A307254 Numbers k such that k is the substring identical to the most significant digits of its base-3 representation.

0, 1, 2, 10, 20, 21, 102, 110, 212, 220, 1112, 12112, 100120102112, 201012211212, 1012020201210, 2111021022020, 11100220111211, 22201211020121, 112201021022110, 120202121012200, 1222102100221101, 1000102100102121221002, 2000211201000000212101, 10102022202100111202222

Offset: 1

Author

Scott R. Shannon, Apr 01 2019

Keywords

• nonn
• base

Comments

Numbers k whose base-3 representation begins with the same digits as k itself.

Examples

			220_10 = 22011_3, which also begins with '220'.
		

Links

• Scott R. Shannon, Table of n, a(n) for n = 1..500

Crossrefs

This is a subsequence of A038103.

Programs

PARI

isok(n) = my(vb=digits(n, 3), vd=digits(n)); vd == vector(#vd, k, vb[k]); \\ Michel Marcus, Apr 08 2019