On k-generalized Lucas sequence with its triangle

被引：0

作者：

Acikel, Abdullah ^{[1
]}

Amrouche, Said ^{[2
]}

Belbachir, Hacene ^{[2
,3
]}

Irmak, Nurettin ^{[4
]}

机构：

[1] Hatay Mustafa Kemal Univ, Hassa Vocat Sch, Antakya, Turkiye

[2] USTHB, Fac Math, RECITS Lab, POB 32, El Alia, Bab Ezzouar Alg, Algeria

[3] Sci & Tech Informat Res Ctr, Algiers, Algeria

[4] Konya Tech Univ, Engn & Nat Sci Fac, Dept Engn Basic Sci, Konya, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 04期

关键词：

k- generalized Lucas sequence; arithmetic triangle; recurrence relation; bi s nomial coefficient;

D O I：

10.55730/1300-0098.3416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.

引用

页码：1129 / 1143

页数：16

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