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 A186416 #12 Jan 22 2019 22:57:15 %S A186416 1,2,48,2500,192080,18670176,2125170432,270968717448,37634544090000, %T A186416 5588044012339360,875419364366134016,143310129125665075392, %U A186416 24338673855047938317568,4264316875814353400000000,767401591466550107174400000,141345980472409642279275210000,26569505644587874058090478570000 %N A186416 a(n) = binomial(2n,n)^4/(n+1)^3. %F A186416 G.f.: 4F3(1/2,1/2,1/2,1/2;2,2,2;256*x), where nFm(...;..;.) denotes a generalized hypergeometric series. %F A186416 a(n) = (A000108(n))^3*A000984(n). - _R. J. Mathar_, Feb 23 2011 %p A186416 A186416 := proc(n) binomial(2*n,n)^4/(n+1)^3 ; end proc: # _R. J. Mathar_, Feb 23 2011 %t A186416 Table[Binomial[2n,n]^4/(n+1)^3,{n,0,40}] %o A186416 (Maxima) makelist(binomial(2*n,n)^4/(n+1)^3,n,0,40); %Y A186416 Cf. A000108, A002894, A000888, A002897, A186414, A186415. %K A186416 easy,nonn %O A186416 0,2 %A A186416 _Emanuele Munarini_, Feb 21 2011