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Research Article Open access CC BY 4.0

On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers

Yüksel Soykan

Asian Research Journal of Mathematics · pp. 102–121 · Published 10 Sep 2020

10.9734/arjom/2020/v16i930224

Abstract

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.

Pentanacci numbers Pentanacci-Lucas numbers Gaussian Pentanacci numbers Gaussian Pentanacci-Lucas numbers.

References (1)

  1. 1 On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers [DOI]

Cited by 11

Sum Formulas of Generalized Pentanacci Numbers : Closed Forms of the Sum Formulas ∑ n k = 0 kW k and ∑ n k = 1 kW − k

Y. Soykan · 2021

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