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A335043 Lexicographically earliest sequence of distinct positive integers such that for any n > 0, the decimal representations of a(2*n-1) and of a(2*n+1) appear as substrings in the decimal representation of a(2*n). 1
1, 12, 2, 23, 3, 34, 4, 45, 5, 56, 6, 67, 7, 78, 8, 89, 9, 109, 10, 110, 11, 113, 13, 130, 30, 330, 33, 331, 31, 314, 14, 140, 40, 240, 24, 224, 22, 220, 20, 320, 32, 321, 21, 215, 15, 150, 50, 250, 25, 251, 51, 351, 35, 352, 52, 526, 26, 260, 60, 160, 16, 161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence has similarities with A281978; here we look for substrings, there for divisors.

This sequence has similarities with A262323: in both sequences, consecutive terms overlap.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10001

Rémy Sigrist, Colored logarithmic scatterplot of the first 10001 terms (where the color denotes the parity of n)

Rémy Sigrist, PARI program for A335043

EXAMPLE

The first terms are:

  n   a(n)

  --  ------

   1  1

   2  12

   3   2

   4   23

   5    3

   6    34

   7     4

   8     45

   9      5

  10      56

  11       6

PROG

(PARI) See Links section.

CROSSREFS

Cf. A262323, A281978.

Sequence in context: A183729 A238718 A303782 * A040143 A163599 A334700

Adjacent sequences:  A335040 A335041 A335042 * A335044 A335045 A335046

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Jun 01 2020

STATUS

approved

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Last modified March 3 03:03 EST 2021. Contains 341756 sequences. (Running on oeis4.)