login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A004750 Numbers whose binary expansion contains the substring '011'. 6
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)
OFFSET

1,1

LINKS

Indranil Ghosh, Table of n, a(n) for n = 1..32769 (terms 1..1001 from Harvey P. Dale)

Index entries for 2-automatic sequences.

FORMULA

a(n) ~ n. - Charles R Greathouse IV, Oct 23 2015

EXAMPLE

19 is in the sequence because 19 = 10011_2 and '10011' has '011' as one of its substrings. - Indranil Ghosh, Feb 11 2017

MATHEMATICA

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 *)

PROG

(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

CROSSREFS

Cf. A004749, A004751, A004752, A004753.

Sequence in context: A336481 A111477 A238247 * A328870 A244287 A065126

Adjacent sequences:  A004747 A004748 A004749 * A004751 A004752 A004753

KEYWORD

nonn,easy,base,changed

AUTHOR

N. J. A. Sloane

EXTENSIONS

Offset corrected by Charles R Greathouse IV, Feb 11 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 22 14:18 EDT 2021. Contains 343177 sequences. (Running on oeis4.)