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 A373874 #9 Jun 20 2024 11:08:41 %S A373874 0,1,1,8,142,4534,229658,16951416,1718394312,229119947280, %T A373874 38881745126112,8183542269446928,2092128552508587360, %U A373874 638590833851037194256,229398149222697428624688,95801846241560025353728512,46025711723325944648182502016 %N A373874 a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling1(n,k). %F A373874 E.g.f.: Sum_{k>=1} log(1 + k*x)^k / k^2. %o A373874 (PARI) a(n) = sum(k=1, n, k!*k^(n-2)*stirling(n, k, 1)); %Y A373874 Cf. A320083, A373857, A373869. %Y A373874 Cf. A220181, A373873, A373875. %K A373874 nonn %O A373874 0,4 %A A373874 _Seiichi Manyama_, Jun 20 2024