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arxiv: 1601.00384 · v1 · pith:PSONVDC4new · submitted 2016-01-04 · 🧮 math.CO

Generalization of Knuth's formula for the number of skew tableaux

classification 🧮 math.CO
keywords formulageneralizationapproachderiveelementaryexplicitgiveknuth
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We take an elementary approach to derive a generalization of Kunth's formula using Lassalle's explicit formula. In particular, we give a formula for the Kostka numbers of a shape $\mu\vdash n$ and weight $(m,1^{n-m})$ for $m=3,\;4$.

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