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On k-balancing numbers

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Özkoç, Arzu
Tekcan, Ahmet

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Bulgarian Acad Science

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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.

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Balancing number, Pell number, Binary linear recurrences, Science & technology, Physical sciences, Mathematics

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