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%I #13 Jun 26 2021 08:58:55
%S 1,-1,-2,-2,7,78,513,2665,9406,-13902,-789143,-11806456,-140040408,
%T -1463842226,-13377115923,-95264642343,-198034245627,11021440199748,
%U 322964047973519,6617250866231379,118668721540190350,1965786734149801960,30348547043773563767
%N E.g.f.: Product_{k>=1} (1 - (exp(x) - 1)^k / k!).
%C Stirling transform of A185895.
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/StirlingTransform.html">Stirling Transform</a>
%F a(n) = Sum_{k=0..n} Stirling2(n,k) * A185895(k).
%o (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(prod(k=1, N, 1-(exp(x)-1)^k/k!)))
%Y Cf. A048993, A140585, A185895, A305547.
%K sign
%O 0,3
%A _Seiichi Manyama_, Jun 26 2021