2020/08/21 by Eric F. Bravo, Jhon J. Bravo, Bravo, Eric F. +3
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #math.NT
paper · pdf · doi:10.48550/arxiv.2008.09698
openalex publication_date 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A generalization of the well--known Fibonacci sequence is the k--Fibonacci sequence with some fixed integer k≥ 2. The first k terms of this sequence are 0,…,0,1, and each term afterwards is the sum of the preceding k terms. In this paper, we find all k--Fibonacci numbers that are concatenations of two repdigits. This generalizes prior results which dealt with the above problem for the particular cases of Fibonacci and Tribonacci numbers.