The Shape of the Value Sets of Linear Recurrence Sequences

Details The Shape of the Value Sets of Linear Recurrence Sequences The Shape of the Value Sets of Linear Recurrence Sequences

2009-03-24

arxiv.org/abs/0903.4043v1

Mathematics

Number Theory

Scientific paper

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.

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