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 A126328 #11 Dec 25 2024 21:01:32 %S A126328 1,1,1,2,8,34,180,1120,8064,65978,604800,6141046,68428800,830269440, %T A126328 10897286400,153844043294,2324754432000,37440781904842, %U A126328 640237370572800,11585247657984000,221172909834240000,4442690623626907826 %N A126328 Rounded value of n!/(n(n+1)/2); A000142(n)/A000217(n). %C A126328 This is the value that comes up when (all positive integers n and below multiplied together) is divided by (all positive integers n and below added together). Some terms need to be rounded, but for some terms, n! is divisible by n(n+1)/2. See A060462 for these numbers. %e A126328 a(6) = 34 because 6! = 720 and 6(6+1)/2 = 21. 720/21 = 34.2857... rounded to 34. %t A126328 Table[Round[n!/(n(n+1)/2)],{n,22}] (* _James C. McMahon_, Dec 25 2024 *) %Y A126328 Cf. A000142, A000217, A060462. %Y A126328 Cf. A061370. [From _R. J. Mathar_, Dec 13 2008] %K A126328 nonn %O A126328 1,4 %A A126328 Jonathan R. Love (japanada11(AT)yahoo.ca), Mar 09 2007