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arxiv: math/9906102 · v1 · submitted 1999-06-15 · 🧮 math.CO

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

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keywords rhombuscontainhexagontilingscentralcentrelengthsnumber
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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.

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