%I #13 Mar 14 2023 13:43:38
%S 1,1,3,-5,-107,1041,20701,-440033,-8464455,343190593,5639857561,
%T -423764450889,-4968055259771,754544622295153,3846355902999429,
%U -1818148417882379729,6637679490204153841,5658469355898945338625,-84578525845602646639823
%N E.g.f. satisfies A(x) = exp( x/(1 - x/A(x)^3) ).
%H Winston de Greef, <a href="/A361092/b361092.txt">Table of n, a(n) for n = 0..368</a>
%F a(n) = n! * Sum_{k=0..n} (-3*n+3*k+1)^(k-1) * binomial(n-1,n-k)/k!.
%o (PARI) a(n) = n!*sum(k=0, n, (-3*n+3*k+1)^(k-1)*binomial(n-1, n-k)/k!);
%Y Cf. A161630, A212722, A212917, A361090, A361091.
%Y Cf. A361069, A361097.
%K sign
%O 0,3
%A _Seiichi Manyama_, Mar 01 2023
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