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 A381068 #9 Feb 13 2025 02:27:49
%S A381068 0,0,0,1,6,45,355,3094,29596,309602,3523110,43384451,575296458,
%T A381068 8177866047,124108103665,2003376811864,34282425365912,620022977756068,
%U A381068 11818804007307308,236852477229232869,4978799197426813454,109547060229435717041,2518068124265761834239
%N A381068 Expansion of e.g.f. -log(1-x)^3 * exp(-x) / (6 * (1-x)).
%F A381068 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * |Stirling1(k+1,4)|.
%F A381068 a(n) = A381066(n) + A381066(n+1).
%o A381068 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*abs(stirling(k+1, 4, 1)));
%Y A381068 Column k=4 of A269954 (with a different offset).
%Y A381068 Cf. A381025, A381066.
%K A381068 nonn
%O A381068 0,5
%A A381068 _Seiichi Manyama_, Feb 12 2025