a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120.

Terms

a(0) =8a(1) =36a(2) =102a(3) =231a(4) =456a(5) =819a(6) =1372a(7) =2178a(8) =3312a(9) =4862a(10) =6930a(11) =9633a(12) =13104a(13) =17493a(14) =22968a(15) =29716a(16) =37944a(17) =47880a(18) =59774a(19) =73899a(20) =90552a(21) =110055a(22) =132756a(23) =159030a(24) =189280a(25) =223938a(26) =263466a(27) =308357a(28) =359136a(29) =416361