a(n) = 30*(n+1)*binomial(n+4,10).

Terms

a(0) =210a(1) =2640a(2) =17820a(3) =85800a(4) =330330a(5) =1081080a(6) =3123120a(7) =8168160a(8) =19691100a(9) =44341440a(10) =94225560a(11) =190466640a(12) =368588220a(13) =686439600a(14) =1235591280a(15) =2157381600a(16) =3665097150a(17) =6074125200a(18) =9842332500a(19) =15623407800a(20) =24336462150a(21) =37255818600a(22) =56125648800a(23) =83304936000a(24) =121949170200