t-cobalancing numbers and t-cobalancers

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Copy For Citation

TEKCAN A., Erdem A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.26, no.1, pp.45-58, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 26 Issue: 1
• Publication Date: 2020
• Doi Number: 10.7546/nntdm.2020.26.1.45-58
• Journal Name: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.45-58
• Bursa Uludag University Affiliated: Yes

Abstract

In this work, we determine the general terms of t-cobalancers, t-cobalancing numbers and Lucas t-cobalancing numbers by solving the Pell equation 2x(2) - y(2) = 2t(2) - 1 for some fixed integer t >= 1.