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 A354243 #11 May 21 2022 08:30:47 %S A354243 1,2,22,652,36252,3249648,427841136,77725790784,18629187576192, %T A354243 5694658698037824,2162203542669622464,998275836346954738560, %U A354243 550745779092109449586560,357819370067278253918223360,270404811566689476740771496960 %N A354243 Expansion of e.g.f. Sum_{k>=0} (2*k)! * log(1+x)^k / k!. %F A354243 a(n) = Sum_{k=0..n} (2*k)! * Stirling1(n,k). %o A354243 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (2*k)!*log(1+x)^k/k!))) %o A354243 (PARI) a(n) = sum(k=0, n, (2*k)!*stirling(n, k, 1)); %Y A354243 Cf. A006252, A354250. %Y A354243 Cf. A316747, A354240, A354244. %K A354243 nonn %O A354243 0,2 %A A354243 _Seiichi Manyama_, May 20 2022