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Load on Permutation ​

The major index of the reverse of the inverse.

On Permutation

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

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FindStat St000304

The load of a permutation.

ObjectValue
[1]0
[1,2]1
[2,1]0
[1,2,3]3
[1,3,2]2
[2,1,3]1
[2,3,1]1
[3,1,2]2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000304 has the rest.