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%I #12 Feb 07 2022 21:45:03
%S 1,-1,7,-139,5227,-317491,28352347,-3495615859,568791063547,
%T -118065959980051,30445266606199387,-9547490385298102579,
%U 3578014749635903623867,-1579193384981544127824211,810752966831581612807206427,-479049438742420410992820125299
%N a(n) = Sum_{k=0..n} k! * (-k)^k * Stirling2(n,k).
%F E.g.f.: Sum_{k>=0} (k * (1 - exp(x)))^k.
%o (PARI) a(n) = sum(k=0, n, k!*(-k)^k*stirling(n, k, 2));
%o (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k*(1-exp(x)))^k)))
%Y Cf. A122399, A351218, A351281, A351333.
%K sign
%O 0,3
%A _Seiichi Manyama_, Feb 07 2022
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