-3,-5,0,-7,0,-6,0,-11,9,-13,0,0,2,-17,12,-19,15,0,0,-23,18,

%T -15,0,-1,21,-29,30,-31,12,0,0,0,33,-37,0,0,30,-41,42,-43,33,30,0,-47,

%U 30,-28,30,0,39,-53,38,0,42,0,0,-59,60,-61,0,42,14,0,66,-67,51,0,70

%N Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^k.

%C Dirichlet inverse of A050367.

%F a(1) = 1; a(n) = -Sum_{d|n, d<n} A050367(n/d) * a(d).

%Y Cf. A050367, A114592, A161918 (positions of 0's), A328731.

%K sign

%O 1,2

%A _Ilya Gutkovskiy_, Oct 26 2019