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 A351183 #13 Feb 04 2022 11:55:49 %S A351183 1,1,15,539,28980,1295404,-177715720,-88870557952,-11213754156480, %T A351183 11072302541223336,8352732988619491824,-1800044600955923261688, %U A351183 -8483589341410812834791040,-2945489916041839476122254560 %N A351183 a(n) = Sum_{k=0..n} k^(2*n) * Stirling1(n,k). %F A351183 E.g.f.: Sum_{k>=0} log(1 + k^2*x)^k / k!. %o A351183 (PARI) a(n) = sum(k=0, n, k^(2*n)*stirling(n, k, 1)); %o A351183 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, log(1+k^2*x)^k/k!))) %Y A351183 Cf. A229261, A320082, A351133, A351180, A351182. %K A351183 sign %O A351183 0,3 %A A351183 _Seiichi Manyama_, Feb 04 2022