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

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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.
43 pages, 7 figures

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