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 A365032 #19 Dec 01 2024 10:51:47
%S A365032 1,1,9,106,1949,47376,1443757,53003392,2278044729,112267072000,
%T A365032 6242682602321,386708915902464,26411820455554261,1971959747016534016,
%U A365032 159794005364013403125,13967707431203856449536,1310083060716906045342833,131245686122586065682628608
%N A365032 E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x))^3).
%H A365032 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A365032 a(n) = n! * Sum_{k=0..n} (n+1)^(k-1) * binomial(3*k,n-k)/k!.
%F A365032 E.g.f.: (1/x) * Series_Reversion( x*exp(-x*(1 + x)^3) ). - _Seiichi Manyama_, Sep 23 2024
%o A365032 (PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(3*k, n-k)/k!);
%Y A365032 Cf. A088695, A365031.
%Y A365032 Cf. A364940.
%K A365032 nonn
%O A365032 0,3
%A A365032 _Seiichi Manyama_, Aug 17 2023