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 A238474 #15 Dec 18 2017 22:47:56
%S A238474 3,-6,20,-90,504,-3360,25920,-226800,2217600,-23950080,283046400,
%T A238474 -3632428800,50295168000,-747242496000,11856247603200,
%U A238474 -200074178304000,3577797070848000,-67580611338240000,1344498478202880000,-28100018194440192000,615524208068689920000
%N A238474 a(n) = (-1)^n*(n+3)!/(2*(n+1)) for n >= 0.
%C A238474 Third column of Sheffer type triangle A238363 (without leading zeros).
%H A238474 Michael De Vlieger, <a href="/A238474/b238474.txt">Table of n, a(n) for n = 0..448</a>
%F A238474 a(n) = (-1)^n*(n+3)!/(2*(n+1)) for n >= 0.
%F A238474 E.g.f.: (d^3/dx^3)(log(1+x)*x^2/2!) = (x^2+3*x+3)/(1+x)^3.
%t A238474 Fold[Append[#1, (-1)^#2 (#2 + 3)!/(2 (#2 + 1))] &, {3}, Range@ 20] (* _Michael De Vlieger_, Dec 18 2017 *)
%Y A238474 Cf. A238363.
%K A238474 sign,easy
%O A238474 0,1
%A A238474 _Wolfdieter Lang_, Mar 01 2014