ON r-JACOBSTHAL AND r-JACOBSTHAL-LUCAS NUMBERS

被引：0
|
作者：
Bilgici, Goksal [1 ]
Brod, Dorota [2 ]
机构：
[1] Kastamonu Univ, Elementary Math Educ, TR-37200 Kastamonu, Turkiye
[2] Rzeszow Univ Technol, Fac Math & Appl Phys, Dept Discrete Math, Rzeszow, Poland
来源：
ANNALES MATHEMATICAE SILESIANAE | 2023年 / 37卷 / 01期
关键词：
r-Jacobsthal numbers; r-Jacobsthal-Lucas numbers; Binet formula;
D O I：
10.2478/amsil-2023-0001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Br & oacute;d introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal-Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences. For simpler results, we define two new sequences and examine their properties, too. Finally, we generalize some well-known identities.
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页码：16 / 31
页数：16
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