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%I #21 Sep 08 2022 10:43:56
%S 1,1,8,128,3139,104382,4393590,224045271,13428576766,925335827928,
%T 72082558060889,6264277731652096,600873473776204782,
%U 63059026039778220285,7187299097301622432156,884141943373486896560252,116756337165196381259759707,16474480747756013055963484442
%N E.g.f. satisfies log(A(x)) = (exp(x * A(x)^2) - 1) * A(x).
%H Seiichi Manyama, <a href="/A356972/b356972.txt">Table of n, a(n) for n = 0..329</a>
%F a(n) = Sum_{k=0..n} (2*n+k+1)^(k-1) * Stirling2(n,k).
%o (PARI) a(n) = sum(k=0, n, (2*n+k+1)^(k-1)*stirling(n, k, 2));
%Y Cf. A052880, A349557, A356973.
%Y Cf. A216135, A349601, A356914.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Sep 07 2022
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