Number of strings of numbers x(i=1..8) in 0..n with sum i^3*x(i)^2 equal to 512*n^2.

Terms

a(0) =1a(1) =5a(2) =18a(3) =65a(4) =167a(5) =410a(6) =819a(7) =1516a(8) =3278a(9) =5370a(10) =9033a(11) =15333a(12) =22188a(13) =31688a(14) =55054a(15) =67901a(16) =96992a(17) =147435a(18) =184996a(19) =238461a(20) =357370a(21) =415171a(22) =542970a(23) =750963a(24) =877365a(25) =1067583a(26) =1516301a(27) =1638832a(28) =2032842a(29) =2752685