On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers
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Date
2021
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info:eu-repo/semantics/openAccess
Abstract
In this paper, we present Binet's formulas, generating functions, and the summation formulas for generalized Hexanacci numbers, and as special cases, we investigate Hexanacci and Hexanacci-Lucas numbers with their properties. Also, we define Gaussian generalized Hexanacci numbers and as special cases, we investigate Gaussian Hexanacci and Gaussian Hexanacci-Lucas numbers with their properties. Moreover, we give some identities for these numbers. Furthermore, we present matrix formulations of generalized Hexanacci numbers and Gaussian generalized Hexanacci numbers.
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Keywords
Gaussian Hexanacci numbers, Gaussian Hexanacci-Lucas number, Hexanacci numbers, Gaussian generalized Hexanacci numbers
Journal or Series
Turkish Journal of Mathematics and Computer Science
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Volume
13
Issue
1