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 A354250 #9 May 21 2022 08:30:55 %S A354250 1,6,714,360732,476832204,1302897016944,6382799223892560, %T A354250 50956720815425427360,619019914356960664044960, %U A354250 10866561174598537960652828160,264763399994627082733034386813440,8668743073576807048450006051943930880 %N A354250 Expansion of e.g.f. Sum_{k>=0} (3*k)! * log(1+x)^k / k!. %F A354250 a(n) = Sum_{k=0..n} (3*k)! * Stirling1(n,k). %o A354250 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (3*k)!*log(1+x)^k/k!))) %o A354250 (PARI) a(n) = sum(k=0, n, (3*k)!*stirling(n, k, 1)); %Y A354250 Cf. A006252, A354243. %Y A354250 Cf. A316748, A354229, A354251. %K A354250 nonn %O A354250 0,2 %A A354250 _Seiichi Manyama_, May 21 2022