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A229085
Sequence A229084 written in base 10.
2
6, 1, 12, 2, 3, 5, 56, 4, 26, 23, 9, 11, 13, 7, 264, 50, 78, 18, 22, 53, 120, 51, 10, 55, 25, 27, 14, 15, 96, 16, 24, 40, 28, 36, 44, 52, 30, 8, 20, 106, 21, 108, 182, 58, 31, 33, 17, 101, 19, 105, 43, 45, 47, 49, 103, 174, 252, 123, 61, 4032, 32, 48, 80, 452
OFFSET
1,1
COMMENTS
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. Leading zeros are forbidden.
The positive integers written in base 10 (A000027):
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
|1| 2| 3| 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |...
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
The positive integers written in base 2 (A007088):
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
|1|10|11|100|101|110|111|1000|1001|1010|1011|1100|1101|1110|...
+-+--+--+---+---+---+---+----+----+----+----+----+----+----+
Sequence A229084:
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
| 110|1|1100|10|11|101|111000|100|11010|10111|1001|1011|1101|...
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
This sequence a(n):
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
| 6 |1| 12 | 2| 3| 5 | 56 | 4 | 26 | 23 | 9 | 11| 13|...
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+
PROG
(Perl) See Link section.
CROSSREFS
Cf. A228595 (like sequence in base 10), A007088 (numbers written in base 2), A229084.
Sequence in context: A040041 A162933 A304252 * A090850 A163945 A013613
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Sep 13 2013
EXTENSIONS
Corrected by Paul Tek, Sep 19 2013
STATUS
approved