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 A208652 #7 Apr 10 2024 08:02:02
%S A208652 1,2,18,48,3000,10800,4321800,21073920,51849745920,342921600000,
%T A208652 5062554438480000,45444644517888000,3960533401513405516800,
%U A208652 48272757747179554068480,24547182197052103038450000000
%N A208652 Product{i*C(n,i) : 1<=i<=floor[(n+1)/2]}.
%C A208652 Used, along with A208653, to count palindromic paths in A208654.
%t A208652 m[n_]:=Floor[(n+1)/2];z=21;
%t A208652 g[n_]:=Product[i*Binomial[n,i],{i,1,m[n]}]
%t A208652 Table[g[n],{n,1,z}] (* A208652 *)
%t A208652 Table[Gamma[1 + n]^(n/2)/BarnesG[1 + n]*((1 + (-1)^n)/2 + (1 - (-1)^n) * Sqrt[Gamma[1 + n]]/(2*Gamma[(1 + n)/2])), {n, 1, 15}] (* _Vaclav Kotesovec_, Apr 10 2024 *)
%Y A208652 Cf. A208653, A208654.
%K A208652 nonn
%O A208652 1,2
%A A208652 _Clark Kimberling_, Mar 02 2012