On (k, p)-Fibonacci numbers and matrices

被引：0

作者：

Karakaya, Sinan ^{[1
]}

Ozdemir, Halim ^{[1
]}

Demirkol, Tugba ^{[1
]}

机构：

[1] Univ Sakarya, Dept Math, TR-54187 Serdivan, Sakarya, Turkiye

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 04期

关键词：

Generalized Fibonacci numbers; (k; p)-Fibonacci numbers; Matrices; GENERALIZED FIBONACCI; IDENTITIES; SEQUENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some relations between the powers of any matrices X satisfying the equation X-k - pX(k-1 )- (p - 1)X - I = 0 and ( k, p )-Fibonacci numbers are established with k > 2 . First, a result is obtained to find the powers of the matrices satisfying the condition above via ( k, p )-Fibonacci numbers. Then, new properties related to ( k, p )-Fibonacci numbers are given. Moreover, some relations between the sequence {F-3,F-s(n)} and the generalized Fibonacci sequence {U-n(p, q)} are also examined.

引用

页码：735 / 744

页数：10

共 15 条

[1] The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach [J].