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 A351333 #7 Feb 07 2022 21:44:54 %S A351333 1,-1,9,-188,7210,-442534,39778322,-4926514200,804271290024, %T A351333 -167367096770256,43244394345493968,-13583108127289832592, %U A351333 5097183064576208028096,-2252211248747050526401296,1157380447302779717382178416,-684423139836843936246492092928 %N A351333 a(n) = Sum_{k=0..n} k! * (-k)^k * Stirling1(n,k). %F A351333 E.g.f.: Sum_{k>=0} (-k * log(1+x))^k. %o A351333 (PARI) a(n) = sum(k=0, n, k!*(-k)^k*stirling(n, k, 1)); %o A351333 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (-k*log(1+x))^k))) %Y A351333 Cf. A351280, A351334. %K A351333 sign %O A351333 0,3 %A A351333 _Seiichi Manyama_, Feb 07 2022