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A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
ISSN: 2773 - 4196
Publisher: author
A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 3
Article Operation Score: 3
Article Articles Score: 2
Article Accessibility Score: 2
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International Category Code (ICC):
ICC-1102
Publisher: Mohamed Salah Abdelouahab
International Journal Address (IAA):
IAA.ZONE/2773123544196
eISSN
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2773 - 4196
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ISSN Validator
Abstract
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.
