Abstract
A Ducci sequence generated by A = (a1,a2,...,an)? Zn is the sequence
{A,DA,D2A,...} where the Ducci map D : Zn ? Zn is defined by D(A) = D(a1,
a2,...,an) = (|a2-a1|, |a3-a2|,..., |an-an-1|, |an-a1|).
In this study, we examine some properties of the matrices Cn, DCn, D2Cn;
where Cn =Circ(c0,c1,..., cn-1) is a circulant matrix whose entries
consist of Fibonacci numbers.
Publisher
National Library of Serbia
Cited by
2 articles.
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1. THE GRAM AND HANKEL MATRICES VIA SPECIAL NUMBER SEQUENCES;HONAM MATH J;2023
2. On the circulant matrices with Ducci sequence and Gaussian Fibonacci numbers;ADVANCED MATERIALS AND RADIATION PHYSICS (AMRP-2020): 5th National e-Conference on Advanced Materials and Radiation Physics;2021