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It has been proven that the lozenge tilings of a quartered hexagon on thetriangular lattice are enumerated by a simple product formula. In this paper wegive a new proof for the tiling formula by using Kuo's graphical condensation.Our result generalizes a Proctor's theorem on enumeration of plane partitionscontained in a "maximal staircase".

A new proof for the number of lozenge tilings of quartered hexagons