Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus in the centre

Details Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus in the centre Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus in the centre

1999-06-15

arxiv.org/abs/math/9906102v1

Mathematics

Combinatorics

43 pages, 7 figures

Scientific paper

We compute the number of rhombus tilings of a hexagon with side lengths
a,b,c,a,b,c which contain the central rhombus and the number of rhombus tilings
of a hexagon with side lengths a,b,c,a,b,c which contain the `almost central`
rhombus above the centre.

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