- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 5 | Download : 4
Publication Date : 2021-06-30
Article Type : Research
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