Balances in the Set of Arithmetic Progressions-Reference-Cited by-同舟云学术

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Balances in the Set of Arithmetic Progressions

Published:2021-12-20 Issue:4 Volume:10 Page:350
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Chung Chan-Liang^ORCID,Zhong Chunmei,Zhou Kanglun

Abstract

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.

Funder

Fuzhou University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/10/4/350/pdf

Reference6 articles.

1. On the square roots of triangular numbers;Behera;Fibonacci Q.,1999

2. Sequence balancing and cobalancing numbers;Panda;Fibonacci Q.,2007

3. On (a,b)-balancing numbers;Kovács;Publ. Math. Debr.,2010

4. Almost square triangular numbers;Subramaniam;Fibonacci Q.,1999

5. Simple groups of square order and interesting sequence of primes

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