The shape of the value sets of linear recurrence sequences
Journal of integer sequences, Tome 12 (2009) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that the closure of the value set of a real linear recurrence sequence is the union of a countable set and a finite collection of intervals. Conversely, any finite collection of closed intervals is the closure of the value set of some recurrence sequence.
Classification : 11B37, 11J71
Keywords: linear recurrence sequence, value set, Kronecker's approximation theorem
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     author = {Gerhold, Stefan},
     title = {The shape of the value sets of linear recurrence sequences},
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     language = {en},
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Gerhold, Stefan. The shape of the value sets of linear recurrence sequences. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a6/