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arXiv · 2506.03116

An exceptional equinumerosity of lattice paths and Young tableaux

Liam Ayres·Evan Bialo·Aidan Cook·Alwin Chen·Matteus Froese·Erica Liu·Maryam Mohammadi Yekta·Oliver Pechenik·Benjamin Wong
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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 $\mathrm{SYT}(n+2,2,1^n)$ of standard Young tableaux.

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Liam Ayres, Evan Bialo, Aidan Cook, Alwin Chen, Matteus Froese, Erica Liu, Maryam Mohammadi Yekta, Oliver Pechenik, Benjamin Wong. 2025-06-03. An exceptional equinumerosity of lattice paths and Young tableaux. https://arxiv.org/abs/2506.03116

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