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.
Disclosure
No potential conflict of interest was reported by the authors.