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HookLengthOfLastDiagonalCell on IntegerPartition ​

The hook length of the last cell on the main diagonal: that of cell (d,d) for Durfee side d.

On IntegerPartition

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

Live

FindStat St000460

The hook length of the last cell along the main diagonal of an integer partition.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000460 has the rest.