A Study on Generalized Tetranacci Numbers: Closed Form Formulas ∑n k=0 xkWk2 of Sums of the Squares of Terms

Soykan, Y¨uksel (2020) A Study on Generalized Tetranacci Numbers: Closed Form Formulas ∑n k=0 xkWk2 of Sums of the Squares of Terms. Asian Research Journal of Mathematics, 16 (10). pp. 109-136. ISSN 2456-477X

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Abstract

In this paper, closed forms of the sum formulas ∑n k=0 xkWk2 for the squares of generalized Tetranacci numbers are presented. We also present the sum formulas ∑n k=0 xkWk+1Wk; ∑n k=0 xkWk+2Wk; and ∑n k=0 xkWk+3Wk: As special cases, we give summation formulas of the of Tetranacci, Tetranacci-Lucas and some other fourth order linear recurrance sequences.

Item Type: Article
Subjects: STM Digital > Mathematical Science
Depositing User: Unnamed user with email support@stmdigital.org
Date Deposited: 28 Feb 2023 12:41
Last Modified: 17 Jul 2024 10:26
URI: http://research.asianarticleeprint.com/id/eprint/285

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