a(n) = 126*(n+1)*binomial(n+5,9)/5.

Terms

a(0) =126a(1) =1512a(2) =9702a(3) =44352a(4) =162162a(5) =504504a(6) =1387386a(7) =3459456a(8) =7963956a(9) =17153136a(10) =34918884a(11) =67721472a(12) =125919612a(13) =225629712a(14) =391270572a(15) =658982016a(16) =1081142370a(17) =1732250520a(18) =2716483770a(19) =4177293120a(20) =6309453150a(21) =9374044680a(22) =13716915030a(23) =19791233280a(24) =28184836680