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A146028 Numbers that can be written from base 2 to base 15 using only the digits 0 to 7. 4

%I #21 May 03 2019 08:40:14

%S 0,1,2,3,4,5,6,7,15,16,174731235562130,174731235562131,

%T 174731235562132,174731235562143,174731235562147,174731235562170,

%U 174731235562171,174731235564710,174731235564711,174731236371006,25354527232277132536350,25354527232277132536351

%N Numbers that can be written from base 2 to base 15 using only the digits 0 to 7.

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

%H Stuart A. Burrell, Han Yu, <a href="https://arxiv.org/abs/1905.00832">Digit expansions of numbers in different bases</a>, arXiv:1905.00832 [math.NT], 2019.

%t Select[Range[0, 10^5], Function[n, Times @@ Boole@ Map[Max@ IntegerDigits[n, #] <= 7 &, Range[2, 15]] > 0]] (* _Michael De Vlieger_, Aug 15 2016 *)

%Y Cf. A146025, A146026, A146027, A146029, A131646, A275600.

%K nonn,base

%O 1,3

%A _Daniel Mondot_, Nov 02 2008, Nov 06 2008

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)