Answer by Sam Hopkins for hook length formula for plane partitions
I'll convert my comments to an answer.You are asking about the number of linear extensions of a poset $P$ which is a finite order ideal (downwards closed set) in $\mathbb{N}^3$. With SageMath I was...
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The hook length formula give a simple product expression for the number of standard Young tableaux of a given shape $\lambda$, where $\lambda$ is an integer partition, or equivalently, the number of...
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