Identifier
Values
[1] => [1] => 1
[1,2] => [1,2] => 2
[2,1] => [2,1] => 2
[1,2,3] => [1,2,3] => 3
[1,3,2] => [1,3,2] => 3
[2,1,3] => [2,1,3] => 3
[2,3,1] => [2,3,1] => 3
[3,1,2] => [3,1,2] => 3
[3,2,1] => [3,2,1] => 3
[1,2,3,4] => [1,2,3,4] => 4
[1,2,4,3] => [1,2,4,3] => 4
[1,3,2,4] => [1,3,2,4] => 4
[1,3,4,2] => [1,3,4,2] => 4
[1,4,2,3] => [1,4,2,3] => 4
[1,4,3,2] => [1,4,3,2] => 4
[2,1,3,4] => [2,1,3,4] => 4
[2,1,4,3] => [2,1,4,3] => 4
[2,3,1,4] => [2,3,1,4] => 4
[2,3,4,1] => [2,3,4,1] => 4
[2,4,1,3] => [2,4,1,3] => 4
[2,4,3,1] => [2,4,3,1] => 4
[3,1,2,4] => [3,1,2,4] => 4
[3,1,4,2] => [3,1,4,2] => 4
[3,2,1,4] => [3,2,1,4] => 4
[3,2,4,1] => [3,2,4,1] => 4
[3,4,1,2] => [3,4,1,2] => 4
[3,4,2,1] => [3,4,2,1] => 4
[4,1,2,3] => [4,1,2,3] => 4
[4,1,3,2] => [4,1,3,2] => 4
[4,2,1,3] => [4,2,1,3] => 4
[4,2,3,1] => [4,2,3,1] => 4
[4,3,1,2] => [4,3,1,2] => 4
[4,3,2,1] => [4,3,2,1] => 4
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 lucky cars of the parking function.
A lucky car is a car that was able to park in its prefered spot.
The generating function,
$$ q\prod_{i=1}^{n-1} (i + (n-i+1)q) $$
was established in [1].
Map
parking function
Description
Interpret the permutation as a parking function.