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 A364985 #8 Aug 15 2023 07:45:28 %S A364985 1,1,8,123,2884,91445,3664926,177796759,10132646840,663644108169, %T A364985 49123993335130,4055804550134051,369544757016476196, %U A364985 36834870020525413213,3987179241476814768854,465777171342934543710255,58407238852473276959363056,7825395596421876706944643985 %N A364985 E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)^2). %F A364985 a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(2*n+k+1,k)/( (2*n+k+1)*(n-k)! ). %o A364985 (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(2*n+k+1, k)/((2*n+k+1)*(n-k)!)); %Y A364985 Cf. A364983, A364984, A364986. %Y A364985 Cf. A003168. %K A364985 nonn %O A364985 0,3 %A A364985 _Seiichi Manyama_, Aug 15 2023