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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
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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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Mihai Ciucu, Markus Fulmek, Christian Krattenthaler. 1997-11-26. Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis. https://arxiv.org/abs/math/9712201

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