An exceptional equinumerosity of lattice paths and Young tableaux
An exceptional equinumerosity of lattice paths and Young tableaux
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.
Liam Ayres、Evan Bialo、Aidan Cook、Alwin Chen、Matteus Froese、Erica Liu、Maryam Mohammadi Yekta、Oliver Pechenik、Benjamin Wong
数学
Liam Ayres,Evan Bialo,Aidan Cook,Alwin Chen,Matteus Froese,Erica Liu,Maryam Mohammadi Yekta,Oliver Pechenik,Benjamin Wong.An exceptional equinumerosity of lattice paths and Young tableaux[EB/OL].(2025-06-03)[2025-06-18].https://arxiv.org/abs/2506.03116.点此复制
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