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 A381065 #11 Feb 13 2025 02:24:44
%S A381065 0,0,0,1,2,15,85,609,4844,43238,427090,4630241,54683046,699012093,
%T A381065 9617979007,141755256889,2228396376088,37221746535564,658390407698084,
%U A381065 12295201090394017,241749652842156074,4992277083472634507,108032799218176059337,2444797394606939402449
%N A381065 Expansion of e.g.f. -log(1-x)^3 * exp(-x) / 6.
%F A381065 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k,3)|.
%o A381065 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k, 3, 1)));
%Y A381065 Column k=3 of A269953.
%Y A381065 Cf. A381022, A381067.
%K A381065 nonn
%O A381065 0,5
%A A381065 _Seiichi Manyama_, Feb 12 2025