cp's OEIS Frontend

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.

A365034 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^3).

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%I A365034 #11 Aug 18 2023 08:26:43
%S A365034 1,1,11,175,4317,142561,5929513,297901899,17557448681,1188110627137,
%T A365034 90804918357261,7737033497254579,727253150819898541,
%U A365034 74760871323339663489,8344094871249960257009,1004872166403751985971291,129883465213311163328142417
%N A365034 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^3).
%F A365034 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(3*k,n-k)/k!.
%o A365034 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(3*k, n-k)/k!);
%Y A365034 Cf. A363357, A365033.
%Y A365034 Cf. A364942.
%K A365034 nonn
%O A365034 0,3
%A A365034 _Seiichi Manyama_, Aug 17 2023