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%I #12 Mar 01 2023 06:22:38
%S 1,1,-3,-23,233,3521,-62171,-1416407,35880977,1095318721,-36224195059,
%T -1387587617239,56675849155705,2612993427672577,-127090039302776395,
%U -6852033608852338199,386750643197222855969,23875394847093826450049
%N E.g.f. satisfies A(x) = exp(x * A(-x)^2).
%H Seiichi Manyama, <a href="/A360987/b360987.txt">Table of n, a(n) for n = 0..367</a>
%F a(n) = Sum_{k=0..n} (2*n - 2*k + 1)^(k-1) * (-2*k)^(n-k) * binomial(n,k).
%o (PARI) a(n) = sum(k=0, n, (2*n-2*k+1)^(k-1)*(-2*k)^(n-k)*binomial(n, k));
%Y Cf. A141369, A196198, A360988, A360989, A360990.
%K sign
%O 0,3
%A _Seiichi Manyama_, Feb 27 2023