TAIWANESE JOURNAL OF MATHEMATICS, vol.10, no.6, pp.1661-1670, 2006 (SCI-Expanded)
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the generalized order-k Pell numbers.