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 A280845 #7 Apr 11 2023 13:26:34 %S A280845 0,16,8192,15925248,86973087744,1087163596800000,27052109211893760000, %T A280845 1212439465398129131520000,90809637490664903729479680000, %U A280845 10724436568372543800644091248640000,1906566501044007786781171777536000000000,491287106495421596910231193510320537600000000 %N A280845 a(n) = 16^n * n * (n!)^4. %H A280845 Daniel Suteu, <a href="/A280845/b280845.txt">Table of n, a(n) for n = 0..50</a> %F A280845 a(n) ~ Pi/4 * A134374(n). %F A280845 a(n) ~ Pi^2 * 4^(2n + 1) / exp(4n) * n^(4n + 3). %F A280845 Lim_{n->infinity} a(n) / ((2n+1)!)^2 = Pi/4. %t A280845 Table[16^n*n*(n!)^4, {n, 0, 12}] (* _Wesley Ivan Hurt_, Apr 11 2023 *) %o A280845 (PARI) a(n) = 16^n * n * (n!)^4; %Y A280845 Cf. A134374, A280100. %K A280845 nonn,easy %O A280845 0,2 %A A280845 _Daniel Suteu_, Jan 09 2017