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An exceptional equinumerosity of lattice paths and Young tableaux

Published 3 Jun 2025 in math.CO | (2506.03116v1)

Abstract: We consider families $\mathcal{P}_n$ of plane lattice paths enumerated by Guy, Krattenthaler, and Sagan (1992). We show by explicit bijection that these families are equinumerous with the set $\mathrm{SYT}(n+2,2,1n)$ of standard Young tableaux.

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