%I
%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
