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 A270039 a(n) = Smallest m >= 7 containing no threes when represented in any base from 4 through n. 11
 8, 9, 10, 32, 32, 36, 64, 64, 64, 64, 64, 64, 64, 100, 100, 100, 100, 100, 100, 100, 100, 100, 104, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 COMMENTS It remains to be determined if the sequence is finite. LINKS Table of n, a(n) for n=4..36. MAPLE A270039 := proc(n) local m, nothree, b; for m from 7 do nothree := true; for b from 4 to n do convert(convert(m, base, b), set) ; if 3 in % then nothree := false; break; fi; end do: if nothree then return m; end if; end do: end proc: # R. J. Mathar, Mar 11 2016 MATHEMATICA Table[SelectFirst[Range[7, 10^3], Total@ Map[Function[k, DigitCount[#, k, 3]], Range[4, n]] == 0 &], {n, 7, 60}] /. n_ /; MissingQ@ n -> Nothing (* Michael De Vlieger, Mar 10 2016, Version 10.2 *) CROSSREFS Cf. A270029, A216192, A270037 - A270045. Sequence in context: A343860 A308809 A272142 * A048020 A363760 A048000 Adjacent sequences: A270036 A270037 A270038 * A270040 A270041 A270042 KEYWORD nonn,base,more AUTHOR Nathan Fox, Mar 09 2016 STATUS approved

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Last modified March 1 01:46 EST 2024. Contains 370428 sequences. (Running on oeis4.)