The Sequence of Binary Digits of the Thue Constant, (Sloane's A014578).
See also Rabbit Constant, Thue Constant
References
Guy, R. K. ``Thue Sequences.'' §E21 in Unsolved Problems in Number Theory, 2nd ed.
New York: Springer-Verlag, pp. 223-224, 1994.
Sloane, N. J. A. Sequence
A014578
in ``The On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html.