A372659 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, the Fibonacci numbers that appear in the Zeckendorf representation of n do not appear in the dual Zeckendorf representation of a(n).
0, 2, 1, 3, 20, 4, 15, 12, 5, 7, 13, 8, 29, 6, 10, 21, 16, 36, 9, 19, 63, 11, 18, 17, 28, 33, 14, 26, 59, 22, 54, 56, 57, 101, 23, 34, 25, 27, 96, 46, 53, 88, 24, 44, 51, 42, 211, 38, 49, 93, 92, 180, 47, 91, 207, 30, 37, 64, 50, 62, 43, 60, 80, 31, 41, 85, 76
Offset: 0
Examples
The first terms, alongside the Zeckendorf representation of n and the dual Zeckendorf representation of a(n), in binary, are: n a(n) z(n) d(a(n)) -- ---- ------ -------- 0 0 0 0 1 2 1 10 2 1 10 1 3 3 100 10 4 20 101 101010 5 4 1000 101 6 15 1001 110110 7 12 1010 10101 8 5 10000 111 9 7 10001 1110 10 13 10010 101101 11 8 10100 1011 12 29 10101 10101010
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