NormalizedSumOfDistancesToGreaterElement on Permutation
The same sum, each gap one less: the entries strictly between a position and its nearest greater entry.
Called as CombinatorialStat(x, "NormalizedSumOfDistancesToGreaterElement"). The head's page has its examples.
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FindStat St000624
The normalized sum of the minimal distances to a greater element.
| Object | Value |
|---|---|
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 0 |
[1,3,2] | 1 |
[2,1,3] | 0 |
[2,3,1] | 1 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000624 has the rest.