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A337141 Numbers having at least one 6 in their representation in base 7. 13
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Complementary sequence to A020657.
LINKS
EXAMPLE
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.
MAPLE
seq(`if`(numboccur(6, convert(n, base, 7))>0, n, NULL), n=0..100);
MATHEMATICA
Select[ Range[ 0, 100 ], (Count[ IntegerDigits[ #, 7 ], 6 ]>0)& ]
Select[Range[300], DigitCount[#, 7, 6]>0&] (* Harvey P. Dale, Dec 23 2020 *)
PROG
(PARI) isok(m) = #select(x->(x==6), digits(m, 7)) >= 1;
CROSSREFS
Cf. Numbers with at least one digit b-1 in base b: A074940 (b=3), A337250 (b=4), A337572 (b=5), A333656 (b=6), this sequence (b=7), A337239 (b=8), A338090 (b=9), A011539 (b=10), A095778 (b=11).
Cf. Numbers with no digit b-1 in base b: A005836 (b=3), A023717 (b=4), A020654 (b=5), A037465 (b=6), A020657 (b=7), A037474 (b=8), A037477 (b=9), A007095 (b=10), A171397 (b=11).
Sequence in context: A048929 A187393 A356059 * A043417 A031485 A004919
KEYWORD
nonn,base,easy
AUTHOR
François Marques, Sep 20 2020
STATUS
approved

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Last modified April 14 18:28 EDT 2024. Contains 371667 sequences. (Running on oeis4.)