a(n) = binomial(n+2,2)*binomial(n+5,2).

Terms

a(0) =10a(1) =45a(2) =126a(3) =280a(4) =540a(5) =945a(6) =1540a(7) =2376a(8) =3510a(9) =5005a(10) =6930a(11) =9360a(12) =12376a(13) =16065a(14) =20520a(15) =25840a(16) =32130a(17) =39501a(18) =48070a(19) =57960a(20) =69300a(21) =82225a(22) =96876a(23) =113400a(24) =131950a(25) =152685a(26) =175770a(27) =201376a(28) =229680a(29) =260865