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

1,3

Comments

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

Links

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

Example

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

Prog

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

Crossrefs

This is a subsequence of A038103.

Sequence in context: A350508 A306105 A038103 * A293725 A351552 A305448

Adjacent sequences: A307251 A307252 A307253 * A307255 A307256 A307257

Keyword

nonn,base

Author

Scott R. Shannon, Apr 01 2019

Status

approved