%I #14 Sep 08 2022 10:39:13
%S 1,1,10,206,6555,283777,15577332,1036984027,81191314678,7311591070938,
%T 744577308572189,84608911909469235,10613728203840498210,
%U 1456899252646375490851,217215453964895439271178,34956361099228031471844962,6039398076840098381458042875
%N E.g.f. satisfies log(A(x)) = (exp(x * A(x)^3) - 1) * A(x).
%H Seiichi Manyama, <a href="/A356973/b356973.txt">Table of n, a(n) for n = 0..319</a>
%F a(n) = Sum_{k=0..n} (3*n+k+1)^(k-1) * Stirling2(n,k).
%o (PARI) a(n) = sum(k=0, n, (3*n+k+1)^(k-1)*stirling(n, k, 2));
%Y Cf. A052880, A349557, A356972.
%Y Cf. A216136, A356960.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Sep 07 2022