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FirstRowSum on PlanePartition ​

The sum of the first row.

On PlanePartition

FindStat's St001456.

Called as CombinatorialStat(x, "FirstRowSum"). 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.

FindStat St001456

Sum of the top row 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/St001456 has the rest.