A197124 -id:A197124 - cp's OEIS frontend

A329127 Lexicographically earliest sequence of distinct positive integers such that the concatenation of the odd-indexed terms equals the concatenation of the even-indexed terms.

1, 11, 12, 2, 3, 31, 13, 32, 21, 14, 4, 5, 51, 15, 52, 22, 23, 33, 34, 41, 16, 6, 7, 71, 17, 72, 24, 42, 25, 53, 35, 54, 43, 36, 61, 18, 8, 9, 91, 19, 92, 26, 62, 27, 73, 37, 74, 44, 45, 55, 56, 63, 38, 81, 110, 10, 20, 201, 111, 112, 28, 82, 29, 93, 39, 94

Offset: 1

Rémy Sigrist, Nov 05 2019

Leading zeros are ignored.

			The first terms of the odd and even bisections are:
    +------+-+---+-+---+---+-+---+---+---+---+---+-+---+---+---+---+---+---+
    | odd  |1|1 2|3|1 3|2 1|4|5 1|5 2|2 3|3 4|1 6|7|1 7|2 4|2 5|3 5|4 3|6 1| ...
    +------+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
    | even |1 1|2|3 1|3 2|1 4|5|1 5|2 2|3 3|4 1|6|7 1|7 2|4 2|5 3|5 4|3 6|1 8| ...
    +------+---+-+---+---+---+-+---+---+---+---+-+---+---+---+---+---+---+---+

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, PARI program for A329127

Cf. A197124.

PARI
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See Links section.
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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.

Original entry on oeis.org

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

Paul Tek, Aug 27 2013

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.

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

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

Cf. A033307, A064809, A098067, A197124.

Perl
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See Link section.
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cp's OEIS Frontend

A329127 Lexicographically earliest sequence of distinct positive integers such that the concatenation of the odd-indexed terms equals the concatenation of the even-indexed terms.

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