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 A363357 #13 Aug 17 2023 08:16:08 %S A363357 1,1,7,85,1581,39501,1244953,47426373,2120506489,108894505753, %T A363357 6317267871501,408637512353049,29164082035045477,2276557391070945477, %U A363357 192956160476285907457,17647873882378895267821,1732445579330211460781937,181694902682241512454842673 %N A363357 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))). %F A363357 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(k,n-k)/k!. %o A363357 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(k, n-k)/k!); %Y A363357 Cf. A362773, A363358. %Y A363357 Cf. A361142. %K A363357 nonn %O A363357 0,3 %A A363357 _Seiichi Manyama_, Aug 17 2023