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.

引用

页码：324 / 328

页数：5

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