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The Shape of the Value Sets of Linear Recurrence Sequences

By Stefan Gerhold

Abstract

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.

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.188.7856
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