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 A377893 #8 Nov 11 2024 06:51:29 %S A377893 1,2,27,742,31337,1796376,130408603,11472417104,1186462228785, %T A377893 141083381264896,18966727953873371,2844742575536036352, %U A377893 470958524169176911513,85307709328403287961600,16782586179544965856158363,3563492814539574559964993536,812273035493592514001487147233 %N A377893 E.g.f. A(x) satisfies A(x) = (1 + x*A(x)^3) * exp(x * A(x)^3). %F A377893 a(n) = n! * Sum_{k=0..n} (3*n+1)^(k-1) * binomial(3*n+1,n-k)/k!. %o A377893 (PARI) a(n) = n!*sum(k=0, n, (3*n+1)^(k-1)*binomial(3*n+1, n-k)/k!); %Y A377893 Cf. A088690, A377892. %K A377893 nonn %O A377893 0,2 %A A377893 _Seiichi Manyama_, Nov 11 2024