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arXiv · 1506.07256

Enumeration of standard Young tableaux of shifted strips with constant width

Ping Sun
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Abstract

Let $g_{n_1,n_2}$ be the number of standard Young tableau of truncated shifted shape with $n_1$ rows and $n_2$ boxes in each row. By using of the integral method this paper derives the recurrence relations of $g_{3,n}$, $g_{n,4}$ and $g_{n,5}$ respectively. Specially, $g_{n,4}$ is the $(2n-1)$-st Pell number.

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Ping Sun. 2015-06-24. Enumeration of standard Young tableaux of shifted strips with constant width. https://arxiv.org/abs/1506.07256

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