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 A376037 #14 Sep 08 2024 13:47:48 %S A376037 0,1,7,115,3047,111771,5244555,299941195,20239069807,1574068019851, %T A376037 138641219870243,13640672949173403,1482772864485867399, %U A376037 176478769995088245595,22825571074271407363771,3187825736999237502879019,478120273969744650293424095 %N A376037 E.g.f. satisfies A(x) = (exp(x / (1 - A(x))^2) - 1) / (1 - A(x)). %H A376037 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376037 a(n) = Sum_{k=1..n} (2*n+2*k-2)!/(2*n+k-1)! * Stirling2(n,k). %F A376037 E.g.f.: Series_Reversion( (1 - x)^2 * log(1 + x * (1 - x)) ). %o A376037 (PARI) a(n) = sum(k=1, n, (2*n+2*k-2)!/(2*n+k-1)!*stirling(n, k, 2)); %Y A376037 Cf. A371329, A376036. %Y A376037 Cf. A085527, A371371. %K A376037 nonn %O A376037 0,3 %A A376037 _Seiichi Manyama_, Sep 07 2024