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 A088500 #16 Apr 26 2021 20:02:31 %S A088500 1,2,10,76,772,9808,149552,2660544,54093696,1237306560,31446049728, %T A088500 879119219328,26811313164672,885830291432448,31518653868782592, %U A088500 1201567079771092992,48860409899753588736,2111033523652100407296 %N A088500 Expansion of e.g.f. 1/(1+2*log(1-x)). %H A088500 Andrew Howroyd, <a href="/A088500/b088500.txt">Table of n, a(n) for n = 0..200</a> %F A088500 a(n) = Sum_{k=0..n} |Stirling1(n, k)|*k!*2^k. %F A088500 a(n) ~ n! * exp(n/2) / (2 * (exp(1/2)-1)^(n+1)). - _Vaclav Kotesovec_, May 03 2015 %F A088500 a(0) = 1; a(n) = 2 * Sum_{k=0..n-1} binomial(n,k) * (n-k-1)! * a(k). - _Ilya Gutkovskiy_, Apr 26 2021 %t A088500 CoefficientList[Series[1/(1+2*Log[1-x]), {x, 0, 20}], x] * Range[0, 20]! (* _Vaclav Kotesovec_, May 03 2015 *) %o A088500 (PARI) my(x='x+O('x^30)); Vec(serlaplace(1/(1+2*log(1-x)))) \\ _Michel Marcus_, Apr 26 2021 %Y A088500 Cf. A007840, A088501. %K A088500 easy,nonn %O A088500 0,2 %A A088500 _Vladeta Jovovic_, Nov 12 2003