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 A137704 #6 Jan 20 2024 12:18:13
%S A137704 1,1,1,2,8,96,3456,497664,286654464,825564856320,11888133931008000,
%T A137704 1027134771639091200000,532466665617704878080000000,
%U A137704 1932215036193527461576704000000000
%N A137704 Hankel transform of aerated factorial numbers.
%C A137704 Hankel transform of A084261. Hankel transform of A000142 (n!) with interpolated zeros.
%C A137704 a(n+1) is the Hankel transform of A003319 aerated. [From _Paul Barry_, Oct 07 2008]
%F A137704 a(n):=Product{k=0..n, floor((k+2)/2)^(n-k)};
%F A137704 a(n) ~ n^(n^2/2 + 3*n/2 + 7/6) * Pi^(n + 3/2) / (A^4 * 2^(n^2/2 + n/2 - 1/3) * exp(3*n^2/4 + 3*n/2 - 1/3)), where A = A074962 is the Glaisher-Kinkelin constant. - _Vaclav Kotesovec_, Jan 20 2024
%K A137704 easy,nonn
%O A137704 0,4
%A A137704 _Paul Barry_, Feb 07 2008