A Study on Sum Formulas of Generalized Tetranacci Numbers: Closed Forms of the Sum Formulas \(\sum_{k=0}^{n}kW_{k}\) and \(\sum_{k=1}^{n}kW_{-k}\)

Main Article Content

Y¨ uksel Soykan

Abstract

In this paper, closed forms of the sum formulas \(\sum_{k=0}^{n}kW_{k}\) and \(\sum_{k=1}^{n}kW_{-k}\) for generalized Tetranacci numbers are presented. As special cases, we give summation formulas of Tetranacci, Tetranacci-Lucas, and other fourth-order recurrence sequences.

Keywords:
Tetranacci numbers, Tetranacci-Lucas numbers, fourth order Pell numbers, sum formulas, summing formulas.

Article Details

How to Cite
Soykan, Y. uksel. (2021). A Study on Sum Formulas of Generalized Tetranacci Numbers: Closed Forms of the Sum Formulas \(\sum_{k=0}^{n}kW_{k}\) and \(\sum_{k=1}^{n}kW_{-k}\). Asian Journal of Advanced Research and Reports, 15(1), 68-85. https://doi.org/10.9734/ajarr/2021/v15i130359
Section
Original Research Article

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