Voozh

A308493

Numbers k such that k in base 10 contains the same digits as k in some other base.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 20, 21, 23, 31, 41, 42, 43, 46, 51, 53, 61, 62, 63, 71, 73, 81, 82, 83, 84, 86, 91, 93, 100, 101, 102, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 131, 133, 141, 144, 151, 155, 158, 161, 166, 171, 177, 181

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Supersequence of A034294 and A307498.

This sequence is infinite because 2*10^k is a term for any k >= 0.

Also 10^k is a term when k >= 0 and so too 10^k*(10^m - 1)/9 for any k > 0 and m >= 0. - Bruno Berselli, Aug 26 2019

LINKS

Table of n, a(n) for n=1..62.

EXAMPLE

k = 113 is in the sequence because the set of digits of k {1, 3} equals the set of digits of (k in base 110) = 13.

PROG