Turkish Journal of Mathematics and Computer Science
Yazarlar: Yüksel SOYKAN, Nejla ÖZMEN
Konular:Matematik
DOI:10.47000/tjmcs.787578
Anahtar Kelimeler:Hexanacci numbers,Gaussian generalized Hexanacci numbers,Gaussian Hexanacci numbers,Gaussian Hexanacci-Lucas number
Özet: 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.