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A337250 Numbers having at least one 3 in their representation in base 4. 14

%I #29 Oct 10 2020 05:07:48

%S 3,7,11,12,13,14,15,19,23,27,28,29,30,31,35,39,43,44,45,46,47,48,49,

%T 50,51,52,53,54,55,56,57,58,59,60,61,62,63,67,71,75,76,77,78,79,83,87,

%U 91,92,93,94,95,99,103,107,108,109,110,111,112,113,114,115,116,117,118,119

%N Numbers having at least one 3 in their representation in base 4.

%C Complementary sequence of A023717.

%H François Marques, <a href="/A337250/b337250.txt">Table of n, a(n) for n = 1..10000</a>

%e 18 is not in the sequence since it is 102_4 in base 4, but 19 is in the sequence since it is 103_4 in base 4.

%p seq(`if`(numboccur(3, convert(n, base, 4))>0, n, NULL), n=0..100);

%t Select[ Range[ 0, 100 ], (Count[ IntegerDigits[ #, 4 ], 3 ]>0)& ]

%o (PARI) isok(m) = #select(x->(x==3), digits(m, 4)) >= 1; \\ _Michel Marcus_, Sep 20 2020

%Y Cf. A196032 (at least one 0 in base 4).

%Y Cf. Numbers with at least one digit b-1 in base b : A074940 (b=3), this sequence, A337572 (b=5), A333656 (b=6), A337141 (b=7), A337239 (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 19 2020

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)