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A255357
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Natural numbers n, other than multiples of 10, such that n, n^2 and n^3 lack the digit 1 in their decimal expansion.
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0
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2, 3, 7, 62, 63, 65, 66, 67, 74, 76, 77, 78, 84, 86, 87, 92, 93, 94, 95, 202, 207, 274, 275, 282, 284, 287, 288, 292, 295, 298, 305, 307, 452, 453, 457, 587, 588, 592, 594, 607, 624, 632, 635, 636, 637, 638, 653, 664, 665, 666, 667, 668, 675, 686, 688, 695, 697, 698, 702, 703, 705, 707
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..62.
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EXAMPLE
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Numbers {2, 3, 7, 62, 63}, their squares {4, 9, 49, 3844, 3969} and cubes {8, 27, 343, 238328, 250047} all are "one-less".
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MATHEMATICA
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Select[Range[800], NumberDigit[#, 0]!=0&&FreeQ[Flatten[ IntegerDigits/@ {#, #^2, #^3}], 1]&] (* Harvey P. Dale, Sep 24 2021 *)
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CROSSREFS
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Cf. A000027, A052383, A067251, A255398, A255430, A255431.
Sequence in context: A299923 A337189 A087358 * A270002 A057736 A181263
Adjacent sequences: A255354 A255355 A255356 * A255358 A255359 A255360
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov, Feb 23 2015
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EXTENSIONS
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Definition modified by Harvey P. Dale, Sep 24 2021
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STATUS
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approved
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