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.
Citation
Sergio Falcón Santana. José Luis Díaz-Barrero. "Some Properties of Sums Involving Pell Numbers." Missouri J. Math. Sci. 18 (1) 33 - 40, February 2006. https://doi.org/10.35834/2006/1801033
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