Title of article :
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/Authors :
Soykan ، Yuksel Department of Mathematics - Art and Science Faculty - Zonguldak Bulent Ecevit University , Taşdemir ، Erkan Pinarhisar Vocational School - Kirklareli University , Taşdemir ، Tulin Erdoğan Pinarhisar Anatolian High School - Ministry of National Education
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 formulas
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
