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A004748 Binary expansion contains 101. 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) ~ n. - Charles R Greathouse IV, Oct 23 2015
EXAMPLE
20 is in the sequence because 20 = 10100_2. '10100' has '101' as one of its substrings. - Indranil Ghosh, Feb 11 2017
MATHEMATICA
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 *)
PROG
(Python)
i=j=0
while j<=100:
if "101" in bin(i)[2:]:
print(str(j)+" "+str(i))
j+=1
i+=1 # Indranil Ghosh, Feb 11 2017
(PARI) is(n)=while(n>4, if(bitand(n, 7)==5, return(1)); n>>=1); 0 \\ Charles R Greathouse IV, Feb 11 2017
CROSSREFS
Sequence in context: A173901 A016084 A007618 * A038030 A094016 A116033
KEYWORD
nonn,base,easy
AUTHOR
EXTENSIONS
Offset corrected by Charles R Greathouse IV, Feb 11 2017
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)