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We show that the family of arrays $T(\\mathbf{\\mu})$ is invariant under a 48-element discrete group isomorphic to $S_3 \\times D_4$. Our main result is to determine all parameter sets $\\mathbf{\\mu} \\in \\mathbb{C}^6$ for which the ordinary generating function $f(x,t) = \\sum_{n,k=0}^\\infty T(n,k) \\","authors_text":"Alan D. 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