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A241575
Sturmian expansion of 1/2 in base sqrt(2)-1.
1
0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0
OFFSET
0
COMMENTS
(a(n)) is an inhomogeneous Sturmian word with the same slope as A159684; the languages of the two infinite words are therefore the same. - Michel Dekking, Jun 06 2017
(a(n)) is the fixed point of the morphism 0 -> 01010, 1 -> 0101010. - Michel Dekking, Feb 02 2019
LINKS
E. Arthur Robinson, Jr., Sturmian expansions and entropy, INTEGERS, Vol. 11B (2011), #A13.
FORMULA
a(n) = floor((n+1)*r + t) - floor(n*r + t), where r = sqrt(2)-1, t = 1/2. - Michel Dekking, Jun 06 2017
EXAMPLE
1/2 = .010100101010010100101010010100101001010100101001010100...
CROSSREFS
Similar to, but different from, A159684.
Sequence in context: A159684 A244221 A253050 * A285684 A163538 A267188
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 26 2014
EXTENSIONS
More terms from Michel Dekking, Jun 06 2017
Some terms in data corrected by Andrew Howroyd, Feb 22 2018
STATUS
approved