Common Values of Generalized Fibonacci and Leonardo Sequences

被引：0

作者：

Tripathy, Bibhu Prasad ^{[1
]}

Patel, Bijan Kumar ^{[1
]}

机构：

[1] KIIT Univ Bhubaneswar, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India

来源：

JOURNAL OF INTEGER SEQUENCES | 2023年 / 26卷 / 06期

关键词：

k-generalized Fibonacci number; Leonardo number; linear form in logarithms; reduction method; K-FIBONACCI;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an integer k > 2, let F (k) n be the k-generalized Fibonacci sequence that starts with 0, ... , 0,1,1 (k terms) and each term afterwards is the sum of k preceding terms. In this paper, we find all the k-generalized Fibonacci numbers that are Leonardo numbers. More explicitly, we solve the Diophantine equation F (k) n = Lem in positive integers n, k, m with k > 2.

引用

页数：14

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