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arxiv: 1610.06284 · v3 · pith:JRP4WQDFnew · submitted 2016-10-20 · 🧮 math.CO

Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary

classification 🧮 math.CO
keywords halvedhexagonboundarylozengeremovedtilingsarrayenumeration
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Proctor's work on staircase plane partitions yields an enumeration of lozenge tilings of a halved hexagon on the triangular lattice. Rohatgi recently extended this tiling enumeration to a halved hexagon with a triangle removed from the boundary. In this paper we prove a generalization of the results of Proctor and Rohatgi by enumerating lozenge tilings of a halved hexagon in which an array of adjacent triangles has been removed from the boundary.

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