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SelfEvacuatingTableauCount on IntegerPartition ​

The standard Young tableaux of the shape that evacuation fixes, equivalently its standard domino tableaux.

On IntegerPartition

Called as CombinatorialStat(x, "SelfEvacuatingTableauCount"). The head's page has its examples.

Live

Distribution

Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.

FindStat St000618

The number of self-evacuating tableaux of given shape.

ObjectValue
[1]1
[2]1
[3]1
[4]1
[5]1
[6]1
[7]1
[8]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000618 has the rest.