A270041 a(n) = Smallest m >= 11 containing no fives when represented in any base from 6 through n.

12, 13, 14, 15, 16, 18, 18, 20, 20, 22, 22, 24, 24, 28, 28, 28, 28, 144, 144, 160, 160, 162, 216, 216, 216, 216, 216, 216, 216, 216, 216, 223, 228, 316, 316, 316, 316, 316, 316, 316, 316, 316, 316, 316, 316, 316, 316, 487, 487

Offset

6,1

Comments

It remains to be determined if the sequence is finite.

Links

Nathan Fox, Table of n, a(n) for n = 6..109

Mathematica

Table[SelectFirst[Range[11, 10^3], Total@ Map[Function[k, DigitCount[#, k, 5]], Range[6, n]] == 0 &], {n, 6, 60}] /. n_ /; MissingQ@ n -> Nothing (* Michael De Vlieger, Mar 10 2016, Version 10.2 *)

Crossrefs

Cf. A270031, A270037, A270038, A216192, A270039, A270040, A270042, A270043, A270044, A270045.

Sequence in context: A343888 A331214 A364733 * A272270 A133894 A209725

Adjacent sequences: A270038 A270039 A270040 * A270042 A270043 A270044

Keyword

nonn,base

Author

Nathan Fox, Mar 09 2016

Status

approved