cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

Original entry on oeis.org

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

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Author

Jaroslav Krizek, Sep 13 2013

Keywords

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.