2 papers
math.NT2025
Weighted sums of Lucas numbers of the first and second kind
aBa Mbirika
In the \textit{Fibonacci Quarterly} in 1964, C.~R.~Wall gave the following weighted sum of generalized Fibonacci numbers: , where $\…
math.NT2024
Period patterns, entry points, and orders in the Lucas sequences: theory and applications
Morgan Fiebig, aBa Mbirika, Jürgen Spilker
The goal of this paper is twofold: (1) extend theory on certain statistics in the Fibonacci and Lucas sequences modulo to the Lucas sequences $U := \left(U_n(p,q)\right)_{n \ge…