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 A308565 #5 Jun 07 2019 21:59:28
%S A308565 1,1,0,-6,-12,140,1020,-5208,-117264,-2448,17756640,117905040,
%T A308565 -3177424800,-56997933408,523176632160,25824592321920,31907065317120,
%U A308565 -12118922683971840,-151839867298498560,5619086944920958464,172859973799199892480,-1989399401447725854720,-170925579909303883614720
%N A308565 a(n) = Sum_{k=0..n} binomial(n,k) * Stirling1(n,k) * k!.
%F A308565 a(n) = n! * [x^n] (1 + log(1 + x))^n.
%t A308565 Table[Sum[Binomial[n, k] StirlingS1[n, k] k!, {k, 0, n}], {n, 0, 22}]
%t A308565 Table[n! SeriesCoefficient[(1 + Log[1 + x])^n, {x, 0, n}], {n, 0, 22}]
%Y A308565 Cf. A000312, A000522, A006252, A177380, A247075, A277759, A317274.
%K A308565 sign
%O A308565 0,4
%A A308565 _Ilya Gutkovskiy_, Jun 07 2019