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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 Nathan Fox, Table of n, a(n) for n = 3..618 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 Cf. A069575, A270027, A270038, A216192, A270039, A270040, A270041, A270042, A270043, A270044, A270045. Sequence in context: A075992 A022294 A087202 * A319132 A362624 A322757 Adjacent sequences: A270034 A270035 A270036 * A270038 A270039 A270040 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.)