InitialIncreasingSegmentLength on ParkingFunction
The length of the initial strictly increasing segment.
FindStat's St001904. The first i + 1 entries increase exactly when none of the first i neighboring pairs fails to rise.
Called as CombinatorialStat(x, "InitialIncreasingSegmentLength"). 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 St001904
The length of the initial strictly increasing segment of a parking function.
| Object | Value |
|---|---|
[1] | 1 |
[1,1] | 1 |
[1,2] | 2 |
[2,1] | 1 |
[1,1,1] | 1 |
[1,1,2] | 1 |
[1,1,3] | 1 |
[1,2,1] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001904 has the rest.