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%I #26 Jan 08 2025 02:41:44
%S 1,2,19,388,12273,528216,28824811,1907463440,148449329825,
%T 13287501321472,1344889039128291,151888157696186880,
%U 18936317798871433681,2583256803370493809664,382764484828432552194875,61215815097927618654693376,10510472883169375744953509697,1928296235410784800904193638400
%N E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x).
%H Seiichi Manyama, <a href="/A379897/b379897.txt">Table of n, a(n) for n = 0..319</a>
%F a(n) = n! * Sum_{k=0..n} (n+2*k+1)^(k-1) * binomial(n+2*k+1,n-k)/k!.
%o (PARI) a(n) = n!*sum(k=0, n, (n+2*k+1)^(k-1)*binomial(n+2*k+1,n-k)/k!);
%Y Cf. A377893, A379870, A379912.
%Y Cf. A088690, A379884.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Jan 05 2025