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 A186418 #14 Jan 13 2025 16:27:06
%S A186418 1,4,144,10000,960400,112021056,14876193024,2167749739584,
%T A186418 338710896810000,55880440123393600,9629613008027474176,
%U A186418 1719721549507980904704,316402760115623198128384,59700436261400947600000000
%N A186418 a(n) = binomial(2*n,n)^4/(n + 1)^2.
%F A186418 G.f.: 4F3({1/2,1/2,1/2,1/2},{1,2,2},256x), where 4F3 is a hypergeometric series.
%t A186418 Table[Binomial[2n,n]^4/(n+1)^2,{n,0,40}]
%o A186418 (Maxima) makelist(binomial(2*n,n)^4/(n+1)^2,n,0,40);
%Y A186418 Cf. A000108, A002894, A000888, A002897, A186414, A186415, A186416.
%K A186418 easy,nonn
%O A186418 0,2
%A A186418 _Emanuele Munarini_, Feb 21 2011