On Certain Fourth-Order Linear Recursive Sequences

被引：0

作者：

Karadeniz-Gozeri, Guel ^{[1
]}

Sari, Selin ^{[2
]}

Akgul, Pinar ^{[1
]}

机构：

[1] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkiye

[2] Istanbul Univ, Inst Grad Studies Sci, Dept Math, TR-34134 Istanbul, Turkiye

来源：

SYMMETRY-BASEL | 2025年 / 17卷 / 01期

关键词：

subbalancing numbers; Diophantine equation; recurrence relation; Binet formula; COBALANCING NUMBERS;

D O I：

10.3390/sym17010041

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce a fourth-order linear recursive sequence that is related to the concept of subbalancing numbers. This sequence is constructed by using the third balancing number in the Diophantine equation of subbalancing numbers and is called the sequence of B3-Lucas subbalancing numbers. Motivated by the results for b3-Lucas subbalancing numbers, we obtain several algebraic identities regarding B3-Lucas subbalancing numbers. Furthermore, we derive some algebraic relations between B3-Lucas subbalancing numbers and some other integer sequences.

引用

页数：14

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