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.
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页数：12
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