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%I #25 Feb 11 2023 01:50:52
%S 0,1,0,-6,36,-20,-2730,38178,-93688,-7711272,184968810,-1036880570,
%T -66424040628,2427958996164,-24081426198466,-1271591203182510,
%U 66942964987695120,-1027559316530335952,-45046737788036457006,3332345692967904801438
%N E.g.f. satisfies A(x) = x * exp( -A(x) + x * exp(-A(x)) ).
%H Seiichi Manyama, <a href="/A360442/b360442.txt">Table of n, a(n) for n = 0..399</a>
%F a(n) = Sum_{k=1..n} k^(n-k) * (-n)^(k-1) * binomial(n,k).
%o (PARI) a(n) = sum(k=1, n, k^(n-k)*(-n)^(k-1)*binomial(n, k));
%Y Cf. A055779, A360471.
%K sign
%O 0,4
%A _Seiichi Manyama_, Feb 09 2023
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