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 A370941 #10 Mar 06 2024 07:59:32 %S A370941 1,2,18,304,7668,259048,11001968,563728464,33857839360,2333472749376, %T A370941 181558569560448,15743501573763456,1505641080366272640, %U A370941 157445985444107880960,17872580693502293022720,2188829492626563123881472,287673783237906407512565760 %N A370941 Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + 2*log(1-x)) ). %H A370941 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A370941 a(n) = (1/(n+1)!) * Sum_{k=0..n} 2^k * (n+k)! * |Stirling1(n,k)|. %o A370941 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+2*log(1-x)))/x)) %o A370941 (PARI) a(n) = sum(k=0, n, 2^k*(n+k)!*abs(stirling(n, k, 1)))/(n+1)!; %Y A370941 Cf. A258922, A370940. %Y A370941 Cf. A370938. %K A370941 nonn %O A370941 0,2 %A A370941 _Seiichi Manyama_, Mar 06 2024