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SymplecticDimensionRankTwo on IntegerPartition ​

The dimension of the irreducible representation of Sp(4) with this highest weight; 0 if the partition has more than 2 parts.

On IntegerPartition

Called as CombinatorialStat(x, "SymplecticDimensionRankTwo"). 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 St000713

The dimension of the irreducible representation of Sp(4) labelled by an integer partition.

ObjectValue
[2]10
[3]20
[4]35
[5]56
[6]84
[7]120
[8]165
[9]220

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000713 has the rest.