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https://accedacris.ulpgc.es/handle/10553/72698
| Title: | Some properties of sums involving pell numbers |
| Authors: | Falcón Santana, Sergio Díaz-Barrero, José Luis |
| UNESCO Clasification: | 1205 Teoría de números |
| Issue Date: | 2006 |
| Journal: | Missouri Journal of Mathematical Sciences |
| Abstract: | In this note we prove that for all positive integers n, the sum S 4n+1 of the first 4n + 1 Pell numbers is a perfect square. As a consequence, an identity involving binomial coefficients and Pell numbers is given. Also, sums of an even and odd number of terms of odd order are evaluated and some divisibility properties are obtained. |
| URI: | https://accedacris.ulpgc.es/handle/10553/72698 |
| ISSN: | 0899-6180 |
| Source: | Missouri Journal of Mathematical Sciences [ISSN 0899-6180], v. 18 (1), p. 33-40 (Diciembre 2006) |
| Appears in Collections: | Articles |
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