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A337239 Numbers having at least one 7 in their representation in base 8. 13

%I #29 Oct 11 2020 07:14:03

%S 7,15,23,31,39,47,55,56,57,58,59,60,61,62,63,71,79,87,95,103,111,119,

%T 120,121,122,123,124,125,126,127,135,143,151,159,167,175,183,184,185,

%U 186,187,188,189,190,191,199,207,215,223,231,239,247,248,249,250,251,252,253,254,255

%N Numbers having at least one 7 in their representation in base 8.

%C Complementary sequence to A037474.

%H François Marques, <a href="/A337239/b337239.txt">Table of n, a(n) for n = 1..10000</a>

%e 54 is not in the sequence since it is 66_8 in base 8, but 55 is in the sequence since it is 67_8 in base 8.

%p seq(`if`(numboccur(7, convert(n, base, 8))>0, n, NULL), n=0..100);

%t Select[ Range[ 0, 100 ], (Count[ IntegerDigits[ #, 8 ], 7 ]>0)& ]

%o (PARI) isok(m) = #select(x->(x==7), digits(m, 8)) >= 1;

%Y Cf. Numbers with at least one digit b-1 in base b : A074940 (b=3), A337250 (b=4), A337572 (b=5), A333656 (b=6), A337141 (b=7), this sequence (b=8), A338090 (b=9), A011539 (b=10), A095778 (b=11).

%Y 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).

%K nonn,base,easy

%O 1,1

%A _François Marques_, Sep 20 2020

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Last modified May 3 01:16 EDT 2024. Contains 372203 sequences. (Running on oeis4.)