- FindStat

Identifier

St000136: Parking functions ⟶ ℤ

Values

=>
                            
                            
                            
                            

                        [1]=>0
[1,1]=>0
[1,2]=>1
[2,1]=>0
[1,1,1]=>0
[1,1,2]=>1
[1,2,1]=>0
[2,1,1]=>0
[1,1,3]=>1
[1,3,1]=>2
[3,1,1]=>1
[1,2,2]=>1
[2,1,2]=>0
[2,2,1]=>0
[1,2,3]=>3
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>1
[3,1,2]=>1
[3,2,1]=>0
[1,1,1,1]=>0
[1,1,1,2]=>1
[1,1,2,1]=>0
[1,2,1,1]=>0
[2,1,1,1]=>0
[1,1,1,3]=>1
[1,1,3,1]=>2
[1,3,1,1]=>1
[3,1,1,1]=>1
[1,1,1,4]=>1
[1,1,4,1]=>1
[1,4,1,1]=>2
[4,1,1,1]=>1
[1,1,2,2]=>1
[1,2,1,2]=>0
[1,2,2,1]=>0
[2,1,1,2]=>0
[2,1,2,1]=>0
[2,2,1,1]=>0
[1,1,2,3]=>3
[1,1,3,2]=>2
[1,2,1,3]=>2
[1,2,3,1]=>1
[1,3,1,2]=>1
[1,3,2,1]=>0
[2,1,1,3]=>2
[2,1,3,1]=>1
[2,3,1,1]=>1
[3,1,1,2]=>1
[3,1,2,1]=>0
[3,2,1,1]=>0
[1,1,2,4]=>2
[1,1,4,2]=>3
[1,2,1,4]=>1
[1,2,4,1]=>2
[1,4,1,2]=>4
[1,4,2,1]=>3
[2,1,1,4]=>1
[2,1,4,1]=>2
[2,4,1,1]=>1
[4,1,1,2]=>3
[4,1,2,1]=>2
[4,2,1,1]=>2
[1,1,3,3]=>2
[1,3,1,3]=>3
[1,3,3,1]=>2
[3,1,1,3]=>2
[3,1,3,1]=>1
[3,3,1,1]=>1
[1,1,3,4]=>3
[1,1,4,3]=>2
[1,3,1,4]=>4
[1,3,4,1]=>5
[1,4,1,3]=>3
[1,4,3,1]=>4
[3,1,1,4]=>3
[3,1,4,1]=>4
[3,4,1,1]=>3
[4,1,1,3]=>2
[4,1,3,1]=>3
[4,3,1,1]=>2
[1,2,2,2]=>1
[2,1,2,2]=>0
[2,2,1,2]=>0
[2,2,2,1]=>0
[1,2,2,3]=>2
[1,2,3,2]=>1
[1,3,2,2]=>1
[2,1,2,3]=>1
[2,1,3,2]=>0
[2,2,1,3]=>1
[2,2,3,1]=>1
[2,3,1,2]=>0
[2,3,2,1]=>0
[3,1,2,2]=>1
[3,2,1,2]=>0
[3,2,2,1]=>0
[1,2,2,4]=>3
[1,2,4,2]=>4
[1,4,2,2]=>3
[2,1,2,4]=>2
[2,1,4,2]=>3
[2,2,1,4]=>2
[2,2,4,1]=>1
[2,4,1,2]=>2
[2,4,2,1]=>2
[4,1,2,2]=>2
[4,2,1,2]=>1
[4,2,2,1]=>1
[1,2,3,3]=>3
[1,3,2,3]=>2
[1,3,3,2]=>2
[2,1,3,3]=>2
[2,3,1,3]=>1
[2,3,3,1]=>1
[3,1,2,3]=>1
[3,1,3,2]=>1
[3,2,1,3]=>0
[3,2,3,1]=>0
[3,3,1,2]=>1
[3,3,2,1]=>0
[1,2,3,4]=>6
[1,2,4,3]=>5
[1,3,2,4]=>5
[1,3,4,2]=>4
[1,4,2,3]=>4
[1,4,3,2]=>3
[2,1,3,4]=>5
[2,1,4,3]=>4
[2,3,1,4]=>4
[2,3,4,1]=>3
[2,4,1,3]=>3
[2,4,3,1]=>2
[3,1,2,4]=>4
[3,1,4,2]=>3
[3,2,1,4]=>3
[3,2,4,1]=>2
[3,4,1,2]=>2
[3,4,2,1]=>1
[4,1,2,3]=>3
[4,1,3,2]=>2
[4,2,1,3]=>2
[4,2,3,1]=>1
[4,3,1,2]=>1
[4,3,2,1]=>0
                    

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Description

The dinv of a parking function.

Code

def statistic(x):
    return x.dinv()

Created

Jun 20, 2013 at 12:18 by Chris Berg

Updated

Feb 17, 2015 at 17:38 by Martin Rubey