A dynamical property unique to the Lucas sequence

1999/07/02 by Y. Puri, T. Ward
Mathematics · #math.NT #math.DS #msc:11B39 #msc:58F20

paper · pdf

published as Fibonnaci Quarterly, 39.5, November 2001, 398-402 · 9 pages

arxiv created 1999/07/02 · arxiv updated 2009/11/30

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.

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