Also
Catarino [15] gives the generating function for k-Pell sequences and another
expression for the general term of the sequence, using the ordinary generating
function. In this paper, we continue the study of k-Pell numbers sequence
considering several identities involving the k-Pell numbers and using a matrix
method for deriving the explicit formula for the term of order n of the k-Pell
numbers sequence and also to get the well-known Cassini’s identity.