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 A208653 #10 Feb 01 2022 17:16:26
%S A208653 1,1,1,3,4,50,90,5145,12544,3429216,11340000,15219319500,68309049600,
%T A208653 457937132487120,2790771598030416,94609025993497640625,
%U A208653 783056974947287040000,135476575389769051389952000,1523136299736565293430210560,1354434926051634531310373234715648
%N A208653 a(n) = Product_{i=floor((n + 1)/2)..n-1} binomial(n-1, i).
%C A208653 Used with A208652 to count palindromic paths for A208654.
%t A208653 m[n_]:=Floor[(n+1)/2]; z=21;
%t A208653 h[n_]:=Product[Binomial[n-1,i],{i,m[n],n-1}]
%t A208653 Table[h[n],{n,1,z}] (* A208653 *)
%Y A208653 Cf. A208652, A208654.
%K A208653 nonn
%O A208653 1,4
%A A208653 _Clark Kimberling_, Mar 02 2012
%E A208653 Definition corrected by _Georg Fischer_, Feb 01 2022