

A083655


Numbers which match in binary Champernowne word (A030190) not before their own bit pattern.


3



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
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OFFSET

0,3


COMMENTS

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. A030304, A007088.
Cf. A131881, A132131.
Sequence in context: A272062 A045795 A226816 * A271816 A097210 A097214
Adjacent sequences: A083652 A083653 A083654 * A083656 A083657 A083658


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, May 01 2003


EXTENSIONS

More terms from Graeme McRae, Aug 11 2007


STATUS

approved



