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Research Article Open access CC BY 4.0

A Study on Sum Formulas of Generalized Hexanacci Numbers: Closed Forms of the Sum Formulas ∑n k=0 xkWk and ∑nk=1 xkW−k

Yüksel Soykan

Asian Research Journal of Mathematics · pp. 93–118 · Published 28 May 2021

10.9734/arjom/2021/v17i330285

Abstract

In this paper, closed forms of the sum formulas ∑n k =0 xkWk and ∑n k=1 xkW-k for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences.

Hexanacci numbers Hexanacci-Lucas numbers sum formulas summing formulas

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