Özmen, NejlaSoykan, Yüksel2023-07-262023-07-2620212148-1830http://doi.org/10.47000/tjmcs.787578https://search.trdizin.gov.tr/yayin/detay/493793https://hdl.handle.net/20.500.12684/13609In 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.en10.47000/tjmcs.787578info:eu-repo/semantics/openAccessGaussian Hexanacci numbersGaussian Hexanacci-Lucas numberHexanacci numbersGaussian generalized Hexanacci numbersArticle1312543493793