%I #11 Sep 25 2022 09:33:41
%S 0,1,5,53,878,19904,573984,20112770,829953368,39425517072,
%T 2119169565120,127163052628512,8426599011632592,611181716437826832,
%U 48159349246147915944,4096752391897622411880,374189567290578072309504,36525100459236757201316352
%N E.g.f. satisfies A(x) = -log(1 - x * exp(A(x))) * exp(A(x)).
%F a(n) = Sum_{k=1..n} (n+k)^(k-1) * |Stirling1(n,k)|.
%o (PARI) a(n) = sum(k=1, n, (n+k)^(k-1)*abs(stirling(n, k, 1)));
%Y Cf. A006963, A357344, A357345.
%Y Cf. A349556.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Sep 25 2022
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