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%I #8 Sep 25 2022 09:33:26
%S 0,1,9,172,5181,214196,11279542,722242795,54482959375,4732518179422,
%T 465226448603533,51061919634063284,6189640391474229790,
%U 821277806639279795053,118394082630978607655201,18426248367244130561233924,3079294928622816257125500821
%N E.g.f. satisfies A(x) = (exp(x * exp(A(x))) - 1) * exp(3 * A(x)).
%F a(n) = Sum_{k=1..n} (n+3*k)^(k-1) * Stirling2(n,k).
%o (PARI) a(n) = sum(k=1, n, (n+3*k)^(k-1)*stirling(n, k, 2));
%Y Cf. A052888, A357346, A357347.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Sep 25 2022
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