Version 1
: Received: 26 May 2020 / Approved: 27 May 2020 / Online: 27 May 2020 (12:28:48 CEST)
How to cite:
Soykan, Y. On Generalized Tetranacci Numbers: Closed Form Formulas of the Sum $\sum_{k=0}^{n}W_{k}^{2}$ of the Squares of Terms. Preprints2020, 2020050453. https://doi.org/10.20944/preprints202005.0453.v1
Soykan, Y. On Generalized Tetranacci Numbers: Closed Form Formulas of the Sum $\sum_{k=0}^{n}W_{k}^{2}$ of the Squares of Terms. Preprints 2020, 2020050453. https://doi.org/10.20944/preprints202005.0453.v1
Soykan, Y. On Generalized Tetranacci Numbers: Closed Form Formulas of the Sum $\sum_{k=0}^{n}W_{k}^{2}$ of the Squares of Terms. Preprints2020, 2020050453. https://doi.org/10.20944/preprints202005.0453.v1
APA Style
Soykan, Y. (2020). On Generalized Tetranacci Numbers: Closed Form Formulas of the Sum $\sum_{k=0}^{n}W_{k}^{2}$ of the Squares of Terms. Preprints. https://doi.org/10.20944/preprints202005.0453.v1
Chicago/Turabian Style
Soykan, Y. 2020 "On Generalized Tetranacci Numbers: Closed Form Formulas of the Sum $\sum_{k=0}^{n}W_{k}^{2}$ of the Squares of Terms" Preprints. https://doi.org/10.20944/preprints202005.0453.v1
Abstract
In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}W_{k}^{2}$ \ for the squares of generalized Tetranacci numbers are presented. We also present the sum formulas $\sum_{k=0}^{n}W_{k+1}W_{k},$ $\sum_{k=0}^{n}W_{k+2}W_{k},$ and $\sum_{k=0}^{n}W_{k+3}W_{k}.$ As special cases, we give summation formulas of the of Tetranacci, Tetranacci-Lucas and some other fourth order linear recurrance sequences.
Keywords
11B39; 11B83
Subject
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.
