A114238 a(n) = binomial(2+2*n, 2+n) * binomial(7+2*n, n).

1, 36, 825, 16016, 286650, 4900896, 81477396, 1330243200, 21455160012, 343138081000, 5455289950110, 86359817849760, 1362899694292500, 21460589553110400, 337374701839395000, 5297540558850547200, 83114164698623615700, 1303247055281641470000, 20427480491760087405660

Offset

0,2

Links

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

Example

if n=0 then C(2+2*0,2+0)*C(7+2*0,0+0) = C(2,2)*C(7,0) = 1*1 = 1.
if n=8 then C(2+2*8,2+8)*C(7+2*8,0+8) = C(18,10)*C(23,8) = 43758*490314 = 21455160012.

Prog

(PARI) a(n)={binomial(2+2*n, 2+n) * binomial(7+2*n, 0+n)} \\ Andrew Howroyd, Nov 08 2019

Crossrefs

Cf. A062190.

Sequence in context: A028197 A028209 A028195 * A028163 A054622 A028108

Adjacent sequences: A114235 A114236 A114237 * A114239 A114240 A114241

Keyword

easy,nonn

Author

Zerinvary Lajos, Feb 04 2006

Extensions

Terms a(13) and beyond from Andrew Howroyd, Nov 08 2019

Status

approved