Number of circles in an n X n grid passing through at least three points.

Terms

a(0) =0a(1) =0a(2) =1a(3) =34a(4) =223a(5) =997a(6) =3402a(7) =9141a(8) =21665a(9) =46390a(10) =90874a(11) =167539a(12) =293443a(13) =487082a(14) =781537a(15) =1209469a(16) =1816528a(17) =2661113a(18) =3822203a(19) =5369662a(20) =7420495a(21) =10086360a(22) =13494376a(23) =17814938a(24) =23256396a(25) =29990654a(26) =38309236a(27) =48485593a(28) =60815343a(29) =75631629