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 A377832 #11 Nov 09 2024 08:19:35
%S A377832 1,3,29,508,13137,452616,19549021,1016932512,61940154177,
%T A377832 4325943203200,340900244374461,29927648769380352,2896829645184711121,
%U A377832 306522175683831195648,35201889560564096132925,4360880891670519541927936,579686447990401730151243009,82304944815106131595482267648
%N A377832 Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - x)^2 * exp(-x) ).
%H A377832 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A377832 E.g.f. A(x) satisfies A(x) = exp(x * A(x))/(1 - x*A(x))^2.
%F A377832 a(n) = n! * Sum_{k=0..n} (n+1)^(k-1) * binomial(3*n-k+1,n-k)/k!.
%F A377832 a(n) ~ (1 + sqrt(3))^(4*n + 5/2) * n^(n-1) / (3^(1/4) * 2^(3*n + 5/2) * exp((sqrt(3) - 1)*n - 2 + sqrt(3))). - _Vaclav Kotesovec_, Nov 09 2024
%o A377832 (PARI) a(n) = n!*sum(k=0, n, (n+1)^(k-1)*binomial(3*n-k+1, n-k)/k!);
%Y A377832 Cf. A377831, A377833.
%Y A377832 Cf. A377742, A377810.
%K A377832 nonn
%O A377832 0,2
%A A377832 _Seiichi Manyama_, Nov 09 2024