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Lattice paths and the Geode

math.CO · 2025-07-12 · accept · novelty 5.0

The Geode G equals (1 - sum_{n>=1} t_n (1+S+...+S^{n-1}))^{-1} and counts nonnegative lattice paths with steps -1,0,1,2,... under a natural weight.

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  • Lattice paths and the Geode math.CO · 2025-07-12 · accept · none · ref 2

    The Geode G equals (1 - sum_{n>=1} t_n (1+S+...+S^{n-1}))^{-1} and counts nonnegative lattice paths with steps -1,0,1,2,... under a natural weight.