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Enumerations and Bijections for Stanley Polyominoes

math.CO · 2026-04-14 · unverdicted · novelty 6.0

Generating functions and explicit bijections are given for Stanley polyominoes, including a solution to the open problem of bijecting area-n parallelogram polyominoes to coin fountains with n coins on even rows and n-k on odd rows.

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  • Enumerations and Bijections for Stanley Polyominoes math.CO · 2026-04-14 · unverdicted · none · ref 13

    Generating functions and explicit bijections are given for Stanley polyominoes, including a solution to the open problem of bijecting area-n parallelogram polyominoes to coin fountains with n coins on even rows and n-k on odd rows.