On the Third-Order Jacobsthal and Third-Order Jacobsthal-Lucas Sequences and Their Matrix Representations

被引：5

作者：

Cerda-Morales, Gamaliel ^{[1
]}

机构：

[1] Pontificia Univ Catolica Valparaiso, Inst Matemat, Blanco Viel 596, Valparaiso, Chile

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 02期

关键词：

Generalized Fibonacci number; third-order Jacobsthal number; third-order Jacobsthal-Lucas number; matrix representation; matrix methods; generalized Jacobsthal number; IDENTITIES;

D O I：

10.1007/s00009-019-1319-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first give new generalizations for third-order Jacobsthal {Jn(3)}nN and third-order Jacobsthal-Lucas {jn(3)}nN sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of {Jn(3)}nN and {jn(3)}nN. Then, we investigate their properties.

引用

页数：12

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