Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers

Version 1 : Received: 11 June 2019 / Approved: 13 June 2019 / Online: 13 June 2019 (06:22:28 CEST)

How to cite: Soykan, Y. On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Preprints 2019, 2019060110 (doi: 10.20944/preprints201906.0110.v1). Soykan, Y. On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Preprints 2019, 2019060110 (doi: 10.20944/preprints201906.0110.v1).

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 Pentanacci-Lucas 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.

Keywords

Pentanacci numbers; Gaussian generalized Pentanacci numbers; Gaussian Pentanacci numbers; Gaussian Pentanacci-Lucas numbers

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.