A369132 Numbers whose "Look and Say" description (cf. A045918) is a substring of the number.

22, 333, 4444, 22333, 33322, 55555, 224444, 333000, 333111, 333222, 333444, 333555, 333666, 333777, 333888, 333999, 444422, 666666, 2255555, 3334444, 4444333, 5555522, 7777777, 22333000, 22333111, 22333222, 22333444, 22333555, 22333666, 22333777, 22333888, 22333999, 22666666, 33322333

Offset: 1

Author

Scott R. Shannon, Jan 14 2024

Keywords

• nonn
• base

Comments

This sequence is infinite as it contains A002275(A002275(k)) for any k > 1. - Rémy Sigrist, Jan 18 2024

Examples

			22 is a term as A045918(22) = 22, and "22" contains "22" as a substring.
333 is a term as A045918(333) = 33, and "333" contains "33" as a substring.
33322333 is a term as A045918(33322333) = 332233, and "33322333 " contains "332233" as a substring.
999999999 is a term as A045918(999999999) = 99, and "999999999" contains "99" as a substring. It is likely this is the last possible term.
		

Links

• Scott R. Shannon, Table of n, a(n) for n = 1..56

Crossrefs

Cf. A002275, A005150, A045918, A369092 (number is a substring of its description).