Daniel E. Guyer

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20192022

k

consecutive Fibonacci, Lucas, and generalized Fibonacci numbers

2 citations · 2 across the 3 of their papers we have counts for

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math.NT2021

Tantalizing properties of subsequences of the Fibonacci sequence modulo 10

Dan Guyer, aBa Mbirika, Miko Scott

The Fibonacci sequence modulo $m$ , which we denote $(F_{m, n})_{n = 0}^{\infty}$ where $F_{m, n}$ is the Fibonacci number $F_{n}$ modulo $m$ , has been a well…

math.NT2021★ 2 cited

GCD of sums of $k$ consecutive Fibonacci, Lucas, and generalized Fibonacci numbers

Dan Guyer, aBa Mbirika

We explore the sums of $k$ consecutive terms in the generalized Fibonacci sequence $(G_{n})_{n \geq 0}$ given by the recurrence $G_{n} = G_{n - 1} + G_{n - 2}$ for all $n \geq 2…

Tantalizing properties of subsequences of the Fibonacci sequence modulo 10

GCD of sums of k consecutive Fibonacci, Lucas, and generalized Fibonacci numbers

GCD of sums of $k$ consecutive Fibonacci, Lucas, and generalized Fibonacci numbers