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A003796 Numbers with no 3 adjacent 0's in binary expansion. 10
0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

David Garth and Adam Gouge, Affinely Self-Generating Sets and Morphisms, Journal of Integer Sequences, Article 07.1.5, 10 (2007) 1-13.

Index entries for 2-automatic sequences.

MATHEMATICA

Select[Range[0, 100], SequenceCount[IntegerDigits[#, 2], {0, 0, 0}]==0&] (* The program uses the SequenceCount function from Mathematica version 10 *) (* Harvey P. Dale, Sep 12 2015 *)

PROG

(Haskell)

a003796 n = a003796_list !! (n-1)

a003796_list = filter f [0..] where

   f x  = x < 4 || x `mod` 8 /= 0 && f (x `div` 2)

-- Reinhard Zumkeller, Jul 01 2013

(PARI) is(n)=while(n>7, if(bitand(n, 7)==0, return(0)); n>>=1); 1 \\ Charles R Greathouse IV, Feb 11 2017

CROSSREFS

Complement of A004779.

Cf. A004745 (no 001), A004746 (no 010), A004744 (no 011), A003754 (no 100), A004742 (no 101), A004743 (no 110), A003726 (no 111).

Cf. A063037, A007088.

Sequence in context: A048107 A078129 A188437 * A032896 A032855 A031993

Adjacent sequences:  A003793 A003794 A003795 * A003797 A003798 A003799

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 22 11:13 EDT 2018. Contains 315270 sequences. (Running on oeis4.)