Number of collinear point 8-tuples in an n X n X n cubical grid.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =244a(8) =2841a(9) =17844a(10) =80289a(11) =290004a(12) =893607a(13) =2438436a(14) =6043911a(15) =13840224a(16) =29694274a(17) =60220488a(18) =116488506a(19) =215985456