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E.g.f. satisfies A(x) = (exp(x / (1 - A(x))^3) - 1) / (1 - A(x)).
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%I #13 Sep 08 2024 13:47:41

%S 0,1,9,190,6435,301126,18007161,1311752590,112703870439,

%T 11158543451926,1250964512674533,156642117419304958,

%U 21668625406445359227,3281750147124057118966,540094007004476783547825,95975344500184607391266734,18314947854834472094038237647

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

%H <a href="/index/Res#revert">Index entries for reversions of series</a>

%F a(n) = Sum_{k=1..n} (3*n+2*k-2)!/(3*n+k-1)! * Stirling2(n,k).

%F E.g.f.: Series_Reversion( (1 - x)^3 * log(1 + x * (1 - x)) ).

%o (PARI) a(n) = sum(k=1, n, (3*n+2*k-2)!/(3*n+k-1)!*stirling(n, k, 2));

%Y Cf. A274265, A376034, A376035.

%Y Cf. A371329, A376037.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Sep 07 2024