Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

Christian Krattenthaler (Universit"at Wien); Markus Fulmek; Mihai Ciucu (IAS; Princeton)

arxiv: math/9712201 · v1 · submitted 1997-11-26 · 🧮 math.CO

Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

Mihai Ciucu (IAS , Princeton) , Markus Fulmek , Christian Krattenthaler (Universit"at Wien) This is my paper

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keywords rhombusaxiscontainfixedhexagonsymmetrytilingscase

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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. A special case solves a problem posed by Jim Propp.

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Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis

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