Abstract
Let s be arbitrary integer, we introduce the notion of the matrix of type s, whose nonzero entries are the classical Horadam numbers . In this paper we consider singular case , then the Moore–Penrose inverse of the matrix is given. In the case , we obtain the Pseudoinverse of the generalized Fibonacci matrix . In addition, correlations between the matrix and the generalized Pascal matrices are discussed, and some combinatorial identities involving the Horadam numbers are derived.
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