Variation on Fermat's Diophantine m-tuple: 1 + the GCD of any two distinct terms is a square.

Terms

a(0) =0a(1) =3a(2) =15a(3) =24a(4) =48a(5) =63a(6) =120a(7) =195a(8) =255a(9) =528a(10) =960a(11) =3024a(12) =3363a(13) =3480a(14) =3720a(15) =3843a(16) =4095a(17) =4623a(18) =5475a(19) =12099a(20) =16383a(21) =19599a(22) =24963a(23) =37635a(24) =38415a(25) =44943a(26) =56643a(27) =62499a(28) =65535a(29) =69168