Abstract
In this note we consider the generalized Fibonacci and Lucas sequences given by: \[F_n=2aF_{n-1}+(b-a^2)F_{n-2}, F_0=0, F_1=1\]and \[L_n=2aL_{n-1}+(b-a^2)L_{n-2}, L_0=2, L_1=2a,\]where $a$ and $b$ are nonzero real numbers, and prove some of their properties. Also, we find their corresponding Q and R matrices as in the classical Fibonacci and Lucas sequences.
Citation
Tareq Namarneh. Ala'a Al-Kateeb. "More Properties of Generalized Fibonacci and Lucas numbers." Missouri J. Math. Sci. 35 (2) 129 - 135, November 2023. https://doi.org/10.35834/2023/3502129
Information
