This material has been published in Europ. J. Combin. 21 (2000), 601-640, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Academic Press. This material may not be copied or reposted without explicit permission.

Markus Fulmek and Christian Krattenthaler

The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II

(42 pages)

Abstract. We compute the number of rhombus tilings of a hexagon with sides N,M,N,N,M,N, with N and M having the same parity, which contain a particular rhombus next to the center of the hexagon. The special case N=M solves a problem posed by Propp.

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