Number of 0..n arrays x(0..7) of 8 elements with zero 6th differences.

Terms

a(0) =2a(1) =9a(2) =24a(3) =85a(4) =202a(5) =429a(6) =1046a(7) =2145a(8) =4022a(9) =6955a(10) =11438a(11) =17927a(12) =26868a(13) =41817a(14) =62238a(15) =89715a(16) =125864a(17) =172459a(18) =231700a(19) =305753a(20) =409430a(21) =537577a(22) =695264a(23) =886875a(24) =1116878a(25) =1391945a(26) =1717032a(27) =2134089a(28) =2625830a(29) =3201035