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A factorisation theorem for the number of rhombus tilings of a hexagon with triangular holes

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A factorisation theorem for the number of rhombus tilings of a hexagon with triangular holes
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23
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
I shall present a curious factorisation theorem for the number of rhombus tilings of a hexagon with vertical and horizontal symmetry axis, with triangular holes along the latter axis. Its proof is essentially based on (non-intersecting) lattice paths.
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