a(n) = (3*n + 7)*Pochhammer(n, 5) / 4!.

Terms

a(0) =0a(1) =50a(2) =390a(3) =1680a(4) =5320a(5) =13860a(6) =31500a(7) =64680a(8) =122760a(9) =218790a(10) =370370a(11) =600600a(12) =939120a(13) =1423240a(14) =2099160a(15) =3023280a(16) =4263600a(17) =5901210a(18) =8031870a(19) =10767680a(20) =14238840a(21) =18595500a(22) =24009700a(23) =30677400a(24) =38820600a(25) =48689550a(26) =60565050a(27) =74760840a(28) =91626080a(29) =111547920