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 A368176 #14 Mar 11 2024 05:05:19 %S A368176 0,1,5,26,182,1704,19992,281392,4620464,86707584,1830550400, %T A368176 42940149504,1107995749632,31188982438912,951100528802816, %U A368176 31234626965637120,1099029746752575488,41248797730190032896,1644909773059509682176 %N A368176 Expansion of e.g.f. -log(1 - x * exp(2*x)). %F A368176 a(n) = Sum_{k=1..n} (2*k)^(n-k) * (k-1)! * binomial(n,k). %F A368176 a(n) ~ (n-1)! * 2^n / LambertW(2)^n. - _Vaclav Kotesovec_, Mar 11 2024 %o A368176 (PARI) a(n) = sum(k=1, n, (2*k)^(n-k)*(k-1)!*binomial(n, k)); %Y A368176 Cf. A009306, A009444, A368177. %Y A368176 Cf. A336950. %K A368176 nonn,easy %O A368176 0,3 %A A368176 _Seiichi Manyama_, Dec 14 2023