Some properties of sums involving pell numbers

In this paper the sequences of sums S4n+1 and its square roots are studied and some of its properties are used to obtain an identity involving binomial coefficients and Pell numbers. Furthermore, using the Lucas expression for Pell numbers in terms of binomial coefficients [1], two more identities are given. Finally, the partial sums of the sequence of Pell numbers of odd order are evaluated and some divisibility properties are obtained.