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A004750
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Numbers whose binary expansion contains the substring '011'.
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6
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11, 19, 22, 23, 27, 35, 38, 39, 43, 44, 45, 46, 47, 51, 54, 55, 59, 67, 70, 71, 75, 76, 77, 78, 79, 83, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 102, 103, 107, 108, 109, 110, 111, 115, 118, 119, 123, 131, 134, 135, 139, 140, 141, 142, 143, 147, 150
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Indranil Ghosh, Table of n, a(n) for n = 1..32769 (terms 1..1001 from Harvey P. Dale)
Index entries for 2-automatic sequences.
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FORMULA
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a(n) ~ n. - Charles R Greathouse IV, Oct 23 2015
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EXAMPLE
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19 is in the sequence because 19 = 10011_2 and '10011' has '011' as one of its substrings. - Indranil Ghosh, Feb 11 2017
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MATHEMATICA
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Select[Range[200], MemberQ[Partition[IntegerDigits[#, 2], 3, 1], {0, 1, 1}]&] (* Harvey P. Dale, Apr 14 2014 *)
Select[Range[200], SequenceCount[IntegerDigits[#, 2], {0, 1, 1}]>0&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 01 2021 *)
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PROG
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(Python)
i=j=0
while j<=100:
if "011" in bin(i)[2:]:
print(str(j)+" "+str(i))
j+=1
i+=1 # Indranil Ghosh, Feb 11 2017
(PARI) is(n)=while(n>10, if(bitand(n, 7)==3, return(1)); n>>=1); 0 \\ Charles R Greathouse IV, Feb 11 2017
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CROSSREFS
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Cf. A004749, A004751, A004752, A004753.
Sequence in context: A336481 A111477 A238247 * A328870 A244287 A065126
Adjacent sequences: A004747 A004748 A004749 * A004751 A004752 A004753
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KEYWORD
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nonn,easy,base,changed
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Offset corrected by Charles R Greathouse IV, Feb 11 2017
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STATUS
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approved
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