On k-Fibonacci and k-Lucas numbers written as a product of two Pell numbers

被引：0

作者：

Rihane, Salah Eddine ^{[1
]}

机构：

[1] Natl Higher Sch Math, POB 75, Mahelma 16093, Algeria

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2024年 / 30卷 / 01期

关键词：

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

D O I：

10.1007/s40590-024-00593-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 2. A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci and k-Lucas sequences. For these sequences, the first k terms are0,...,0,1 and 0,...,0,2,1, respectively, and each term afterwards is the sum of the preceding k terms. The principal objective of this manuscript is to identify all instances of k-Fibonacci and k-Lucas numbers that can be expressed as the product of two Pell numbers. This generalizes the result from Ref. Ddamulira et al.(Fibonacci Q 54: 11-18, 2016).

引用

页数：25

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