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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, 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: