Enumeration of rhombus tilings of a hexagon which contain a
fixed rhombus on its symmetry axis
(Extended Abstract)
(12 pages)
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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