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 A363356 #13 Aug 17 2023 08:16:05
%S A363356 1,1,5,52,821,17536,473497,15476224,594230345,26221431808,
%T A363356 1307680266221,72739285725184,4465197522732157,299855584017743872,
%U A363356 21867349264346912705,1721013285639521959936,145394112130209844644113,13123788855563296766427136
%N A363356 E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x)^3)).
%F A363356 a(n) = n! * Sum_{k=0..n} (3*n-2*k+1)^(k-1) * binomial(k,n-k)/k!.
%o A363356 (PARI) a(n) = n!*sum(k=0, n, (3*n-2*k+1)^(k-1)*binomial(k, n-k)/k!);
%Y A363356 Cf. A088695, A362771, A363355.
%Y A363356 Cf. A365013.
%K A363356 nonn
%O A363356 0,3
%A A363356 _Seiichi Manyama_, Aug 17 2023