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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 François Marques, Table of n, a(n) for n = 1..10000 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 Adjacent sequences: A337138 A337139 A337140 * A337142 A337143 A337144 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.)