A300890 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, 2*a(n) + a(n+1) is a Fibbinary number (A003714).

1, 2, 4, 8, 5, 6, 9, 3, 10, 12, 13, 7, 18, 28, 16, 32, 17, 30, 14, 36, 56, 20, 24, 21, 22, 25, 15, 11, 19, 26, 29, 23, 27, 31, 66, 33, 62, 37, 54, 38, 52, 34, 60, 40, 48, 41, 46, 44, 42, 45, 39, 50, 49, 35, 58, 53, 43, 47, 51, 59, 138, 61, 134, 57, 55, 146