Identifier
Values
[1] => [1] => 0
[1,2] => [2,1] => 1
[2,1] => [1,2] => 0
[1,2,3] => [3,2,1] => 4
[1,3,2] => [3,1,2] => 3
[2,1,3] => [2,3,1] => 3
[2,3,1] => [2,1,3] => 1
[3,1,2] => [1,3,2] => 1
[3,2,1] => [1,2,3] => 0
[1,2,3,4] => [4,3,2,1] => 10
[1,2,4,3] => [4,3,1,2] => 9
[1,3,2,4] => [4,2,3,1] => 9
[1,3,4,2] => [4,2,1,3] => 7
[1,4,2,3] => [4,1,3,2] => 7
[1,4,3,2] => [4,1,2,3] => 6
[2,1,3,4] => [3,4,2,1] => 9
[2,1,4,3] => [3,4,1,2] => 8
[2,3,1,4] => [3,2,4,1] => 7
[2,3,4,1] => [3,2,1,4] => 4
[2,4,1,3] => [3,1,4,2] => 5
[2,4,3,1] => [3,1,2,4] => 3
[3,1,2,4] => [2,4,3,1] => 7
[3,1,4,2] => [2,4,1,3] => 5
[3,2,1,4] => [2,3,4,1] => 6
[3,2,4,1] => [2,3,1,4] => 3
[3,4,1,2] => [2,1,4,3] => 2
[3,4,2,1] => [2,1,3,4] => 1
[4,1,2,3] => [1,4,3,2] => 4
[4,1,3,2] => [1,4,2,3] => 3
[4,2,1,3] => [1,3,4,2] => 3
[4,2,3,1] => [1,3,2,4] => 1
[4,3,1,2] => [1,2,4,3] => 1
[4,3,2,1] => [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
click to show known generating functions       
Description
The vector space dimension of $Ext_A^1(I_o,A)$ when $I_o$ is the tilting module corresponding to the permutation $o$ in the Auslander algebra $A$ of $K[x]/(x^n)$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$