|
|
A186415
|
|
a(n) = binomial(2n,n)^3/(n+1).
|
|
7
|
|
|
1, 4, 72, 2000, 68600, 2667168, 112698432, 5053029696, 236860767000, 11493303192800, 573327757086656, 29253930349198464, 1521079361361956032, 80361335659444000000, 4304087536829486400000, 233271979857187430688000, 12774642558686527109607000, 706008965215713532853436000, 39337406606398593529683000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: 3F2(1/2,1/2,1/2;1,2;64x), where 3F2(.,.,.;.,.;.) is a generalized hypergeometric series.
|
|
MAPLE
|
|
|
MATHEMATICA
|
Table[Binomial[2n, n]^3/(n+1), {n, 0, 40}]
|
|
PROG
|
(Maxima) makelist(binomial(2*n, n)^3/(n+1), n, 0, 40);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|