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Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

Mihai Ciucu, Markus Fulmek, Christian Krattenthaler

math.COarXiv:math/9712201

Abstract

We compute the number of rhombus tilings of a hexagon with sides N,M,N,N,M,N, which contain a fixed rhombus on the symmetry axis. A special case solves a problem posed by Jim Propp.

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