The Reciprocal Pascal Matrix

Published 24 May 2014 in math.CO and math.NT | (1405.6315v1)

Abstract: The reciprocal Pascal matrix is the Hadamard inverse of the symmetric Pascal matrix. We show that the ordinary matrix inverse of the reciprocal Pascal matrix has integer elements. The proof uses two factorizations of the matrix of super Catalan numbers.

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Thomas M. Richardson

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