Number of distinct lines passing through 3 or more points in an n X n grid.

Terms

a(0) =0a(1) =0a(2) =0a(3) =8a(4) =14a(5) =32a(6) =58a(7) =108a(8) =174a(9) =296a(10) =406a(11) =628a(12) =898a(13) =1216a(14) =1582a(15) =2188a(16) =2754a(17) =3528a(18) =4398a(19) =5524a(20) =6778a(21) =8336a(22) =9778a(23) =11812a(24) =14038a(25) =16456a(26) =19066a(27) =22540a(28) =25954a(29) =29968