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

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

(PARI) isok(k) = {my(j=Set(digits(k))); for(b=2, k+1, if((b!=10) && (Set(digits(k, b)) == j), return(1))); return(0); } \\ Michel Marcus, Aug 05 2019

Crossrefs

Cf. A034294, A037415, A037422, A037428, A037433, A037437, A037440, A037442, A037443, A249899, A307498.

Sequence in context: A151547 A008817 A076356 * A263443 A266352 A247144

Adjacent sequences: A308490 A308491 A308492 * A308494 A308495 A308496

Keyword

nonn,base

Author

Jinyuan Wang, Aug 05 2019

Status

approved