A344183 Lexicographically earliest sequence of positive integers such that for any n > 0, the decimal expansion of a(n) contains the decimal expansion of k for k = 1..n and the decimal expansion of a(n+1) is obtained by replacing a possibly empty substring of the decimal expansion of a(n) by the binary expansion of n+1.

1, 12, 123, 1234, 12345, 123456, 1234567, 12345678, 123456789, 1023456789, 11023456789, 110123456789, 1101213456789, 11012131456789, 110121314156789, 1101213141516789, 11012131415161789, 110121314151617189, 1101213141516171819, 11012013141516171819

Offset: 1

Author

Rémy Sigrist, May 11 2021

Keywords

• nonn
• base

Comments

This sequence is a variant of A035239, easier to compute.

This sequence is not weakly increasing; a(107) < a(106).

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..200
• Rémy Sigrist, Perl program for A344183

Crossrefs

Cf. A035239.

Programs

Perl

See Links section.