|
|
A367776
|
|
a(n) = binomial(2*n, n - 1)*(2*n + 1)! / n!.
|
|
0
|
|
|
0, 6, 240, 12600, 846720, 69854400, 6849722880, 779155977600, 100919250432000, 14668613050291200, 2364758225077248000, 418798681661180620800, 80831074222717378560000, 16887920864389166592000000, 3797443866983262444748800000, 914438045469094536918528000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = binomial(2*n+1,n)*(2n)!/(n-1)! for n > 0. - Chai Wah Wu, Nov 30 2023
|
|
MAPLE
|
seq(binomial(2*n, n - 1)*(2*n + 1)! / n!, n = 0..15);
|
|
MATHEMATICA
|
a[n_]:=n*CatalanNumber[n]*Gamma[2*n+2]/n!; Flatten[Table[a[n], {n, 0, 15}]] (* Detlef Meya, Dec 02 2023 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|