Enumeration of lozenge tilings of punctured hexagons
The author finds the number of tilings by unit rhombi of a hexagon with sides \(a\), \(b+1\), \(b\), \(a+1\), \(b\), \(b+1\), all angles \(120^\circ\), and with the central unit triangle removed, reducing it to a product of numbers of self-complementary plane partitions [see \textit{R. P. Stanley}, J. Comb. Theory, Ser. A 43, 103-113 (1986; Zbl 0602.05007); and \textit{G. David} and \textit{C. Tomei}, Am. Math. Mon. 96, No. 5, 429-431 (1989; Zbl 0723.05037)].
scientific article; zbMATH DE number 1212982