On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:1
On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

Authors : Yüksel SOYKAN, Nejla ÖZMEN

Pages : 25-43

Doi:10.47000/tjmcs.787578

View : 45 | Download : 6

Publication Date : 2021-06-30

Article Type : Research Paper

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.
Keywords : Hexanacci numbers, Gaussian generalized Hexanacci numbers, Gaussian Hexanacci numbers, Gaussian Hexanacci Lucas number

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