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BabsonSteingrimssonStatistic on Permutation ​

Babson and Steingrimsson's stat: (13-2) + (21-3) + (32-1) + (21).

On Permutation

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

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Distribution

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FindStat St000692

Babson and Steingrímsson's statistic of a permutation.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000692 has the rest.