Balances in the Set of Arithmetic Progressions

被引：0

作者：

Chung, Chan-Liang ^{[1
]}

Zhong, Chunmei ^{[1
]}

Zhou, Kanglun ^{[1
]}

机构：

[1] Fuzhou Univ, Sch Math & Stat, 2 North Rd Wulongjiang, Fuzhou 350108, Peoples R China

来源：

AXIOMS | 2021年 / 10卷 / 04期

关键词：

balancing numbers; sequence balancing numbers; (a; b)-type balancing numbers; Pell equation;

D O I：

10.3390/axioms10040350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article focuses on searching and classifying balancing numbers in a set of arithmetic progressions. The sufficient and necessary conditions for the existence of balancing numbers are presented. Moreover, explicit formulae of balancing numbers and various relations are included.

引用

页数：9

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