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 A375687 #16 Aug 25 2024 09:57:48
%S A375687 1,0,2,3,44,210,2934,26040,404592,5302584,95029560,1632252600,
%T A375687 33865401096,712672337520,16986980278800,420485947572600,
%U A375687 11386595338156800,322890555922925760,9820815078397642560,313247186941438569600,10588974153880701225600
%N A375687 Expansion of e.g.f. 1 / sqrt(1 + 2 * x * log(1 - x)).
%F A375687 a(n) = n! * Sum_{k=0..floor(n/2)} A001147(k) * |Stirling1(n-k,k)|/(n-k)!.
%o A375687 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/sqrt(1+2*x*log(1-x))))
%o A375687 (PARI) a001147(n) = prod(k=0, n-1, 2*k+1);
%o A375687 a(n) = n!*sum(k=0, n, a001147(k)*abs(stirling(n-k, k, 1))/(n-k)!);
%Y A375687 Cf. A001147, A052830, A346978, A367878.
%K A375687 nonn
%O A375687 0,3
%A A375687 _Seiichi Manyama_, Aug 24 2024