Almost neo cobalancing numbers

Ahmet Tekcan and Ecem Akgüç
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 31, 2025, Number 1, Pages 113–126
DOI: 10.7546/nntdm.2025.31.1.113-126
Full paper (PDF, 232 Kb)

Details

Authors and affiliations

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

Ecem Akgüç
Department of Mathematics, Faculty of Science, Bursa Uludag University, Bursa, Türkiye

Abstract

In this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell, Pell–Lucas, triangular and square triangular numbers. Further we formulate the sum of first terms of these numbers.

Keywords

• Balancing numbers
• Cobalancing numbers
• Neo cobalancing numbers
• Pell equations
• Triangular numbers
• Square triangular numbers
• Set of representations
• Pell numbers

2020 Mathematics Subject Classification

• 11B37
• 11B39
• 11D09
• 11D79

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Manuscript history

• Received: 24 June 2024
• Revised: 9 April 2025
• Accepted: 12 April 2025
• Online First: 14 April 2025

Copyright information

Ⓒ 2025 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).