A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices
Keywords:LU-decomposition, Inverse matrix, Zeilberger's algorithm
AbstractIn this paper, we present a number of combinatorial matrices that are generalizations or variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit formulæ for LU-decompositions of all the matrices and their inverses. To prove the claimed results, we mainly use the celebrated Zeilberger algorithm.
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