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E.g.f. satisfies A(x) * log(A(x)) = exp(x * A(x)^3) - 1.
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%I #12 Sep 12 2022 08:28:14

%S 1,1,6,74,1407,36357,1190476,47254783,2205546706,118378505742,

%T 7184030384361,486440226752911,36358328607088010,2973464028723984551,

%U 264119772408892921774,25321946948812001539166,2606224408648404660237647,286624141573198517220290837

%N E.g.f. satisfies A(x) * log(A(x)) = exp(x * A(x)^3) - 1.

%H Seiichi Manyama, <a href="/A357011/b357011.txt">Table of n, a(n) for n = 0..340</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. A349583, A349588, A349601.

%Y Cf. A216136, A356960, A356973.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 08 2022