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A023733
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Numbers with no 3's in base-5 expansion.
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8
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0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 14, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 36, 37, 39, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 57, 59, 60, 61, 62, 64, 70, 71, 72, 74, 100, 101, 102, 104, 105, 106, 107, 109, 110, 111, 112, 114
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internal format)
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OFFSET
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1,3
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LINKS
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EXAMPLE
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14 in base 5 is 24, which contains no 3's, so 14 is in the sequence.
15 in base 5 is 30, so 15 is not in the sequence.
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MAPLE
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seq(`if`(numboccur(3, convert(n, base, 5))=0, n, NULL), n=0..127); # Nathaniel Johnston, Jun 27 2011
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MATHEMATICA
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Select[Range[0, 124], Count[IntegerDigits[#, 5], 3] == 0 &]
Select[Range[0, 200], DigitCount[#, 5, 3]==0&] (* Harvey P. Dale, Jul 29 2024 *)
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PROG
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(Scala) (0 to 124).filter(Integer.toString(_, 5).indexOf("3") == -1) // Alonso del Arte, Feb 05 2019
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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