On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

Year 2021, Volume: 13 Issue: 1, 25 - 43, 30.06.2021

Yüksel Soykan Nejla Özmen

https://doi.org/10.47000/tjmcs.787578

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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