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 A351182 #13 Feb 18 2022 13:51:01 %S A351182 1,1,15,683,61332,9135004,2035708760,634172615600,263166948202080, %T A351182 140322186951905736,93484350581344936344,76095870609142447018152, %U A351182 74311960997497053384537408,85748280952260853814490688656 %N A351182 a(n) = Sum_{k=0..n} k^(2*k) * Stirling1(n,k). %F A351182 E.g.f.: Sum_{k>=0} (k^2 * log(1+x))^k / k!. %F A351182 a(n) ~ exp(-exp(-2)/2) * n^(2*n). - _Vaclav Kotesovec_, Feb 18 2022 %o A351182 (PARI) a(n) = sum(k=0, n, k^(2*k)*stirling(n, k, 1)); %o A351182 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k^2*log(1+x))^k/k!))) %Y A351182 Cf. A308490, A305819, A350721, A351180, A351183. %K A351182 nonn %O A351182 0,3 %A A351182 _Seiichi Manyama_, Feb 04 2022