Maximal I_k-avoiding (0,1)-matrices are equinumerous with plane partitions of a certain size, with simple product formulas for their ten symmetry classes and a conceptual extension to skew shapes.
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Enumeration of pattern-avoiding $(0,1)$-matrices and their symmetry classes
Maximal I_k-avoiding (0,1)-matrices are equinumerous with plane partitions of a certain size, with simple product formulas for their ten symmetry classes and a conceptual extension to skew shapes.