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A004748
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Binary expansion contains 101.
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6
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5, 10, 11, 13, 20, 21, 22, 23, 26, 27, 29, 37, 40, 41, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 58, 59, 61, 69, 74, 75, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 101, 104, 105, 106, 107, 108, 109, 110, 111, 116, 117, 118, 119, 122
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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20 is in the sequence because 20 = 10100_2. '10100' has '101' 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], {1, 0, 1}] &] (* Vincenzo Librandi, Feb 17 2018 *)
Select[Range[200], SequenceCount[IntegerDigits[#, 2], {1, 0, 1}]>0&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 01 2020 *)
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PROG
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(Python)
i=j=0
while j<=100:
if "101" in bin(i)[2:]:
print(str(j)+" "+str(i))
j+=1
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CROSSREFS
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KEYWORD
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nonn,base,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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