Number of line segments connecting exactly 6 points in an n x n grid of points.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =14a(6) =36a(7) =66a(8) =104a(9) =150a(10) =228a(11) =322a(12) =432a(13) =558a(14) =700a(15) =926a(16) =1184a(17) =1474a(18) =1796a(19) =2150a(20) =2624a(21) =3146a(22) =3716a(23) =4334a(24) =5000a(25) =5930a(26) =6940a(27) =8030a(28) =9200a(29) =10450