On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers
Asian Research Journal of Mathematics · pp. 102–121 · Published 10 Sep 2020
10.9734/arjom/2020/v16i930224Abstract
In this paper, we present Binet’s formulas, generating functions, and the summation formulas for generalized Pentanacci numbers, and as special cases, we investigate Pentanacci and PentanacciLucas numbers with their properties. Also, we define Gaussian generalized Pentanacci numbers and as special cases, we investigate Gaussian Pentanacci and Gaussian Pentanacci-Lucas numbers with their properties. Moreover, we give some identities for these numbers. Furthermore, we present matrix formulations of generalized Pentanacci numbers and Gaussian generalized Pentanacci numbers.
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