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A051811
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Numbers with nonzero multiplicative digital root 9.
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2
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9, 19, 33, 90, 91, 109, 119, 133, 190, 191, 259, 295, 303, 313, 330, 331, 356, 365, 529, 536, 563, 592, 635, 653, 900, 901, 910, 911, 925, 952, 1009, 1019, 1033, 1090, 1091, 1109, 1119, 1133, 1190, 1191, 1259, 1295, 1303
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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nzdr9[n_]:=Module[{idn=Select[IntegerDigits[n], #!=0&]}, Times@@idn]; nzdrQ[ n_]:= NestWhile[nzdr9[#]&, n, #>9&]==9; Select[Range[2000], nzdrQ] (* Harvey P. Dale, Sep 09 2014 *)
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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