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ExponentSquareSum on CartanType ​

The sum of the squares of the exponents of the Weyl group.

On CartanType

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

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Distribution

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

FindStat St001680

The sum of the squares of the exponents of the Weyl group of the finite Cartan type.

ObjectValue
['A',1]1
['A',2]5
['A',3]14
['A',4]30
['A',5]55
['A',6]91
['A',7]140
['A',8]204

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001680 has the rest.