Number of 3X3 0..n matrices whose square is also a 0..n matrix.

Terms

a(0) =172a(1) =1003a(2) =2546a(3) =8168a(4) =14030a(5) =28328a(6) =40370a(7) =64679a(8) =102377a(9) =151301a(10) =191708a(11) =290679a(12) =356931a(13) =445149a(14) =569583a(15) =787170a(16) =917169a(17) =1190970a(18) =1375176a(19) =1744554a(20) =2061684a(21) =2413461a(22) =2647641a(23) =3323763a(24) =3962721a(25) =4502277a(26) =5124586a(27) =6087406a(28) =6704266a(29) =7973326