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A186416
a(n) = binomial(2n,n)^4/(n+1)^3.
4
1, 2, 48, 2500, 192080, 18670176, 2125170432, 270968717448, 37634544090000, 5588044012339360, 875419364366134016, 143310129125665075392, 24338673855047938317568, 4264316875814353400000000, 767401591466550107174400000, 141345980472409642279275210000, 26569505644587874058090478570000
OFFSET
0,2
FORMULA
G.f.: 4F3(1/2,1/2,1/2,1/2;2,2,2;256*x), where nFm(...;..;.) denotes a generalized hypergeometric series.
a(n) = (A000108(n))^3*A000984(n). - R. J. Mathar, Feb 23 2011
MAPLE
A186416 := proc(n) binomial(2*n, n)^4/(n+1)^3 ; end proc: # R. J. Mathar, Feb 23 2011
MATHEMATICA
Table[Binomial[2n, n]^4/(n+1)^3, {n, 0, 40}]
PROG
(Maxima) makelist(binomial(2*n, n)^4/(n+1)^3, n, 0, 40);
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Emanuele Munarini, Feb 21 2011
STATUS
approved