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 A373875 #9 Jun 20 2024 11:08:46 %S A373875 0,1,3,32,802,36854,2698598,288450168,42388536888,8198703649296, %T A373875 2019226648157472,616991110153816848,229048514514263311008, %U A373875 101540936651344709359632,52984383824921037875927760,32145394332240602286960456192 %N A373875 a(n) = Sum_{k=1..n} k! * k^(n-2) * |Stirling1(n,k)|. %F A373875 E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k^2. %o A373875 (PARI) a(n) = sum(k=1, n, k!*k^(n-2)*abs(stirling(n, k, 1))); %Y A373875 Cf. A320096, A373855, A373870. %Y A373875 Cf. A220181, A373873, A373874. %K A373875 nonn %O A373875 0,3 %A A373875 _Seiichi Manyama_, Jun 20 2024