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%I #21 Mar 19 2024 09:25:40
%S 0,1,3,29,444,9454,257822,8576504,336770592,15246592440,781883091672,
%T 44797478362680,2836034500712256,196601715537070752,
%U 14811696896760459264,1205008924460733794688,105284627507520312994560,9832559605580777568425856
%N E.g.f. satisfies A(x) = log(1 + x/(1 - A(x)))/(1 - A(x)).
%F a(n) = Sum_{k=1..n} (n+2*k-2)!/(n+k-1)! * Stirling1(n,k).
%o (PARI) a(n) = sum(k=1, n, (n+2*k-2)!/(n+k-1)!*stirling(n, k, 1));
%Y Cf. A371326, A371342.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Mar 19 2024
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