A112268 (a(2n+1)+a(2n))^2 = a(2n+1) a(2n) (concatenated, not multiplied).

1, 0, 1, 8, 0, 10, 25, 20, 25, 30, 209, 88, 209, 494, 1729, 494, 1984, 744, 2500, 2450, 2500, 2550, 1984, 5288, 1729, 6048, 14336, 3008, 17284, 4938, 17284, 60494, 14336, 68320, 122449, 20408, 126201, 21948, 148761, 33058, 152100, 35010