Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Divisibility properties of some fibonacci-type sequences
- A. F. Horadam, R. P. Loh, A. Shannon
- Mathematics
- 1979
A generalized Fibonacci-type sequence is defined from a fourth order homogeneous linear recurrence relation, and various divisibility properties are developed. In particular, the notion of a proper… Expand
Generalized Fibonacci and Lucas Factorizations
- A. Shannon, R. P. Loh, A. F. Horadam
- Mathematics
- 1991
Brillhart, Montgomery and Silverman [2] have developed tables of Fibonacci and Lucas factorizations. In doing so they have used primitive parts of these numbers. These are analogous to the proper… Expand
A Search for Solutions of a Functional Equation
- A. Shannon, R. P. Loh, R. Melham, A. F. Horadam
- Mathematics
- 1996
Nash [4] used recursive sequences like the Fibonacci numbers, {Fn}, to investigate factors and divisibility. The Fibonacci numbers are defined by
$$ \begin{array}{*{20}{c}} {{F_n} = {F_{n - 1}} +… Expand