The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, I

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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 that cuts through the sides of length $M$.
20 pages, AmS-LaTeX, uses TeXDraw

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