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
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.