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 A248708 #13 Aug 16 2024 23:13:18
%S A248708 60,12600,2522520,514594080,107550162720,22969641895200,
%T A248708 4995897112206000,1103284402265073600,246784661070292144800,
%U A248708 55803246694136969227200,12736017918577260592084800,2930174751896446667689440000,678879630375093886522676256000,158257286142440155623613107216000
%N A248708 a(n) = f(4*n+2)/(f(n-1)*f(n)*f(n+1)*f(n+2)), where f(k) = k!.
%C A248708 These are multinomial coefficients.
%H A248708 Clark Kimberling, <a href="/A248708/b248708.txt">Table of n, a(n) for n = 1..1000</a>
%F A248708 a(n) ~ 2^(8*n+7/2) / (Pi^(3/2) * n^(3/2)). - _Vaclav Kotesovec_, Oct 19 2014
%e A248708 a(2) = 10!/(1!*2!*3!*4!) = 12600.
%t A248708 Table[(4 n + 2)!/((n - 1)! n! (n + 1)! (n + 2)!), {n, 1, 20}]
%o A248708 (Sage) [factorial(4*n + 2)/(factorial(n - 1)* factorial(n)*factorial(n + 1)*factorial(n + 2)) for n in range(1,14)] # _Stefano Spezia_, Aug 16 2024
%Y A248708 Cf. A000142, A001700, A248707, A248709, A248710.
%K A248708 nonn,easy
%O A248708 1,1
%A A248708 _Clark Kimberling_, Oct 12 2014