On the connections between Pell numbers and Fibonacci p-numbers

被引：4
|
作者：
Shannon, Anthony G. [1 ]
Erdag, Ozgur [2 ]
Deveci, Omur [2 ]
机构：
[1] Univ New South Wales, Warrane Coll, Kensington, NSW, Australia
[2] Kafkas Univ, Fac Sci & Letters, Dept Math, TR-36100 Kars, Turkey
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2021年 / 27卷 / 01期
关键词：
Pell sequence; Fibonacci p-sequence; Matrix; Representation; BINET FORMULAS; SUMS;
D O I：
10.7546/nntdm.2021.27.1.148-160
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define the Fibonacci-Pell p-sequence and then we discuss the connection of the Fibonacci-Pell p-sequence with the Pell and Fibonacci p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Fibonacci-Pell p-numbers by the aid of the n-th power of the generating matrix of the Fibonacci-Pell p-sequence. Furthermore, we derive relationships between the Fibonacci-Pell p-numbers and their permanent, determinant and sums of certain matrices.
引用
收藏
页码：148 / 160
页数：13
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