On a sequence derived from the Laplace transform of the characteristic polynomial of the Fibonacci sequence

被引：0
|
作者：
da Fonseca, Carlos M. [1 ,2 ]
Shannon, Anthony G. [3 ]
机构：
[1] Kuwait Coll Sci & Technol, Safat 13133, Kuwait
[2] Univ Deusto, Chair Computat Math, Bilbao 48007, Spain
[3] Univ New South Wales, Warrane Coll, Sydney, NSW 2033, Australia
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2023年 / 29卷 / 03期
关键词：
Fibonacci sequence; Recurrence; Chebyshev polynomials of the second kind; Determinant; Tridiagonal matrices; CHEBYSHEV;
D O I：
10.7546/nntdm.2023.29.3.557-563
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, based on the Laplace transform of the characteristic polynomial of the Fibonacci sequence, Deveci and Shannon established a new sequence and analysed some of its properties. They disclosed in particular the odd terms. In this short note, we provide a matricial representation for this sequence as well as one in terms of the Chebyshev polynomials of the second kind. The subsequence of the even terms is also disclosed.
引用
收藏
页码：557 / 563
页数：7
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