Enumeration of lozenge tilings of hexagons with a central triangular hole

Mihai Ciucu, Theresia Eisenkölbl, C. Krattenthaler +1

We deal with unweighted and weighted enumerations of lozenge tilings of a hexagon with side lengths $a,b+m,c,a+m,b,c+m$, where an equilateral triangle of side length $m$ has been r…