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 A365033 #10 Aug 18 2023 08:26:47
%S A365033 1,1,9,127,2769,80861,2976733,132394011,6909143265,414041227417,
%T A365033 28025981914581,2115049310887679,176095675272002929,
%U A365033 16035108243371426613,1585349332849711046829,169128107565128349122851,19365426435579375683158977,2368882573995841615546652081
%N A365033 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^2).
%F A365033 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(2*k,n-k)/k!.
%o A365033 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(2*k, n-k)/k!);
%Y A365033 Cf. A363357, A365034.
%Y A365033 Cf. A364941.
%K A365033 nonn
%O A365033 0,3
%A A365033 _Seiichi Manyama_, Aug 17 2023