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 A354251 #9 May 21 2022 08:31:00 %S A354251 1,6,726,365052,481186836,1312477120944,6422029618230000, %T A354251 51225621215200895520,621881012244669445985760, %U A354251 10911233517605729917096273920,265743399210784245852461349120000,8697920910678436598411074217669652480 %N A354251 Expansion of e.g.f. Sum_{k>=0} (3*k)! * (-log(1-x))^k / k!. %F A354251 a(n) = Sum_{k=0..n} (3*k)! * |Stirling1(n,k)|. %o A354251 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (3*k)!*(-log(1-x))^k/k!))) %o A354251 (PARI) a(n) = sum(k=0, n, (3*k)!*abs(stirling(n, k, 1))); %Y A354251 Cf. A007840, A354244. %Y A354251 Cf. A316748, A353118, A354250. %K A354251 nonn %O A354251 0,2 %A A354251 _Seiichi Manyama_, May 21 2022