a(n) = n*(n + 1)*(n + 2)*(n + 3)*(n + 4)*(n^2 - n + 6)/720.

Terms

a(0) =1a(1) =8a(2) =42a(3) =168a(4) =546a(5) =1512a(6) =3696a(7) =8184a(8) =16731a(9) =32032a(10) =58058a(11) =100464a(12) =167076a(13) =268464a(14) =418608a(15) =635664a(16) =942837a(17) =1369368a(18) =1951642a(19) =2734424a(20) =3772230a(21) =5130840a(22) =6888960a(23) =9140040a(24) =11994255a(25) =15580656a(26) =20049498a(27) =25574752a(28) =32356808a(29) =40625376