A113894 a(n) = binomial(2*n, n) * binomial(5+2*n, n).

1, 14, 216, 3300, 50050, 756756, 11435424, 172931616, 2618916300, 39731777800, 603923022560, 9197348345640, 140334704005860, 2145155731845000, 32847841152720000, 503812888080163200, 7739375660195721300, 119063197872768778200, 1834199559285273180000

Offset

0,2

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Formula

a(n) = A062190(2*n, n).

Example

a(0) = C(0,0)*C(5,0) = 1*1 = 1.
a(4) = C(8,4)*C(13,4) = 70*715 = 50050.
a(10) = C(20,10)*C(25,10) = 184756*3268760 = 603923022560.

Mathematica

Table[Binomial[2n, n]Binomial[2n+5, n], {n, 0, 20}] (* Harvey P. Dale, Apr 11 2020 *)

Prog

(PARI) a(n) = {binomial(2*n, n) * binomial(5+2*n, n)} \\ Andrew Howroyd, Jan 07 2020

Crossrefs

Cf. A062190.

Sequence in context: A121972 A240781 A353146 * A225315 A292041 A319114

Adjacent sequences: A113891 A113892 A113893 * A113895 A113896 A113897

Keyword

easy,nonn

Author

Zerinvary Lajos, Jan 28 2006

Extensions

Name edited and terms a(13) and beyond from Andrew Howroyd, Jan 07 2020

Status

approved