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 A375990 #17 Jun 05 2025 18:23:17
%S A375990 1,-4,4,16,64,304,1712,11232,84384,715392,6761088,70513920,804683520,
%T A375990 9975536640,133513989120,1919012014080,29482606540800,482183099596800,
%U A375990 8364495012249600,153406409645260800,2965940772905779200,60291976261386240000
%N A375990 Expansion of e.g.f. (1 + 2 * log(1 - x))^2.
%F A375990 a(n) = -4 * (n-1)! + 8 * |Stirling1(n,2)| for n > 0.
%t A375990 With[{nn=30},CoefficientList[Series[(1+2Log[1-x])^2,{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Jun 05 2025 *)
%o A375990 (PARI) a(n) = if(n==0, 1, -4*(n-1)!+8*abs(stirling(n, 2, 1)));
%Y A375990 Cf. A088500, A367474, A375945, A375953, A375987.
%Y A375990 Cf. A182541.
%K A375990 sign,easy
%O A375990 0,2
%A A375990 _Seiichi Manyama_, Sep 05 2024