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A083655 Numbers which do not appear prematurely in the binary Champernowne word (A030190). 4


%S 0,1,2,4,8,10,16,32,36,64,128,136,256,512,528,1024,2048,2080,4096,

%T 8192,8256,16384,32768,32896,65536,131072,131328,262144,524288,524800,

%U 1048576,2097152,2098176,4194304,8388608,8390656,16777216,33554432

%N Numbers which do not appear prematurely in the binary Champernowne word (A030190).

%C In other words, numbers k whose binary expansion first appears in A030190 at its expected place, i.e., n appears first starting at position A296349(n). - _N. J. A. Sloane_, Dec 17 2017

%C A083653(a(n))=a(n), A083654(a(n))=1; A000079 is a subsequence.

%C a(n) are the Base 2 "Punctual Bird" numbers: write the nonnegative integers, base 2, in a string 011011100101110111.... Sequence gives numbers which do not occur in the string ahead of their natural place. - _Graeme McRae_, Aug 11 2007

%H Graeme McRae, Aug 11 2007, <a href="/A083655/b083655.txt">Table of n, a(n) for n = 0..113</a>

%F a(0)=0, a(1)=1, a(2)=2; then for n>=1, a(3n)=2^(2n), a(3n+1)=2^(2n+1), a(3n+2)=2^(2n+1)+2^n - _Graeme McRae_, Aug 11 2007

%Y Cf. A030190, A030304, A007088, A131881, A132131.

%Y For the complement, the "Early Bird" numbers, see A296365.

%K nonn,base

%O 0,3

%A _Reinhard Zumkeller_, May 01 2003

%E More terms from _Graeme McRae_, Aug 11 2007

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Last modified December 13 08:08 EST 2019. Contains 329968 sequences. (Running on oeis4.)