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 A378044 #11 Feb 16 2025 08:34:07
%S A378044 1,2,17,349,10661,444161,23447635,1500738989,112954047113,
%T A378044 9777254959729,956963374613471,104510139881448797,
%U A378044 12599380858829314093,1662018439019972570681,238128379446158082330779,36825779588890274967294061,6113887910300601007096973585,1084611999181162104894547358561
%N A378044 E.g.f. satisfies A(x) = (1+x) * exp( x * (1+x) * A(x)^3 ).
%H A378044 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LambertW-Function.html">Lambert W-Function</a>.
%F A378044 E.g.f.: (1+x) * exp( -LambertW(-3*x*(1+x)^4)/3 ).
%F A378044 a(n) = n! * Sum_{k=0..n} (3*k+1)^(k-1) * binomial(4*k+1,n-k)/k!.
%o A378044 (PARI) a(n) = n!*sum(k=0, n, (3*k+1)^(k-1)*binomial(4*k+1, n-k)/k!);
%Y A378044 Cf. A378019, A378043.
%Y A378044 Cf. A377895.
%K A378044 nonn
%O A378044 0,2
%A A378044 _Seiichi Manyama_, Nov 15 2024