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Ties on ParkingFunction ​

Positions i with p(i) = p(i+1).

On ParkingFunction

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 ii such that pi=pi+1p_i=p_{i+1}.
ObjectValue
[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.