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 A188195 Base-3 Keith numbers. 8
 3, 5, 6, 7, 57, 102, 127, 206, 217, 677, 805, 840, 1486, 1680, 1887, 2090, 2834, 8329, 10145, 12866, 21127, 23002, 50782, 67925, 82685, 96841, 153861, 178852, 357896, 3826652, 17985694, 38610616, 38610808, 70587766, 160804168, 341014432, 632582224 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Keith numbers are described in A007629. LINKS EXAMPLE 57 is here because, in base 3, 57 is 2010 and applying the Keith iteration to this number produces the numbers 2, 0, 1, 0, 3, 4, 8, 15, 30, 57. MATHEMATICA IsKeith[n_, b_] := Module[{d, s, k}, d = IntegerDigits[n, b]; s = Total[d]; k = 1; While[AppendTo[d, s]; s = 2 s - d[[k]]; s < n, k++]; s == n]; Select[Range[3, 10^5], IsKeith[#, 3]&] CROSSREFS Cf. A007629 (base 10), A162724 (base 2), A187713 (base 5), A188196-A188200. Sequence in context: A072134 A179220 A145736 * A021741 A201906 A267158 Adjacent sequences:  A188192 A188193 A188194 * A188196 A188197 A188198 KEYWORD nonn,base AUTHOR T. D. Noe, Mar 24 2011 STATUS approved

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