Some identities for generalized Fibonacci and Lucas numbers

被引：1
|
作者：
Szynal-Liana, Anetta [1 ]
Wloch, Iwona [1 ]
Liana, Miroslaw [2 ]
机构：
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
[2] Rzeszow Univ Technol, Fac Management, Al Powstancow Warszawy 10, PL-35959 Rzeszow, Poland
来源：
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS | 2020年 / 17卷 / 01期
关键词：
Fibonacci numbers; Jacobsthal numbers; Recurrence relations;
D O I：
10.1016/j.akcej.2019.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study one parameter generalization of the Fibonacci numbers, Lucas numbers which generalizes the Jacobsthal numbers, Jacobsthal-Lucas numbers simultaneously. We present some their properties and interpretations also in graphs. Presented results generalize well-known results for Fibonacci numbers, Lucas numbers, Jacobsthal numbers and Jacobsthal-Lucas numbers.
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页码：324 / 328
页数：5
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