Ratio Balancing Numbers

被引：1

作者：

Bartz, Jeremiah ^{[1
]}

Dearden, Bruce ^{[1
]}

Iiams, Joel ^{[1
]}

Metzger, Jerry ^{[1
]}

机构：

[1] Univ North Dakota, Grand Forks, ND 58202 USA

来源：

COMBINATORICS, GRAPH THEORY AND COMPUTING, SEICCGTC 2020 | 2022年 / 388卷

关键词：

Balancing numbers; Triangular numbers; Recurrence relations;

D O I：

10.1007/978-3-031-05375-7_1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Balancing numbers were introduced by Behera and Panda while investigating when the sum of two triangular numbers is a triangular number. We introduce a variation called ratio balancing numbers which generalizes the sums considered and involves an integral ratio condition. Often ratio balancing numbers retain the familiar properties of balancing numbers. However, a distinct feature of ratio balancing numbers is that they exist in finite numbers for certain choices of parameters. Computational evidence leads us to conjecture that for any integer d, there are choices of parameters which yield finitely many, but at least d, ratio balancing numbers.

引用

页码：1 / 12

页数：12