J. M. Brunat

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20052022

most citedShaping Communities out of Triangles

3 citations · 3 across the 9 of their papers we have counts for

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math.NT2022

Periodicity of power Fibonacci sequences modulus a Fibonacci number

Josep M. Brunat, Joan-C. Lario

Let $F = (F_{i} : i \geq 0)$ be the sequence of Fibonacci numbers, and $j$ and $e$ be non negative integers. We study the periodicity of the power Fibonacci sequences ${\mathcal…

math.NT2021

A problem on concatenated integers

Josep M. Brunat, Joan-Carles Lario

Motivated by a WhattsApp message, we find out the integers $x > y \geq 1$ such that $(x + 1) / (y + 1) = (x \circ (y + 1)) / (y \circ (x + 1))$ , where $\circ$ means the concatenation of the strings of…