

A335043


Lexicographically earliest sequence of distinct positive integers such that for any n > 0, the decimal representations of a(2*n1) 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



