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%I #15 Nov 15 2017 16:02:15
%S 1,-1,-2,-7,-57,-541,-7126,-108072,-1966034,-40620681,-952305757,
%T -24824933859,-714742428220,-22491627743504,-768696164146118,
%U -28344822040761041,-1121925480573229737,-47442205907345238412,-2134679753840086267669
%N Expansion of Product_{n>=1} (1 - n^n*x^n)^(1/n).
%C This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/n, g(n) = n^n.
%H Seiichi Manyama, <a href="/A294948/b294948.txt">Table of n, a(n) for n = 0..387</a>
%F G.f.: exp(-Sum_{k>0} A023887(k)*x^k/k).
%F a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A023887(k)*a(n-k) for n > 0.
%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k^k*x^k)^(1/k)))
%Y Column k=0 of A294947.
%Y Cf. A023881, A023887.
%K sign
%O 0,3
%A _Seiichi Manyama_, Nov 11 2017
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