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A229084
Lexicographically earliest sequence of distinct positive integers written in base 2 such that the concatenation of the terms equals the concatenation of the positive integers, and no term appears in its natural position.
2
110, 1, 1100, 10, 11, 101, 111000, 100, 11010, 10111, 1001, 1011, 1101, 111, 100001000, 110010, 1001110, 10010, 10110, 110101, 1111000, 110011, 1010, 110111, 11001, 11011, 1110, 1111, 1100000, 10000, 11000, 101000, 11100, 100100, 101100, 110100, 11110, 1000
OFFSET
1,1
COMMENTS
Leading zeros are forbidden.
The positive integers written in base 10:
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
|1| 2| 3| 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |...
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
The positive integers written in base 2:
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
|1|10|11|100|101|110|111|1000|1001|1010|1011|1100|1101|1110|...
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
This sequence:
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
| 110|1|1100|10|11|101|111000|100|11010|10111|1001|1011|1101|...
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
Numbers from this sequence written in base 10 (A229085):
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
| 6 |1| 12 | 2| 3| 5 | 56 | 4 | 26 | 23 | 9 | 11| 13|...
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
CROSSREFS
Cf. A228595 (like sequence in base 10), A007088 (numbers written in base 2), A229085.
Sequence in context: A096209 A287469 A266217 * A242568 A278865 A281286
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Sep 13 2013
STATUS
approved