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

页码：148 / 160

页数：13

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