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. Preprints2019, 2019060110. https://doi.org/10.20944/preprints201906.0110.v1
Soykan, Y. On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Preprints 2019, 2019060110. https://doi.org/10.20944/preprints201906.0110.v1
Soykan, Y. On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Preprints2019, 2019060110. https://doi.org/10.20944/preprints201906.0110.v1
APA Style
Soykan, Y. (2019). On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers. Preprints. https://doi.org/10.20944/preprints201906.0110.v1
Chicago/Turabian Style
Soykan, Y. 2019 "On Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers" Preprints. https://doi.org/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.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
