Identifier
            
            - 
Mp00286:
Ordered set partitions
—to permutation⟶
Permutations
		
Mp00305: Permutations —parking function⟶ Parking functions
St000943: Parking functions ⟶ ℤ 
                Values
            
            [{1}] => [1] => [1] => 0
[{1},{2}] => [1,2] => [1,2] => 0
[{2},{1}] => [2,1] => [2,1] => 0
[{1,2}] => [1,2] => [1,2] => 0
[{1},{2},{3}] => [1,2,3] => [1,2,3] => 0
[{1},{3},{2}] => [1,3,2] => [1,3,2] => 0
[{2},{1},{3}] => [2,1,3] => [2,1,3] => 0
[{3},{1},{2}] => [3,1,2] => [3,1,2] => 0
[{2},{3},{1}] => [2,3,1] => [2,3,1] => 0
[{3},{2},{1}] => [3,2,1] => [3,2,1] => 0
[{1},{2,3}] => [1,2,3] => [1,2,3] => 0
[{2},{1,3}] => [2,1,3] => [2,1,3] => 0
[{3},{1,2}] => [3,1,2] => [3,1,2] => 0
[{1,2},{3}] => [1,2,3] => [1,2,3] => 0
[{1,3},{2}] => [1,3,2] => [1,3,2] => 0
[{2,3},{1}] => [2,3,1] => [2,3,1] => 0
[{1,2,3}] => [1,2,3] => [1,2,3] => 0
[{1},{2},{3},{4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1},{2},{4},{3}] => [1,2,4,3] => [1,2,4,3] => 0
[{1},{3},{2},{4}] => [1,3,2,4] => [1,3,2,4] => 0
[{1},{4},{2},{3}] => [1,4,2,3] => [1,4,2,3] => 0
[{1},{3},{4},{2}] => [1,3,4,2] => [1,3,4,2] => 0
[{1},{4},{3},{2}] => [1,4,3,2] => [1,4,3,2] => 0
[{2},{1},{3},{4}] => [2,1,3,4] => [2,1,3,4] => 0
[{2},{1},{4},{3}] => [2,1,4,3] => [2,1,4,3] => 0
[{3},{1},{2},{4}] => [3,1,2,4] => [3,1,2,4] => 0
[{4},{1},{2},{3}] => [4,1,2,3] => [4,1,2,3] => 0
[{3},{1},{4},{2}] => [3,1,4,2] => [3,1,4,2] => 0
[{4},{1},{3},{2}] => [4,1,3,2] => [4,1,3,2] => 0
[{2},{3},{1},{4}] => [2,3,1,4] => [2,3,1,4] => 0
[{2},{4},{1},{3}] => [2,4,1,3] => [2,4,1,3] => 0
[{3},{2},{1},{4}] => [3,2,1,4] => [3,2,1,4] => 0
[{4},{2},{1},{3}] => [4,2,1,3] => [4,2,1,3] => 0
[{3},{4},{1},{2}] => [3,4,1,2] => [3,4,1,2] => 0
[{4},{3},{1},{2}] => [4,3,1,2] => [4,3,1,2] => 0
[{2},{3},{4},{1}] => [2,3,4,1] => [2,3,4,1] => 0
[{2},{4},{3},{1}] => [2,4,3,1] => [2,4,3,1] => 0
[{3},{2},{4},{1}] => [3,2,4,1] => [3,2,4,1] => 0
[{4},{2},{3},{1}] => [4,2,3,1] => [4,2,3,1] => 0
[{3},{4},{2},{1}] => [3,4,2,1] => [3,4,2,1] => 0
[{4},{3},{2},{1}] => [4,3,2,1] => [4,3,2,1] => 0
[{1},{2},{3,4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1},{3},{2,4}] => [1,3,2,4] => [1,3,2,4] => 0
[{1},{4},{2,3}] => [1,4,2,3] => [1,4,2,3] => 0
[{2},{1},{3,4}] => [2,1,3,4] => [2,1,3,4] => 0
[{3},{1},{2,4}] => [3,1,2,4] => [3,1,2,4] => 0
[{4},{1},{2,3}] => [4,1,2,3] => [4,1,2,3] => 0
[{2},{3},{1,4}] => [2,3,1,4] => [2,3,1,4] => 0
[{2},{4},{1,3}] => [2,4,1,3] => [2,4,1,3] => 0
[{3},{2},{1,4}] => [3,2,1,4] => [3,2,1,4] => 0
[{4},{2},{1,3}] => [4,2,1,3] => [4,2,1,3] => 0
[{3},{4},{1,2}] => [3,4,1,2] => [3,4,1,2] => 0
[{4},{3},{1,2}] => [4,3,1,2] => [4,3,1,2] => 0
[{1},{2,3},{4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1},{2,4},{3}] => [1,2,4,3] => [1,2,4,3] => 0
[{1},{3,4},{2}] => [1,3,4,2] => [1,3,4,2] => 0
[{2},{1,3},{4}] => [2,1,3,4] => [2,1,3,4] => 0
[{2},{1,4},{3}] => [2,1,4,3] => [2,1,4,3] => 0
[{3},{1,2},{4}] => [3,1,2,4] => [3,1,2,4] => 0
[{4},{1,2},{3}] => [4,1,2,3] => [4,1,2,3] => 0
[{3},{1,4},{2}] => [3,1,4,2] => [3,1,4,2] => 0
[{4},{1,3},{2}] => [4,1,3,2] => [4,1,3,2] => 0
[{2},{3,4},{1}] => [2,3,4,1] => [2,3,4,1] => 0
[{3},{2,4},{1}] => [3,2,4,1] => [3,2,4,1] => 0
[{4},{2,3},{1}] => [4,2,3,1] => [4,2,3,1] => 0
[{1},{2,3,4}] => [1,2,3,4] => [1,2,3,4] => 0
[{2},{1,3,4}] => [2,1,3,4] => [2,1,3,4] => 0
[{3},{1,2,4}] => [3,1,2,4] => [3,1,2,4] => 0
[{4},{1,2,3}] => [4,1,2,3] => [4,1,2,3] => 0
[{1,2},{3},{4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1,2},{4},{3}] => [1,2,4,3] => [1,2,4,3] => 0
[{1,3},{2},{4}] => [1,3,2,4] => [1,3,2,4] => 0
[{1,4},{2},{3}] => [1,4,2,3] => [1,4,2,3] => 0
[{1,3},{4},{2}] => [1,3,4,2] => [1,3,4,2] => 0
[{1,4},{3},{2}] => [1,4,3,2] => [1,4,3,2] => 0
[{2,3},{1},{4}] => [2,3,1,4] => [2,3,1,4] => 0
[{2,4},{1},{3}] => [2,4,1,3] => [2,4,1,3] => 0
[{3,4},{1},{2}] => [3,4,1,2] => [3,4,1,2] => 0
[{2,3},{4},{1}] => [2,3,4,1] => [2,3,4,1] => 0
[{2,4},{3},{1}] => [2,4,3,1] => [2,4,3,1] => 0
[{3,4},{2},{1}] => [3,4,2,1] => [3,4,2,1] => 0
[{1,2},{3,4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1,3},{2,4}] => [1,3,2,4] => [1,3,2,4] => 0
[{1,4},{2,3}] => [1,4,2,3] => [1,4,2,3] => 0
[{2,3},{1,4}] => [2,3,1,4] => [2,3,1,4] => 0
[{2,4},{1,3}] => [2,4,1,3] => [2,4,1,3] => 0
[{3,4},{1,2}] => [3,4,1,2] => [3,4,1,2] => 0
[{1,2,3},{4}] => [1,2,3,4] => [1,2,3,4] => 0
[{1,2,4},{3}] => [1,2,4,3] => [1,2,4,3] => 0
[{1,3,4},{2}] => [1,3,4,2] => [1,3,4,2] => 0
[{2,3,4},{1}] => [2,3,4,1] => [2,3,4,1] => 0
[{1,2,3,4}] => [1,2,3,4] => [1,2,3,4] => 0
                    
                        
                search for individual values
                        
            
                            searching the database for the individual values of this statistic
                        
                    
                    
                    /
                    
                        
			search for generating function
                        
                            searching the database for statistics with the same generating function
                        
                    
                    
                Description
            The number of spots the most unlucky car had to go further in a parking function.
	Map
            to permutation
	    
	Description
            Return the permutation obtained by concatenating the blocks sorted into increasing order.
	Map
            parking function
	    
	Description
            Interpret the permutation as a parking function.
	searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!