The Shape of the Value Sets of Linear Recurrence Sequences
Vienna University of Technology
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.
Full version: pdf,
Received March 25 2009;
revised version received April 14 2009.
Published in Journal of Integer Sequences, April 27 2009.
Journal of Integer Sequences home page