Generalized Balancing and Balancing-Lucas numbers
Hasan Al-Zoubi, Ala'a Al-Kateeb
TL;DR
This paper introduces a generalized form of Balancing and Balancing-Lucas numbers, exploring their properties, matrix representations, and divisibility aspects to expand understanding of these number sequences.
Contribution
It presents a new generalized framework for Balancing and Balancing-Lucas numbers, including their properties and mathematical representations.
Findings
Derived properties of the generalized numbers
Established matrix representations
Analyzed divisibility properties
Abstract
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Statistical Mechanics and Entropy