Open AccessA Study on Sum Formulas of Generalized Hexanacci Numbers: Closed Forms of the Sum Formulas ∑n k=0 xkWk and ∑nk=1 xkW−k
Author(s) -
Yüksel Soykan
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i330285
Subject(s) - mathematics , order (exchange) , combinatorics , sums of powers , recurrence relation , pure mathematics , economics , finance
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.