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CartanDeterminant on IntegerPartition ​

The determinant of the matrix of the minimums of the distinct parts: the least distinct part times the gaps between consecutive distinct parts.

On IntegerPartition

Called as CombinatorialStat(x, "CartanDeterminant"). 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 St001571

The Cartan determinant of the 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/St001571 has the rest.