CycleMinimumExceedancesDeficiencies on Permutation
The sum over the cycles of the lesser of the number of exceedances and the number of the other points.
Called as CombinatorialStat(x, "CycleMinimumExceedancesDeficiencies"). The head's page has its examples.
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FindStat St001269
The sum of the minimum of the number of exceedances and deficiencies in each cycle of a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 0 |
[2,1] | 1 |
[1,2,3] | 0 |
[1,3,2] | 1 |
[2,1,3] | 1 |
[2,3,1] | 1 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001269 has the rest.