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 A294322 #5 Oct 28 2017 11:05:35 %S A294322 6,30240,1207084032000,1578472848668491776000000, %T A294322 192013488168893760607534429765632000000000, %U A294322 4963935910233933921764132479991824059486720994836480000000000000 %N A294322 a(n) = Product_{k=0..n} (4*k + 3)!. %F A294322 a(n) ~ 2^(4*n^2 + 23*n/2 + 47/6) * n^(2*n^2 + 11*n/2 + 173/48) * Pi^(n/2 + 1/4) * Gamma(1/4)^(1/2) / (A^(1/4) * exp(3*n^2 + 11*n/2 - 1/48)), where A is the Glaisher-Kinkelin constant A074962. %F A294322 A268505(n) * A294320(n) * A294321(n) * A294322(n) = A000178(4*n + 3). %t A294322 Table[Product[(4*k + 3)!, {k, 0, n}] , {n, 0, 10}] %Y A294322 Cf. A268505, A294320, A294321, A294325. %K A294322 nonn %O A294322 0,1 %A A294322 _Vaclav Kotesovec_, Oct 28 2017