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