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 A381108 #11 Feb 14 2025 04:00:18
%S A381108 0,0,0,3,30,245,2010,17549,165942,1705584,19024275,229478689,
%T A381108 2981315139,41545542818,618579336284,9804891730633,164897938095108,
%U A381108 2933486106772376,55047126101826453,1086816606230786217,22523274090016854661,488907589907823010158,11093875133012393113766
%N A381108 Expansion of e.g.f. log(1-x)^2 * (exp(x) - 1) / (2 * (1-x)).
%F A381108 a(n) = Sum_{k=0..n-1} binomial(n,k) * |Stirling1(k+1,3)|.
%F A381108 a(n) = A381024(n) - A000399(n+1).
%o A381108 (PARI) a(n) = sum(k=0, n-1, binomial(n, k)*abs(stirling(k+1, 3, 1)));
%Y A381108 Cf. A002627, A381107.
%Y A381108 Cf. A000399, A381024.
%K A381108 nonn
%O A381108 0,4
%A A381108 _Seiichi Manyama_, Feb 14 2025