Jhon J. Bravo

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20122025

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math.NT2025

On Pell numbers representable as product of two generalized Fibonacci numbers

Jhon J. Bravo, Pranabesh Das, Jose L. Herrera +1

A generalization of the well-known Fibonacci sequence is the $k$ -Fibonacci sequence with some fixed integer $k \geq 2$ . The first $k$ terms of this sequence are $0, 0, \dots, 1$ , and…

math.NT2020

Repdigits in Narayana's Cows Sequence and their Consequences

Jhon J. Bravo, Pranabesh Das, Sergio Guzmán

Narayana's cows sequence satisfies the third-order linear recurrence relation $N_{n} = N_{n - 1} + N_{n - 3}$ for $n \geq 3$ with initial conditions $N_{0} = 0$ and $N_{1} = N_{2} = 1$ . In this paper, w…

math.NT2012

On the largest prime factor of the $k -$ Fibonacci numbers

Jhon J. Bravo, Florian Luca

Let $P (m)$ denote the largest prime factor of an integer $m \geq 2$ , and put $P (0) = P (1) = 1$ . For an integer $k \geq 2$ , let $(F_{n}^{(k)})_{n \geq 2 - k}$ be the $k -$ generalized Fibonacc…

On Pell numbers representable as product of two generalized Fibonacci numbers

Repdigits in Narayana's Cows Sequence and their Consequences

On the largest prime factor of the k−Fibonacci numbers

On the largest prime factor of the $k -$ Fibonacci numbers