A Study on Sum Formulas of Generalized Tetranacci Numbers: Closed Forms of the Sum Formulas \(\sum_{k=0}^{n}kW_{k}\) and \(\sum_{k=1}^{n}kW_{-k}\)
Y¨ uksel Soykan, Y¨üksel Soykan
Asian Journal of Advanced Research and Reports · pp. 68–85 · Published 17 Feb 2021
10.9734/ajarr/2021/v15i130359Abstract
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.
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