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The number of convex polyominoes and the generating function of Jacobi polynomials
Authors:Victor J.W. Guo
Affiliation:a Center for Combinatorics, LPMC, Nankai University, Tianjin 300071, People's Republic of China
b Institut Camille Jordan, Université Claude Bernard (Lyon I), F-69622 Villeurbanne Cedex, France
Abstract:Lin and Chang gave a generating function of convex polyominoes with an m+1 by n+1 minimal bounding rectangle. Gessel showed that their result implies that the number of such polyominoes is
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Keywords:Convex polyominoes   Chu-Vandermonde formula   Generating function   Jacobi polynomials
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