Identifier
Values
[1] => [1] => 1
[1,2] => [1,2] => 1
[2,1] => [1,2] => 1
[1,2,3] => [1,2,3] => 1
[1,3,2] => [1,3,2] => 1
[2,1,3] => [1,3,2] => 1
[2,3,1] => [1,2,3] => 1
[3,1,2] => [1,2,3] => 1
[3,2,1] => [1,2,3] => 1
[1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,4,3] => 1
[1,3,2,4] => [1,3,2,4] => 1
[1,3,4,2] => [1,3,4,2] => 1
[1,4,2,3] => [1,4,2,3] => 1
[1,4,3,2] => [1,4,2,3] => 1
[2,1,3,4] => [1,3,4,2] => 1
[2,1,4,3] => [1,4,2,3] => 1
[2,3,1,4] => [1,4,2,3] => 1
[2,3,4,1] => [1,2,3,4] => 1
[2,4,1,3] => [1,3,2,4] => 1
[2,4,3,1] => [1,2,4,3] => 1
[3,1,2,4] => [1,2,4,3] => 1
[3,1,4,2] => [1,4,2,3] => 1
[3,2,1,4] => [1,4,2,3] => 1
[3,2,4,1] => [1,2,4,3] => 1
[3,4,1,2] => [1,2,3,4] => 1
[3,4,2,1] => [1,2,3,4] => 1
[4,1,2,3] => [1,2,3,4] => 1
[4,1,3,2] => [1,3,2,4] => 1
[4,2,1,3] => [1,3,2,4] => 1
[4,2,3,1] => [1,2,3,4] => 1
[4,3,1,2] => [1,2,3,4] => 1
[4,3,2,1] => [1,2,3,4] => 1
[1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,5,4] => 1
[1,2,4,3,5] => [1,2,4,3,5] => 1
[1,2,4,5,3] => [1,2,4,5,3] => 1
[1,2,5,3,4] => [1,2,5,3,4] => 1
[1,2,5,4,3] => [1,2,5,3,4] => 1
[1,3,2,4,5] => [1,3,2,4,5] => 1
[1,3,2,5,4] => [1,3,2,5,4] => 2
[1,3,4,2,5] => [1,3,4,2,5] => 1
[1,3,4,5,2] => [1,3,4,5,2] => 1
[1,3,5,2,4] => [1,3,5,2,4] => 1
[1,3,5,4,2] => [1,3,5,2,4] => 1
[1,4,2,3,5] => [1,4,2,3,5] => 1
[1,4,2,5,3] => [1,4,2,5,3] => 1
[1,4,3,2,5] => [1,4,2,5,3] => 1
[1,4,3,5,2] => [1,4,2,3,5] => 1
[1,4,5,2,3] => [1,4,5,2,3] => 1
[1,4,5,3,2] => [1,4,5,2,3] => 1
[1,5,2,3,4] => [1,5,2,3,4] => 1
[1,5,2,4,3] => [1,5,2,4,3] => 1
[1,5,3,2,4] => [1,5,2,4,3] => 1
[1,5,3,4,2] => [1,5,2,3,4] => 1
[1,5,4,2,3] => [1,5,2,3,4] => 1
[1,5,4,3,2] => [1,5,2,3,4] => 1
[2,1,3,4,5] => [1,3,4,5,2] => 1
[2,1,3,5,4] => [1,3,5,2,4] => 1
[2,1,4,3,5] => [1,4,2,3,5] => 1
[2,1,4,5,3] => [1,4,5,2,3] => 1
[2,1,5,3,4] => [1,5,2,3,4] => 1
[2,1,5,4,3] => [1,5,2,3,4] => 1
[2,3,1,4,5] => [1,4,5,2,3] => 1
[2,3,1,5,4] => [1,5,2,3,4] => 1
[2,3,4,1,5] => [1,5,2,3,4] => 1
[2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,5,1,4] => [1,4,2,3,5] => 1
[2,3,5,4,1] => [1,2,3,5,4] => 1
[2,4,1,3,5] => [1,3,5,2,4] => 1
[2,4,1,5,3] => [1,5,2,4,3] => 1
[2,4,3,1,5] => [1,5,2,4,3] => 1
[2,4,3,5,1] => [1,2,4,3,5] => 1
[2,4,5,1,3] => [1,3,2,4,5] => 1
[2,4,5,3,1] => [1,2,4,5,3] => 1
[2,5,1,3,4] => [1,3,4,2,5] => 1
[2,5,1,4,3] => [1,4,2,5,3] => 1
[2,5,3,1,4] => [1,4,2,5,3] => 1
[2,5,3,4,1] => [1,2,5,3,4] => 1
[2,5,4,1,3] => [1,3,2,5,4] => 2
[2,5,4,3,1] => [1,2,5,3,4] => 1
[3,1,2,4,5] => [1,2,4,5,3] => 1
[3,1,2,5,4] => [1,2,5,3,4] => 1
[3,1,4,2,5] => [1,4,2,5,3] => 1
[3,1,4,5,2] => [1,4,5,2,3] => 1
[3,1,5,2,4] => [1,5,2,4,3] => 1
[3,1,5,4,2] => [1,5,2,3,4] => 1
[3,2,1,4,5] => [1,4,5,2,3] => 1
[3,2,1,5,4] => [1,5,2,3,4] => 1
[3,2,4,1,5] => [1,5,2,4,3] => 1
[3,2,4,5,1] => [1,2,4,5,3] => 1
[3,2,5,1,4] => [1,4,2,5,3] => 1
[3,2,5,4,1] => [1,2,5,3,4] => 1
[3,4,1,2,5] => [1,2,5,3,4] => 1
[3,4,1,5,2] => [1,5,2,3,4] => 1
[3,4,2,1,5] => [1,5,2,3,4] => 1
[3,4,2,5,1] => [1,2,5,3,4] => 1
[3,4,5,1,2] => [1,2,3,4,5] => 1
[3,4,5,2,1] => [1,2,3,4,5] => 1
[3,5,1,2,4] => [1,2,4,3,5] => 1
[3,5,1,4,2] => [1,4,2,3,5] => 1
>>> Load all 153 entries. <<<
[3,5,2,1,4] => [1,4,2,3,5] => 1
[3,5,2,4,1] => [1,2,4,3,5] => 1
[3,5,4,1,2] => [1,2,3,5,4] => 1
[3,5,4,2,1] => [1,2,3,5,4] => 1
[4,1,2,3,5] => [1,2,3,5,4] => 1
[4,1,2,5,3] => [1,2,5,3,4] => 1
[4,1,3,2,5] => [1,3,2,5,4] => 2
[4,1,3,5,2] => [1,3,5,2,4] => 1
[4,1,5,2,3] => [1,5,2,3,4] => 1
[4,1,5,3,2] => [1,5,2,3,4] => 1
[4,2,1,3,5] => [1,3,5,2,4] => 1
[4,2,1,5,3] => [1,5,2,3,4] => 1
[4,2,3,1,5] => [1,5,2,3,4] => 1
[4,2,3,5,1] => [1,2,3,5,4] => 1
[4,2,5,1,3] => [1,3,2,5,4] => 2
[4,2,5,3,1] => [1,2,5,3,4] => 1
[4,3,1,2,5] => [1,2,5,3,4] => 1
[4,3,1,5,2] => [1,5,2,3,4] => 1
[4,3,2,1,5] => [1,5,2,3,4] => 1
[4,3,2,5,1] => [1,2,5,3,4] => 1
[4,3,5,1,2] => [1,2,3,5,4] => 1
[4,3,5,2,1] => [1,2,3,5,4] => 1
[4,5,1,2,3] => [1,2,3,4,5] => 1
[4,5,1,3,2] => [1,3,2,4,5] => 1
[4,5,2,1,3] => [1,3,2,4,5] => 1
[4,5,2,3,1] => [1,2,3,4,5] => 1
[4,5,3,1,2] => [1,2,3,4,5] => 1
[4,5,3,2,1] => [1,2,3,4,5] => 1
[5,1,2,3,4] => [1,2,3,4,5] => 1
[5,1,2,4,3] => [1,2,4,3,5] => 1
[5,1,3,2,4] => [1,3,2,4,5] => 1
[5,1,3,4,2] => [1,3,4,2,5] => 1
[5,1,4,2,3] => [1,4,2,3,5] => 1
[5,1,4,3,2] => [1,4,2,3,5] => 1
[5,2,1,3,4] => [1,3,4,2,5] => 1
[5,2,1,4,3] => [1,4,2,3,5] => 1
[5,2,3,1,4] => [1,4,2,3,5] => 1
[5,2,3,4,1] => [1,2,3,4,5] => 1
[5,2,4,1,3] => [1,3,2,4,5] => 1
[5,2,4,3,1] => [1,2,4,3,5] => 1
[5,3,1,2,4] => [1,2,4,3,5] => 1
[5,3,1,4,2] => [1,4,2,3,5] => 1
[5,3,2,1,4] => [1,4,2,3,5] => 1
[5,3,2,4,1] => [1,2,4,3,5] => 1
[5,3,4,1,2] => [1,2,3,4,5] => 1
[5,3,4,2,1] => [1,2,3,4,5] => 1
[5,4,1,2,3] => [1,2,3,4,5] => 1
[5,4,1,3,2] => [1,3,2,4,5] => 1
[5,4,2,1,3] => [1,3,2,4,5] => 1
[5,4,2,3,1] => [1,2,3,4,5] => 1
[5,4,3,1,2] => [1,2,3,4,5] => 1
[5,4,3,2,1] => [1,2,3,4,5] => 1
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 connected components of the quiver of $A/T$ when $T$ is the 1-tilting module corresponding to the permutation in the Auslander algebra $A$ of $K[x]/(x^n)$.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.