On k-balancing numbers

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Ozkoc A., TEKCAN A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.23, sa.3, ss.38-52, 2017 (ESCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 23 Sayı: 3
• Basım Tarihi: 2017
• Doi Numarası: 10.1136/injuryprev-2017-042498
• Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.38-52
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, we consider some algebraic properties of k-balancing numbers. We deduce some formulas for the greatest common divisor of k-balancing numbers, divisibility properties of k-balancing numbers, sums of k-balancing numbers and simple continued fraction expansion of k-balancing numbers.