A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$

Autor: Yüksel Soykan, Erkan Taşdemir, Can Murat Dikmen
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Innovative Applied Mathematics and Computational Sciences, Vol 1, Iss 1 (2021)
Druh dokumentu: article
ISSN: 2773-4196
Popis: In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers are presented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.
Databáze: Directory of Open Access Journals