SumLessLength on ParkingFunction
The sum of the preferences less their number.
FindStat's St000540.
Called as CombinatorialStat(x, "SumLessLength"). The head's page has its examples.
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Distribution
Over ParkingFunctions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000540
The sum of the entries of a parking function minus its length.
| Object | Value |
|---|---|
[1] | 0 |
[1,1] | 0 |
[1,2] | 1 |
[2,1] | 1 |
[1,1,1] | 0 |
[1,1,2] | 1 |
[1,1,3] | 2 |
[1,2,1] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000540 has the rest.