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 A152653 #23 Aug 31 2025 20:59:31
%S A152653 1,1,4,72,6912,4147200,17915904000,632073093120000,
%T A152653 203881496916787200000,665860658410473652224000000,
%U A152653 24162751572399267891904512000000000,10609496941616618062463314270617600000000000
%N A152653 a(n) = (n-1)! * Product_{k=1..n-2} (n-k)!.
%F A152653 G.f.: G(0)/2, where G(k) = 1 + 1/(1 - 1/(1 + 1/((k+2)!-(k+1)!)/x/G(k+1))); (continued fraction). - _Sergei N. Gladkovskii_, Jun 14 2013
%F A152653 a(n) = A000178(n)/n. - _Vaclav Kotesovec_, Jun 28 2013
%F A152653 a(n) = Det_{i,j = 1..n} i^(j+1), n >= 1, (alternants). - _Wolfdieter Lang_, Oct 10 2015
%t A152653 Table[(n-1)!Product[(n-k)!,{k,n-2}],{n,13}] (* _Harvey P. Dale_, Jul 26 2011 *)
%t A152653 Table[(n-1)! BarnesG[n+1], {n, 1, 12}] (* _Jean-François Alcover_, Nov 07 2016 *)
%K A152653 nonn,easy,changed
%O A152653 1,3
%A A152653 _Karol A. Penson_, Dec 10 2008
%E A152653 a(12) provided by _Harvey P. Dale_, Jul 26 2011