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 A377895 #8 Feb 16 2025 08:34:07
%S A377895 1,2,15,283,8057,313161,15436735,922964771,64910124753,5250807814753,
%T A377895 480339263735831,49032749858906067,5525542086267361801,
%U A377895 681359718334607629409,91259859216031641999375,13193464971338727171704611,2047721360761921797402720545,339610337568547449759788735553
%N A377895 E.g.f. satisfies A(x) = (1 + x) * exp(x * A(x)^3).
%H A377895 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A377895 E.g.f.: (1+x) * exp( -LambertW(-3*x*(1+x)^3)/3 ).
%F A377895 E.g.f.: ( -LambertW(-3*x*(1+x)^3)/(3*x) )^(1/3).
%F A377895 a(n) = n! * Sum_{k=0..n} (3*k+1)^(k-1) * binomial(3*k+1,n-k)/k!.
%o A377895 (PARI) a(n) = n!*sum(k=0, n, (3*k+1)^(k-1)*binomial(3*k+1, n-k)/k!);
%Y A377895 Cf. A377826, A377894.
%K A377895 nonn
%O A377895 0,2
%A A377895 _Seiichi Manyama_, Nov 11 2024