A228595 Lexicographically earliest sequence of distinct positive integers such that the concatenation of the terms equals the concatenation of the positive integers, and no term appears in its natural position.

12, 34, 56, 78, 910, 1, 11, 2, 131, 4, 151, 6, 171, 8, 1920, 212, 22, 3, 242, 5, 262, 7, 282, 9, 303, 13, 23, 33, 43, 53, 63, 73, 83, 940, 414, 24, 344, 454, 64, 74, 84, 950, 515, 25, 35, 45, 55, 65, 75, 85, 960, 616, 26, 36, 46, 566, 676, 86, 970, 717, 27

Offset

1,1

Comments

Leading zeros are forbidden.

For any n>0, the concatenation of the (n-1) first terms never equals the concatenation of the (a(n)-1) first positive integers.

Links

Paul Tek, Table of n, a(n) for n = 1..10000

Paul Tek, PERL program for this sequence

Example

The positive integers:
+-+-+-+-+-+-+-+-+-+---+---+---+---+---+---+---+---+---+
|1|2|3|4|5|6|7|8|9|1 0|1 1|1 2|1 3|1 4|1 5|1 6|1 7|1 8| ...
+-+-+-+-+-+-+-+-+-+---+---+---+---+---+---+---+---+---+
This sequence:
+---+---+---+---+-----+-+---+-+-----+-+-----+-+-----+-+
|1 2|3 4|5 6|7 8|9 1 0|1|1 1|2|1 3 1|4|1 5 1|6|1 7 1|8| ...
+---+---+---+---+-----+-+---+-+-----+-+-----+-+-----+-+

Prog

(Perl) See Link section.

Crossrefs

Cf. A033307, A064809, A098067, A197124.

Sequence in context: A063554 A059805 A141694 * A077295 A030655 A098080

Adjacent sequences: A228592 A228593 A228594 * A228596 A228597 A228598

Keyword

nonn,base

Author

Paul Tek, Aug 27 2013

Status

approved