Ties on ParkingFunction
Positions i with p(i) = p(i+1).
FindStat's St001947.
Called as CombinatorialStat(x, "Ties"). 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 St001947
The number of ties in a parking function.
The number of ties in a parking function. This is the number of indices such that .
| Object | Value |
|---|---|
[1] | 0 |
[1,1] | 1 |
[1,2] | 0 |
[2,1] | 0 |
[1,1,1] | 2 |
[1,1,2] | 1 |
[1,1,3] | 1 |
[1,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001947 has the rest.