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 A186414 #26 Sep 08 2022 08:45:55
%S A186414 1,2,24,500,13720,444528,16099776,631628712,26317863000,1149330319280,
%T A186414 52120705189696,2437827529099872,117006104720150464,
%U A186414 5740095404246000000,286939169121965760000,14579498741074214418000
%N A186414 a(n) = binomial(2n,n)^3/(n+1)^2.
%H A186414 Seiichi Manyama, <a href="/A186414/b186414.txt">Table of n, a(n) for n = 0..559</a>
%F A186414 G.f.: 3F2({1/2, 1/2, 1/2}, {2, 2}, 64x), where 3F2 is a hypergeometric function.
%t A186414 Table[Binomial[2n, n]^3/(n + 1)^2, {n, 0, 20}]
%o A186414 (Maxima) makelist(binomial(2*n,n)^3/(n+1)^2,n,0,40);
%o A186414 (Magma) [Binomial(2*n,n)^3/(n+1)^2: n in [0..50]]; // _Vincenzo Librandi_, Mar 27 2011
%Y A186414 Cf. A000108, A002894, A000888, A002897, A186415.
%K A186414 nonn,easy
%O A186414 0,2
%A A186414 _Emanuele Munarini_, Feb 21 2011