A146029 Numbers that can be written from base 2 to base 17 using only the digits 0 to 8 (conjectured to be complete).

0, 1, 2, 3, 4, 5, 6, 7, 8, 17, 18

Offset: 1

Author

Daniel Mondot, Nov 02 2008

Keywords

• nonn
• base

Comments

It is a plausible conjecture that there are no more terms, but this has not been proved. - N. J. A. Sloane, Nov 17 2017

Links

• Stuart A. Burrell, Han Yu, Digit expansions of numbers in different bases, arXiv:1905.00832 [math.NT], 2019.

Crossrefs

Cf. A146025, A146026, A146027, A146028, A131646, A275600.

Programs

Mathematica

Select[Range[0, 10^5], Function[n, Times @@ Boole@ Map[Max@ IntegerDigits[n, #] <= 8 &, Range[2, 17]] > 0]] (* Michael De Vlieger, Aug 15 2016 *)