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A270037 a(n) = Smallest m >= 3 containing no zeros when represented in any base from 3 through n. 12
4, 5, 7, 7, 13, 13, 13, 13, 13, 13, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
COMMENTS
It remains to be determined if the sequence is finite.
Every known term in this sequence is in A069575, and every term in A069575 is in this sequence.
LINKS
MATHEMATICA
Table[SelectFirst[Range[3, 10^3], Total@ Map[Function[k, DigitCount[#, k, 0]], Range[3, n]] == 0 &], {n, 3, 80}] /. n_ /; MissingQ@ n -> Nothing (* Michael De Vlieger, Mar 10 2016, Version 10.2 *)
PROG
(PARI) isok(m, n) = {for (b=3, n, if (! vecmin(digits(m, b)), return (0)); ); 1; }
a(n) = {my(m = 3); while (! isok(m, n), m++); m; } \\ Michel Marcus, Mar 10 2016
CROSSREFS
Sequence in context: A075992 A022294 A087202 * A319132 A362624 A322757
KEYWORD
nonn,base
AUTHOR
Nathan Fox, Mar 09 2016
STATUS
approved

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Last modified February 22 21:30 EST 2024. Contains 370265 sequences. (Running on oeis4.)