Number of squares (of another matrix) in M_2(n) - the ring of 2 X 2 matrices over Z_n.

Terms

a(0) =1a(1) =10a(2) =29a(3) =48a(4) =223a(5) =290a(6) =865a(7) =344a(8) =1587a(9) =2230a(10) =5341a(11) =1392a(12) =10459a(13) =8650a(14) =6467a(15) =3182a(16) =30745a(17) =15870a(18) =48061a(19) =10704a(20) =25085a(21) =53410a(22) =103489a(23) =9976a(24) =108035a(25) =104590a(26) =118179a(27) =41520a(28) =262291a(29) =64670