A369092 Numbers which are a substring of their own "Look and Say" description (cf. A045918).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 31, 41, 51, 61, 71, 81, 91, 101, 110, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 131, 141, 151, 161, 171, 181, 191, 221, 322, 422, 522, 622, 722, 822, 922, 1022, 1101, 1121, 1131, 1141, 1151, 1161, 1171, 1181, 1191

Offset: 1

Author

Scott R. Shannon, Jan 13 2024

Keywords

• nonn
• base

Comments

It is likely the 171 terms of the attached bfile, with a(171) = 22119221, forms the complete list of such numbers, although this is unknown.

Examples

			1 is a term as A045918(1) = 10, which contains "1" as a substring.
101 is a term as A045918(101) = 111011, which contains "101" as a substring.
22119221 is a term as A045918(22119221) = 2221192211, which contains "22119221" as a substring. It is likely this is the last possible term.
		

Links

• Scott R. Shannon, Table of n, a(n) for n = 1..171

Crossrefs

Cf. A369132 (description is a substring of the number), A005150, A045918.