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- W4376309387 abstract "Consider an $mtimes n$ table $T$ and latices paths $nu_1,ldots,nu_k$ in $T$ such that each step $nu_{i+1}-nu_i=(1,1)$, $(1,0)$ or $(1,-1)$. The number of paths from the $(1,i)$-blank (resp. first column) to the $(s,t)$-blank is denoted by $mathcal{D}^i(s,t)$ (resp. $mathcal{D}(s,t)$). Also, the number of all paths form the first column to the las column is denoted by $mathcal{I}_m(n)$. We give explicit formulas for the numbers $mathcal{D}^1(s,t)$ and $mathcal{D}(s,t)$." @default.
- W4376309387 created "2023-05-13" @default.
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- W4376309387 date "2017-10-30" @default.
- W4376309387 modified "2023-09-30" @default.
- W4376309387 title "Lattice paths inside a table, II" @default.
- W4376309387 doi "https://doi.org/10.48550/arxiv.1711.01924" @default.
- W4376309387 hasPublicationYear "2017" @default.
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