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

Mihai Ciucu, Markus Fulmek, Christian Krattenthaler

Published 1997-11-26Version 1

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.

Comments: 21 pages, AmS-LaTeX, uses TeXDraw Extended Abstract, submitted to FPSAC'98
Categories: math.CO
Subjects: 05A15, 05A19, 05B45, 52C20
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