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CohookLengthProduct on IntegerPartition ​

The product of the cohook lengths i + j - 1 of the cells.

On IntegerPartition

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

Live

FindStat St001378

The product of the cohook lengths of the integer partition.

ObjectValue
[1]1
[2]2
[3]6
[4]24
[5]120
[6]720
[7]5040
[8]40320

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001378 has the rest.