2 papers
math.NT2023
Pell and associated Pell braid sequences as GCDs of sums of consecutive Pell, balancing, and related numbers
aBa Mbirika, Janee Schrader, Jürgen Spilker
We consider the greatest common divisor (GCD) of all sums of consecutive terms of a sequence where the terms come from exactly one of following six well…
math.NT2022
GCD of sums of 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 consecutive terms in the generalized Fibonacci sequence $…