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%I #5 May 19 2019 20:41:06
%S 0,1,1,-1,0,-1,1,0,-1,-1,2,1,0,-3,0,1,3,-2,-1,0,4,-3,-1,-5,6,2,2,-11,
%T 4,4,13,-16,-5,-8,30,-8,-7,-33,42,8,16,-82,27,19,95,-116,-21,-45,223,
%U -82,-40,-264,326,46,135,-629,242,99,752,-942,-105,-421,1826,-717,-240
%N Expansion of Sum_{k>=1} mu(k)*log(1 + Sum_{j>=1} x^(prime(j)*k))/k.
%C Inverse Euler transform of A010051.
%F -1 + Product_{n>=1} 1/(1 - x^n)^a(n) = g.f. of A010051.
%t nmax = 65; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + Sum[x^(Prime[j] k), {j, 1, nmax}]]/k, {k, 1, nmax}], {x, 0, nmax}], x] // Rest
%Y Cf. A000607, A008683, A010051, A030010.
%K sign
%O 1,11
%A _Ilya Gutkovskiy_, May 19 2019