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 A381105 #11 Feb 14 2025 06:56:43
%S A381105 0,0,0,3,18,95,540,3479,25550,212106,1968435,20211664,227570871,
%T A381105 2788446011,36941736832,526201686373,8019670404980,130221159155540,
%U A381105 2244376179923685,40921210296083610,786941965401130321,15918834017469062277,337908155040286890290,7510104219030171089935
%N A381105 Expansion of e.g.f. log(1-x)^2 * (exp(x) - 1) / 2.
%F A381105 a(n) = Sum_{k=0..n-1} binomial(n,k) * |Stirling1(k,2)|.
%F A381105 a(n) = A381021(n) - A000254(n-1).
%o A381105 (PARI) a(n) = sum(k=0, n-1, binomial(n, k)*abs(stirling(k, 2, 1)));
%Y A381105 Cf. A052863, A381106.
%Y A381105 Cf. A000254, A381021.
%K A381105 nonn
%O A381105 0,4
%A A381105 _Seiichi Manyama_, Feb 14 2025