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%I #12 May 12 2018 14:42:16
%S 1,-1,0,-3,26,-75,324,-3535,30988,-242025,2245820,-26847381,339741984,
%T -4205748547,57094691822,-883946426805,14358210544304,
%U -239959114870689,4286519116236900,-82194727064059645,1650577120959962440,-34495065863164195611
%N E.g.f.: 1/Product_{k>0} (1+x^k/k!)^k.
%H Seiichi Manyama, <a href="/A294494/b294494.txt">Table of n, a(n) for n = 0..449</a>
%t With[{nn=30},CoefficientList[Series[1/Product[(1+x^k/k!)^k,{k,nn}],{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, May 12 2018 *)
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1+x^k/k!)^k)))
%Y Cf. A292308.
%Y Cf. A032315, A174661, A294495.
%K sign
%O 0,4
%A _Seiichi Manyama_, Nov 01 2017