A080310 Rewrite 0->100 in the binary expansion of n (but leaving single zero as zero) and append 10 to the right.

2, 6, 50, 14, 402, 102, 114, 30, 3218, 806, 818, 206, 914, 230, 242, 62, 25746, 6438, 6450, 1614, 6546, 1638, 1650, 414, 7314, 1830, 1842, 462, 1938, 486, 498, 126, 205970, 51494, 51506, 12878, 51602, 12902, 12914, 3230, 52370, 13094, 13106, 3278