A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2021-12-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/7 |