A dynamical property unique to the Lucas sequence
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.
math.NT↗
arXiv subjects
Publications and source records attributed to Y. Puri.
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.