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A337141
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Numbers having at least one 6 in their representation in base 7.
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13
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6, 13, 20, 27, 34, 41, 42, 43, 44, 45, 46, 47, 48, 55, 62, 69, 76, 83, 90, 91, 92, 93, 94, 95, 96, 97, 104, 111, 118, 125, 132, 139, 140, 141, 142, 143, 144, 145, 146, 153, 160, 167, 174, 181, 188, 189, 190, 191, 192, 193, 194, 195, 202, 209, 216, 223, 230, 237, 238, 239, 240
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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33 is not in the sequence since it is 45_7 in base 7, but 34 is in the sequence since it is 46_7 in base 7.
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MAPLE
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seq(`if`(numboccur(6, convert(n, base, 7))>0, n, NULL), n=0..100);
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MATHEMATICA
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Select[ Range[ 0, 100 ], (Count[ IntegerDigits[ #, 7 ], 6 ]>0)& ]
Select[Range[300], DigitCount[#, 7, 6]>0&] (* Harvey P. Dale, Dec 23 2020 *)
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PROG
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(PARI) isok(m) = #select(x->(x==6), digits(m, 7)) >= 1;
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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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