Number of collinear point 5-tuples in an n X n X n cubical grid.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =109a(5) =984a(6) =4833a(7) =17216a(8) =50778a(9) =127440a(10) =290514a(11) =599904a(12) =1172679a(13) =2138920a(14) =3744147a(15) =6268512a(16) =10184228a(17) =15922368a(18) =24423156a(19) =36328992a(20) =53149041a(21) =76127736a(22) =107316085a(23) =148241856a(24) =203111358a(25) =273647888a(26) =364606470a(27) =479946816a(28) =626565195