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 A377684 #10 Nov 04 2024 09:08:52 %S A377684 1,0,8,12,176,840,7416,58800,529728,5152896,54070560,612342720, %T A377684 7472424384,97979207040,1375839795456,20619488373120,328716465177600, %U A377684 5556948993792000,99324048442208256,1871986425192990720,37110785352536724480,772059856808638218240,16820447458491885035520 %N A377684 Expansion of e.g.f. (1 - x * log(1 - x))^4. %F A377684 a(n) = n! * Sum_{k=0..floor(n/2)} k! * binomial(4,k) * |Stirling1(n-k,k)|/(n-k)!. %o A377684 (PARI) a(n) = n!*sum(k=0, n\2, k!*binomial(4, k)*abs(stirling(n-k, k, 1))/(n-k)!); %Y A377684 Cf. A377682, A377683. %K A377684 nonn,easy %O A377684 0,3 %A A377684 _Seiichi Manyama_, Nov 04 2024