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PairsOfDistinctParts on IntegerPartition ​

Pairs of parts that differ in size: the degree of the polynomial counting semistandard tableaux of the stretched shape.

On IntegerPartition

Called as CombinatorialStat(x, "PairsOfDistinctParts"). 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 St000175

Degree of the polynomial counting the number of semistandard Young tableaux when stretching the shape.

ObjectValue
[1]0
[2]0
[3]0
[4]0
[5]0
[6]0
[7]0
[8]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000175 has the rest.