Identifier
Values
[1] => [1] => 1
[1,2] => [1,2] => 3
[2,1] => [2,1] => 3
[1,2,3] => [1,2,3] => 6
[1,3,2] => [1,3,2] => 6
[2,1,3] => [2,1,3] => 6
[2,3,1] => [2,3,1] => 6
[3,1,2] => [3,1,2] => 6
[3,2,1] => [3,2,1] => 6
[1,2,3,4] => [1,2,3,4] => 10
[1,2,4,3] => [1,2,4,3] => 10
[1,3,2,4] => [1,3,2,4] => 10
[1,3,4,2] => [1,3,4,2] => 10
[1,4,2,3] => [1,4,2,3] => 10
[1,4,3,2] => [1,4,3,2] => 10
[2,1,3,4] => [2,1,3,4] => 10
[2,1,4,3] => [2,1,4,3] => 10
[2,3,1,4] => [2,3,1,4] => 10
[2,3,4,1] => [2,3,4,1] => 10
[2,4,1,3] => [2,4,1,3] => 10
[2,4,3,1] => [2,4,3,1] => 10
[3,1,2,4] => [3,1,2,4] => 10
[3,1,4,2] => [3,1,4,2] => 10
[3,2,1,4] => [3,2,1,4] => 10
[3,2,4,1] => [3,2,4,1] => 10
[3,4,1,2] => [3,4,1,2] => 10
[3,4,2,1] => [3,4,2,1] => 10
[4,1,2,3] => [4,1,2,3] => 10
[4,1,3,2] => [4,1,3,2] => 10
[4,2,1,3] => [4,2,1,3] => 10
[4,2,3,1] => [4,2,3,1] => 10
[4,3,1,2] => [4,3,1,2] => 10
[4,3,2,1] => [4,3,2,1] => 10
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 sum of the entries of a parking function.
The generating function for parking functions by sum is the evaluation at $x=1$ and $y=1/q$ of the Tutte polynomial of the complete graph, multiplied by $q^\binom{n}{2}$.
Map
parking function
Description
Interpret the permutation as a parking function.