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A186414 revision #25

A186414
a(n) = binomial(2n,n)^3/(n+1)^2.
6
1, 2, 24, 500, 13720, 444528, 16099776, 631628712, 26317863000, 1149330319280, 52120705189696, 2437827529099872, 117006104720150464, 5740095404246000000, 286939169121965760000, 14579498741074214418000
OFFSET
0,2
LINKS
FORMULA
G.f.: 3F2({1/2, 1/2, 1/2}, {2, 2}, 64x), where 3F2 is a hypergeometric function.
MATHEMATICA
Table[Binomial[2n, n]^3/(n + 1)^2, {n, 0, 20}]
PROG
(Maxima) makelist(binomial(2*n, n)^3/(n+1)^2, n, 0, 40);
(MAGMA) [Binomial(2*n, n)^3/(n+1)^2: n in [0..50]]; // Vincenzo Librandi, Mar 27 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Emanuele Munarini, Feb 21 2011
STATUS
approved