cp's OEIS Frontend

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.

A376037 E.g.f. satisfies A(x) = (exp(x / (1 - A(x))^2) - 1) / (1 - A(x)).

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%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