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DiagonalHookLengthProduct on IntegerPartition ​

The product of the hook lengths of the cells on the main diagonal.

On IntegerPartition

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

Live

FindStat St000870

The product of the hook lengths of the diagonal cells in 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/St000870 has the rest.