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 A377741 #11 Nov 06 2024 04:37:22
%S A377741 1,4,37,583,13225,394681,14659537,652829857,33937422001,2018665692721,
%T A377741 135274646371561,10087017309339433,828563190097478425,
%U A377741 74348364577760978329,7236649495742795579809,759466703902106082652321,85492204279344776678878945,10275933748282019792253453025
%N A377741 E.g.f. satisfies A(x) = exp(x) * (1 + x * A(x))^3.
%F A377741 a(n) = n! * Sum_{k=0..n} (k+1)^(n-k-1) * binomial(3*k+3,k)/(n-k)!.
%F A377741 a(n) = A364983(n+1)/(n+1).
%o A377741 (PARI) a(n) = n!*sum(k=0, n, (k+1)^(n-k-1)*binomial(3*k+3, k)/(n-k)!);
%Y A377741 Cf. A072597, A377740.
%Y A377741 Cf. A364983, A377575.
%K A377741 nonn
%O A377741 0,2
%A A377741 _Seiichi Manyama_, Nov 05 2024