a(n) = 66*(n+1)*binomial(n+5,11).

Terms

a(0) =462a(1) =6336a(2) =46332a(3) =240240a(4) =990990a(5) =3459456a(6) =10618608a(7) =29405376a(8) =74826180a(9) =177365760a(10) =395747352a(11) =838053216a(12) =1695505812a(13) =3294910080a(14) =6177956400a(15) =11218384320a(16) =19791524610a(17) =34015101120a(18) =57085528500a(19) =93740446800a(20) =150886065330a(21) =238437239040a(22) =370429282080