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LargestPart on PlanePartition ​

The largest entry: the corner of the array.

On PlanePartition

FindStat's St001447, the height of the base box; the same head as on partitions.

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

Live

Distribution

Over PlanePartitions at each size, tallied here in your browser; sizes past 6 are not offered.

Also on

The same name on other carriers, each its own implementation: IntegerPartition, IntegerComposition.

FindStat St001447

Height of the base box of a plane 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/St001447 has the rest.