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 A376558 #11 Sep 28 2024 10:42:38 %S A376558 1,1,3,22,245,3576,65527,1449904,37596393,1118442880,37559084651, %T A376558 1405597826304,58012540741597,2617923512200192,128240561732097375, %U A376558 6777245042104293376,384358793388984148433,23284761629109883600896,1500714780345430134323923 %N A376558 E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x^2*A(x)^2) ). %H A376558 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A376558 E.g.f.: (1/x) * Series_Reversion( x*exp(-x / (1 - x^2)) ). %F A376558 a(n) = n! * Sum_{k=0..floor(n/2)} (n+1)^(n-2*k-1) * binomial(n-k-1,k)/(n-2*k)!. %o A376558 (PARI) a(n) = n!*sum(k=0, n\2, (n+1)^(n-2*k-1)*binomial(n-k-1, k)/(n-2*k)!); %Y A376558 Cf. A052873, A376563. %Y A376558 Cf. A088009, A376474. %K A376558 nonn %O A376558 0,3 %A A376558 _Seiichi Manyama_, Sep 28 2024