The Shape of the Value Sets of Linear Recurrence Sequences
classification
🧮 math.NT
keywords
recurrencevalueclosurecollectionfiniteintervalslinearsequence
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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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