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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.

A363355 E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x)^2)).

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%I A363355 #13 Aug 17 2023 08:16:00
%S A363355 1,1,5,46,641,11996,282907,8060242,269429729,10341367480,448317429011,
%T A363355 21667926214694,1155321200076529,67370686916807236,
%U A363355 4265392644606677963,291391173322695366106,21365209437807863776193,1673543873372595900318704
%N A363355 E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x)^2)).
%F A363355 a(n) = n! * Sum_{k=0..n} (2*n-k+1)^(k-1) * binomial(k,n-k)/k!.
%o A363355 (PARI) a(n) = n!*sum(k=0, n, (2*n-k+1)^(k-1)*binomial(k, n-k)/k!);
%Y A363355 Cf. A088695, A362771, A363356.
%Y A363355 Cf. A365012.
%K A363355 nonn
%O A363355 0,3
%A A363355 _Seiichi Manyama_, Aug 17 2023