A. Mbirika

activity

20092025

most citedLattice point visibility on generalized lines of sight

19 citations · 31 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.NT2022

GCD of sums of $k$ consecutive squares of generalized Fibonacci numbers

aBa Mbirika, Jürgen Spilker

In 2021, Guyer and Mbirika gave two equivalent formulas that computed the greatest common divisor (GCD) of all sums of $k$ consecutive terms in the generalized Fibonacci sequence $…

math.CO2022

Tridiagonal real symmetric matrices with a connection to Pascal's triangle and the Fibonacci sequence

Emily Gullerud, Rita Johnson, aBa Mbirika

We explore a certain family ${A_{n}}_{n = 1}^{\infty}$ of $n \times n$ tridiagonal real symmetric matrices. After deriving a three-term recurrence relation for the characteristic pol…

GCD of sums of k consecutive squares of generalized Fibonacci numbers

Tridiagonal real symmetric matrices with a connection to Pascal's triangle and the Fibonacci sequence

GCD of sums of $k$ consecutive squares of generalized Fibonacci numbers