

A307254


Numbers k such that k is the substring identical to the most significant digits of its base3 representation.


4



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

1,3


COMMENTS

Numbers k whose base3 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: A009342 A306105 A038103 * A293725 A305448 A177150
Adjacent sequences: A307251 A307252 A307253 * A307255 A307256 A307257


KEYWORD

nonn,base


AUTHOR

Scott R. Shannon, Apr 01 2019


STATUS

approved



