Number of lines through exactly 5 points of an n X n grid of points.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =12a(6) =4a(7) =4a(8) =4a(9) =24a(10) =52a(11) =40a(12) =20a(13) =76a(14) =148a(15) =236a(16) =204a(17) =228a(18) =252a(19) =356a(20) =476a(21) =612a(22) =764a(23) =932a(24) =1116a(25) =1524a(26) =1548a(27) =1556a(28) =1548a(29) =1884