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 A371121 #12 Sep 19 2024 11:06:18 %S A371121 1,0,2,3,56,330,5724,68460,1351552,24594192,578257200,13915923120, %T A371121 389216689344,11518744311360,377576873670528,13185760854520800, %U A371121 497969104450867200,19992393239486976000,856421361373185137664,38819358713756193292800 %N A371121 E.g.f. satisfies A(x) = 1 - x*A(x)*log(1 - x*A(x)). %H A371121 <a href="/index/Res#revert">Index entries for reversions of series</a> %F A371121 a(n) = (n!)^2 * Sum_{k=0..floor(n/2)} |Stirling1(n-k,k)|/( (n-k)! * (n-k+1)! ). %F A371121 E.g.f.: (1/x) * Series_Reversion( x/(1 - x*log(1 - x)) ). - _Seiichi Manyama_, Sep 19 2024 %o A371121 (PARI) a(n) = n!^2*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(n-k+1)!)); %Y A371121 Cf. A370993, A371117, A371122. %Y A371121 Cf. A371119. %K A371121 nonn %O A371121 0,3 %A A371121 _Seiichi Manyama_, Mar 11 2024