Derives generating functions for rectangle tilings with Ferrers tiles, proves real-rootedness and interlacing of independence polynomials, links results to OEIS sequences, and shows the two-column case yields real-rooted interlacing sequences.
Unimodality polynomials and generalized
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Polynomials from tilings of rectangles
Derives generating functions for rectangle tilings with Ferrers tiles, proves real-rootedness and interlacing of independence polynomials, links results to OEIS sequences, and shows the two-column case yields real-rooted interlacing sequences.