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A004752
Binary expansion contains 010.
7
10, 18, 20, 21, 26, 34, 36, 37, 40, 41, 42, 43, 50, 52, 53, 58, 66, 68, 69, 72, 73, 74, 75, 80, 81, 82, 83, 84, 85, 86, 87, 90, 98, 100, 101, 104, 105, 106, 107, 114, 116, 117, 122, 130, 132, 133, 136, 137, 138, 139, 144, 145, 146, 147, 148, 149, 150
OFFSET
1,1
FORMULA
a(n) ~ n. - Charles R Greathouse IV, Oct 23 2015
EXAMPLE
20 is in the sequence because, 20 = 10100_2 and '10100' has '010' as one of its substrings. - Indranil Ghosh, Feb 11 2017
MATHEMATICA
Select[Range@ 150, Length@ SequencePosition[IntegerDigits[#, 2], {0, 1, 0}] > 0 &] (* Version 10.1, or *)
Select[Range@ 150, MemberQ[Partition[IntegerDigits[#, 2], 3, 1], {0, 1, 0}] &] (* Michael De Vlieger, Feb 11 2017 *)
PROG
(Python)
i=j=0
while j<=100:
if "010" in bin(i)[2:]:
print(str(j)+" "+str(i))
j+=1
i+=1 # Indranil Ghosh, Feb 11 2017
(PARI) is(n)=while(n>9, if(bitand(n, 7)==2, return(1)); n>>=1); 0 \\ Charles R Greathouse IV, Feb 11 2017
CROSSREFS
KEYWORD
nonn,base,easy
EXTENSIONS
Offset corrected by Charles R Greathouse IV, Feb 11 2017
STATUS
approved