A229084 -id:A229084 - cp's OEIS frontend

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

Jaroslav Krizek, Sep 13 2013

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|...
+----+-+----+--+--+---+------+---+-----+-----+----+----+----+

Paul Tek, Table of n, a(n) for n = 1..10000
Paul Tek, PERL program for this sequence

Cf. A228595 (like sequence in base 10), A007088 (numbers written in base 2), A229084.

Perl
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See Link section.
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Corrected by Paul Tek, Sep 19 2013

cp's OEIS Frontend

A229085 Sequence A229084 written in base 10.

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