A dynamical property unique to the Lucas sequence

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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.
9 pages

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Number Theory, Dynamical Systems, 11B39, 58F20

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http://salesiana.dossiersoluciones.com/handle/123456789/78768

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907015
 http://arxiv.org/abs/math/9907015
 Fibonnaci Quarterly, 39.5, November 2001, 398-402

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arXiv