Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux

Shalosh B. Ekhad; Doron Zeilberger

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arXiv · 1202.6229

Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux

Shalosh B. Ekhad·Doron Zeilberger

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Abstract

In how many ways can you place n chocolate pieces all of different sizes in an n by n chocolate box, in such a way that when you go from left to right and from top to bottom, there are no gaps AND the sizes increase along each row and each column? The answer is the well-known OEIS Sequence Number 85. To our amazement, the analogous sequence for a three-dimensional chocolate box was not there. Here we fill this gap, and more importantly, offer some computational and theoretical challenges about enumerating families of Solid Standard Young Tableaux.

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Shalosh B. Ekhad, Doron Zeilberger. 2012-02-28. Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux. https://arxiv.org/abs/1202.6229

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