Ratio of tiling generating functions of semi-hexagons and quartered hexagons with dents

preprint2022arXivOpen access

Abstract

We consider the tiling generating functions of semi-hexagons and quartered hexagons with dents on their sides. In general, there are no simple product formulas for these generating functions. However, we show that the modification in the regions' width changes the tiling generating functions by only a simple multiplicative factor.

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