Determinant identities for the Catalan, Motzkin and Schröder numbers
Determinant identities for the Catalan, Motzkin and Schröder numbers
In this paper, we find formulas for the determinants of several Hessenberg matrices whose nonzero entries are derived from the Catalan, Motzkin and Schröder number sequences. By a generalization of Trudi's formula, we obtain equivalent multi-sum identities involving sums of products of terms from these sequences. We supply both algebraic …