This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A376034 #13 Sep 08 2024 13:47:53 %S A376034 0,1,3,28,429,9136,249315,8300692,326261649,14786485336,759129218367, %T A376034 43543567874764,2759873588979045,191549117617410736, %U A376034 14448371199973057659,1176874833493589697604,102951969888432809238585,9626512744249673928398920 %N A376034 E.g.f. satisfies A(x) = (exp(x / (1 - A(x))^3) - 1) * (1 - A(x))^2. %H A376034 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376034 a(n) = Sum_{k=1..n} (3*n-k-2)!/(3*n-2*k-1)! * Stirling2(n,k). %F A376034 E.g.f.: Series_Reversion( (1 - x)^3 * log(1 + x / (1 - x)^2) ). %o A376034 (PARI) a(n) = sum(k=1, n, (3*n-k-2)!/(3*n-2*k-1)!*stirling(n, k, 2)); %Y A376034 Cf. A274265, A376035, A376036. %K A376034 nonn %O A376034 0,3 %A A376034 _Seiichi Manyama_, Sep 07 2024