a(n) = 22*(n+1)*binomial(n+3,12).

Terms

a(0) =220a(1) =3146a(2) =24024a(3) =130130a(4) =560560a(5) =2042040a(6) =6534528a(7) =18845112a(8) =49884120a(9) =122862740a(10) =284524240a(11) =624660036a(12) =1308811504a(13) =2631351800a(14) =5099265600a(15) =9561123000a(16) =17401243860a(17) =30826185390a(18) =53279826600a(19) =90034894950a(20) =149023274400a(21) =241985412240a(22) =386041244160a(23) =605812006800