OFFSET
1,1
COMMENTS
From Michel Dekking, Mar 09 2019: (Start)
This homogeneous Sturmian sequence, with the first entry removed, is fixed point of the morphism on {2,3} given by
2 -> 32332332332332
3 -> 32332332332332323.
This follows since sqrt(7)-2 has a periodic continued fraction expansion with period [1,1,1,4], see, e.g., Corollary 9.1.6 in Allouche and Shallit. (End)
REFERENCES
J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 286.
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..10000
FORMULA
a(n) = floor(n*r) - floor(n*r - r), where r = sqrt(7), n >= 1.
MATHEMATICA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Sep 24 2016
STATUS
approved