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