Almost balancing, triangular and square triangular numbers

Ahmet Tekcan
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 1, Pages 108–121
DOI: 10.7546/nntdm.2019.25.1.108-121
Full paper (PDF, 247 Kb)

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Authors and affiliations

Ahmet Tekcan
Bursa Uludag University, Faculty of Science
Department of Mathematics, Bursa, Turkey

Abstract

In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.

Keywords

• Balancing numbers
• Almost balancing numbers
• Triangular numbers
• Square triangular numbers

2010 Mathematics Subject Classification

• 11B37
• 11B39

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