

A083655


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


4



0, 1, 2, 4, 8, 10, 16, 32, 36, 64, 128, 136, 256, 512, 528, 1024, 2048, 2080, 4096, 8192, 8256, 16384, 32768, 32896, 65536, 131072, 131328, 262144, 524288, 524800, 1048576, 2097152, 2098176, 4194304, 8388608, 8390656, 16777216, 33554432
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,3


COMMENTS

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


LINKS

Graeme McRae, Aug 11 2007, Table of n, a(n) for n = 0..113


FORMULA

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


CROSSREFS

Cf. A030190, A030304, A007088, A131881, A132131.
For the complement, the "Early Bird" numbers, see A296365.
Sequence in context: A045795 A226816 A291165 * A271816 A097210 A097214
Adjacent sequences: A083652 A083653 A083654 * A083656 A083657 A083658


KEYWORD

nonn,base


AUTHOR

Reinhard Zumkeller, May 01 2003


EXTENSIONS

More terms from Graeme McRae, Aug 11 2007


STATUS

approved



