  In this paper, we define k-generalized order-k numbers and we obtain a
relation between i-th sequences and k-th sequences of k-generalized order-k
numbers. We give some determinantal and permanental representations of
k-generalized order-k numbers by using various matrices. Using the relation
between i-th sequences and k-th sequences of k-generalized order-k numbers we
give some determinantal and permanental representations of i-th sequences of
generalized order-k numbers. In addition, we obtain Binet's formula for
generalized order-k Pell numbers by using our representations.
