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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

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Last modified June 19 13:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)