Outputs (83)

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

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.

Primes in divisibility sequences (2001)
Journal Article
Everest, G., & Ward, T. (2001). Primes in divisibility sequences. Cubo (Temuco. Print), 3(2), 245-259

We give an overview of two important families of divisibility sequences: the Lehmer--Pierce family (which generalise the Mersenne sequence) and the elliptic divisibility sequences. Recent computational work is described, as well as some of the mathem... Read More about Primes in divisibility sequences.

Arithmetic and growth of periodic orbits (2001)
Journal Article
Puri, Y., & Ward, T. (2001). Arithmetic and growth of periodic orbits. Journal of integer sequences, 4, Article 01.2.1