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 A377789 #9 Nov 07 2024 10:54:42
%S A377789 1,2,10,88,1148,20088,442896,11802096,369132256,13261156416,
%T A377789 538227938880,24359100451200,1216403663398656,66440221207025664,
%U A377789 3940468338389603328,252190997066643909120,17324237625466992906240,1271459220768570290626560,99289436336361780797288448
%N A377789 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 2*log(1-x)) ).
%H A377789 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A377789 a(n) = n! * Sum_{k=0..n} 2^k * |Stirling1(n,k)|/(n-k+1)!.
%o A377789 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1-2*log(1-x)))/x))
%o A377789 (PARI) a(n) = n!*sum(k=0, n, 2^k*abs(stirling(n, k, 1))/(n-k+1)!);
%Y A377789 Cf. A138013, A377790.
%Y A377789 Cf. A370941, A371005.
%K A377789 nonn
%O A377789 0,2
%A A377789 _Seiichi Manyama_, Nov 07 2024