|
|
A114253
|
|
a(n) = C(5+2*n,5+n)*C(10+2*n,0+n).
|
|
1
|
|
|
1, 84, 3276, 92400, 2187900, 46558512, 923410488, 17439488352, 317907339750, 5644249611000, 98209943231400, 1682207622669600, 28457345616827400
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
(n+1)^2*(11+n)*a(n+1)=4*(7+2*n)*(3+n)*(11+2*n)*a(n).
a(n) ~ 32768*16^n/(Pi*n). (End)
|
|
EXAMPLE
|
If n=1 then C(5+2*1,5+1)*C(10+2*1,0+1) = C7,6)*C(12,1) = 7*12 = 84.
If n=11 then C(5+2*n,5+n)*C(10+2*n,0+n) = C(27,16)*C(32,11) = 13037895*129024480 = 1682207622669600.
|
|
MAPLE
|
seq(binomial(5+2*n, 5+n)*binomial(10+2*n, n), n=0..30); # Robert Israel, Jan 11 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|