k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits

被引：4

作者：

Rihane, Salah Eddine ^{[1
]}

机构：

[1] Univ Ctr Mila, Dept Math & Comp Sci, BP 26, Mila 43000, Algeria

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期

关键词：

k-Fibonacci numbers; k-Lucas numbers; Repdigits; Linear form in logarithms; Reduction method; SUMS;

D O I：

10.1007/s00025-021-01526-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k >= 2. A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci and k-Lucas sequences, respectively. For these sequences the first k terms are 0, ... , 0,1 and 0, ... , 0, 2, 1, respectively, and each term afterwards is the sum of the preceding k terms. In this manuscript, our main objective is to find all k-Fibonacci and k-Lucas numbers which are product of two repdigits. This generalizes the result from Erduvan and Keskin (Turk J Math 43: 2142-2153, 2019).

引用

页数：20

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