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A004752 Binary expansion contains 010. 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..32769

Index entries for 2-automatic sequences.

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<=32768:

....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

Cf. A004748, A004749, A004750, A004751, A004753.

Sequence in context: A055567 A087119 A043688 * A087141 A178461 A043724

Adjacent sequences:  A004749 A004750 A004751 * A004753 A004754 A004755

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset corrected by Charles R Greathouse IV, Feb 11 2017

STATUS

approved

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Last modified February 16 20:45 EST 2019. Contains 320189 sequences. (Running on oeis4.)