A note on sum formulas $\sum_{k=0}^{n}kx^{k}W_{k}$ and $\sum_{k=1}^{n}kx^{k}W_{-k}$ of generalized Hexanacci numbers

Author(s):

Yuksel Soykan , Erkan Taşdemir , Tulin Erdoğan Taşdemir

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, closed forms of the sum formulas $ \sum_{k=0}^{n}kx^{k}W_{k} $ and $ \sum_{k=1}^{n} kx^{k}W_{- k} $ for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences.

Keywords:

Hexanacci numbers , Hexanacci-Lucas numbers , sum formulas , summing formula

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
137 to 164
https://www.magiran.com/p2583779