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A dynamical property unique to the Lucas sequence

Puri, Y.; Ward, T.

Authors

Y. Puri

T. Ward



Abstract

The only recurrence sequence satisfying the Fibonacci recurrence and realizable as the number of periodic points of a map is (a multiple of) the Lucas sequence.

Citation

Puri, Y., & Ward, T. (2001). A dynamical property unique to the Lucas sequence. The Fibonacci quarterly, 39(5), 398-402

Journal Article Type Article
Publication Date Jan 1, 2001
Deposit Date Oct 12, 2012
Journal The Fibonacci quarterly : the official journal of the Fibonacci Association.
Print ISSN 0015-0517
Publisher Fibonacci Association
Peer Reviewed Peer Reviewed
Volume 39
Issue 5
Pages 398-402
Publisher URL http://www.fq.math.ca/39-5.html