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 A049504 #14 Mar 15 2023 15:28:41 %S A049504 1,1,12,47520,266499072000,5578457158440714240000, %T A049504 903833169262981594760400076800000000, %U A049504 2035652583056655211566004660439314466655436800000000000,103962610930356904475854868257296244089884364267142052118842572800000000000000 %N A049504 a(n) = Product_{i = 0..n-1} ((3*i+1)!*(6*i)!*(2*i)!)/((4*i)!*(4*i+1)!). %C A049504 Given in first printing of Bressoud book as number of cyclically symmetric transpose complement plane partitions. For correct version see A051255. %D A049504 D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; Eq. (6.15), p. 199. %F A049504 a(n) ~ A^(-1/2) * Gamma(1/3) * 2^(-1/9 + 3*n/2 - 4*n^2) * 3^(-1/24 - 5*n/2 + 9*n^2/2) * exp(1/24 + n - 9*n^2/4) * n^(1/8 - n + 3*n^2/2) * Pi^((n-1)/2), where A = A074962 is the Glaisher-Kinkelin constant. - _Vaclav Kotesovec_, Apr 25 2016 %p A049504 a := proc(n) local i; mul((3*i+1)!*(6*i)!*(2*i)!/((4*i)!*(4*i+1)!),i = 0..n-1); end; %t A049504 Table[Product[((3i+1)!(6i)!(2i)!)/((4i)!(4i+1)!),{i,0,n-1}],{n,0,10}] (* _Harvey P. Dale_, Apr 25 2016 *) %K A049504 nonn,nice,easy %O A049504 0,3 %A A049504 _N. J. A. Sloane_ %E A049504 Definition corrected by _Harvey P. Dale_, Apr 25 2016