Number of collinear point 6-tuples in an n X n X n cubical grid.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =148a(6) =1459a(7) =7816a(8) =30252a(9) =94800a(10) =256782a(11) =617856a(12) =1366224a(13) =2795748a(14) =5412325a(15) =9923416a(16) =17486008a(17) =29560632a(18) =48570684a(19) =77244360a(20) =120061344a(21) =182023572a(22) =270840423a(23) =394457656a(24) =566591620