edit this statistic or download as text // json
Identifier
Values
[1] => 1
[1,2] => 0
[2,1] => 2
[1,2,3] => 0
[1,3,2] => 1
[2,1,3] => 1
[2,3,1] => 3
[3,1,2] => 0
[3,2,1] => 1
[1,2,3,4] => 0
[1,2,4,3] => 1
[1,3,2,4] => 1
[1,3,4,2] => 2
[1,4,2,3] => 0
[1,4,3,2] => 0
[2,1,3,4] => 1
[2,1,4,3] => 2
[2,3,1,4] => 2
[2,3,4,1] => 4
[2,4,1,3] => 1
[2,4,3,1] => 2
[3,1,2,4] => 0
[3,1,4,2] => 1
[3,2,1,4] => 0
[3,2,4,1] => 2
[3,4,1,2] => 0
[3,4,2,1] => 1
[4,1,2,3] => 0
[4,1,3,2] => 0
[4,2,1,3] => 0
[4,2,3,1] => 1
[4,3,1,2] => 1
[4,3,2,1] => 2
[1,2,3,4,5] => 0
[1,2,3,5,4] => 1
[1,2,4,3,5] => 1
[1,2,4,5,3] => 2
[1,2,5,3,4] => 0
[1,2,5,4,3] => 0
[1,3,2,4,5] => 1
[1,3,2,5,4] => 2
[1,3,4,2,5] => 2
[1,3,4,5,2] => 3
[1,3,5,2,4] => 1
[1,3,5,4,2] => 1
[1,4,2,3,5] => 0
[1,4,2,5,3] => 1
[1,4,3,2,5] => 0
[1,4,3,5,2] => 1
[1,4,5,2,3] => 0
[1,4,5,3,2] => 0
[1,5,2,3,4] => 0
[1,5,2,4,3] => 0
[1,5,3,2,4] => 0
[1,5,3,4,2] => 0
[1,5,4,2,3] => 1
[1,5,4,3,2] => 1
[2,1,3,4,5] => 1
[2,1,3,5,4] => 2
[2,1,4,3,5] => 2
[2,1,4,5,3] => 3
[2,1,5,3,4] => 1
[2,1,5,4,3] => 1
[2,3,1,4,5] => 2
[2,3,1,5,4] => 3
[2,3,4,1,5] => 3
[2,3,4,5,1] => 5
[2,3,5,1,4] => 2
[2,3,5,4,1] => 3
[2,4,1,3,5] => 1
[2,4,1,5,3] => 2
[2,4,3,1,5] => 1
[2,4,3,5,1] => 3
[2,4,5,1,3] => 1
[2,4,5,3,1] => 2
[2,5,1,3,4] => 1
[2,5,1,4,3] => 1
[2,5,3,1,4] => 1
[2,5,3,4,1] => 2
[2,5,4,1,3] => 2
[2,5,4,3,1] => 3
[3,1,2,4,5] => 0
[3,1,2,5,4] => 1
[3,1,4,2,5] => 1
[3,1,4,5,2] => 2
[3,1,5,2,4] => 0
[3,1,5,4,2] => 0
[3,2,1,4,5] => 0
[3,2,1,5,4] => 1
[3,2,4,1,5] => 1
[3,2,4,5,1] => 3
[3,2,5,1,4] => 0
[3,2,5,4,1] => 1
[3,4,1,2,5] => 0
[3,4,1,5,2] => 1
[3,4,2,1,5] => 0
[3,4,2,5,1] => 2
[3,4,5,1,2] => 0
[3,4,5,2,1] => 1
[3,5,1,2,4] => 0
[3,5,1,4,2] => 0
>>> Load all 873 entries. <<<
[3,5,2,1,4] => 0
[3,5,2,4,1] => 1
[3,5,4,1,2] => 1
[3,5,4,2,1] => 2
[4,1,2,3,5] => 0
[4,1,2,5,3] => 1
[4,1,3,2,5] => 0
[4,1,3,5,2] => 1
[4,1,5,2,3] => 0
[4,1,5,3,2] => 0
[4,2,1,3,5] => 0
[4,2,1,5,3] => 1
[4,2,3,1,5] => 0
[4,2,3,5,1] => 2
[4,2,5,1,3] => 0
[4,2,5,3,1] => 1
[4,3,1,2,5] => 1
[4,3,1,5,2] => 2
[4,3,2,1,5] => 1
[4,3,2,5,1] => 3
[4,3,5,1,2] => 1
[4,3,5,2,1] => 2
[4,5,1,2,3] => 0
[4,5,1,3,2] => 0
[4,5,2,1,3] => 0
[4,5,2,3,1] => 1
[4,5,3,1,2] => 0
[4,5,3,2,1] => 1
[5,1,2,3,4] => 0
[5,1,2,4,3] => 0
[5,1,3,2,4] => 0
[5,1,3,4,2] => 0
[5,1,4,2,3] => 1
[5,1,4,3,2] => 1
[5,2,1,3,4] => 0
[5,2,1,4,3] => 0
[5,2,3,1,4] => 0
[5,2,3,4,1] => 1
[5,2,4,1,3] => 1
[5,2,4,3,1] => 2
[5,3,1,2,4] => 1
[5,3,1,4,2] => 1
[5,3,2,1,4] => 1
[5,3,2,4,1] => 2
[5,3,4,1,2] => 2
[5,3,4,2,1] => 3
[5,4,1,2,3] => 0
[5,4,1,3,2] => 0
[5,4,2,1,3] => 0
[5,4,2,3,1] => 1
[5,4,3,1,2] => 0
[5,4,3,2,1] => 1
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => 2
[1,2,3,6,4,5] => 0
[1,2,3,6,5,4] => 0
[1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => 2
[1,2,4,5,3,6] => 2
[1,2,4,5,6,3] => 3
[1,2,4,6,3,5] => 1
[1,2,4,6,5,3] => 1
[1,2,5,3,4,6] => 0
[1,2,5,3,6,4] => 1
[1,2,5,4,3,6] => 0
[1,2,5,4,6,3] => 1
[1,2,5,6,3,4] => 0
[1,2,5,6,4,3] => 0
[1,2,6,3,4,5] => 0
[1,2,6,3,5,4] => 0
[1,2,6,4,3,5] => 0
[1,2,6,4,5,3] => 0
[1,2,6,5,3,4] => 1
[1,2,6,5,4,3] => 1
[1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => 2
[1,3,2,5,4,6] => 2
[1,3,2,5,6,4] => 3
[1,3,2,6,4,5] => 1
[1,3,2,6,5,4] => 1
[1,3,4,2,5,6] => 2
[1,3,4,2,6,5] => 3
[1,3,4,5,2,6] => 3
[1,3,4,5,6,2] => 4
[1,3,4,6,2,5] => 2
[1,3,4,6,5,2] => 2
[1,3,5,2,4,6] => 1
[1,3,5,2,6,4] => 2
[1,3,5,4,2,6] => 1
[1,3,5,4,6,2] => 2
[1,3,5,6,2,4] => 1
[1,3,5,6,4,2] => 1
[1,3,6,2,4,5] => 1
[1,3,6,2,5,4] => 1
[1,3,6,4,2,5] => 1
[1,3,6,4,5,2] => 1
[1,3,6,5,2,4] => 2
[1,3,6,5,4,2] => 2
[1,4,2,3,5,6] => 0
[1,4,2,3,6,5] => 1
[1,4,2,5,3,6] => 1
[1,4,2,5,6,3] => 2
[1,4,2,6,3,5] => 0
[1,4,2,6,5,3] => 0
[1,4,3,2,5,6] => 0
[1,4,3,2,6,5] => 1
[1,4,3,5,2,6] => 1
[1,4,3,5,6,2] => 2
[1,4,3,6,2,5] => 0
[1,4,3,6,5,2] => 0
[1,4,5,2,3,6] => 0
[1,4,5,2,6,3] => 1
[1,4,5,3,2,6] => 0
[1,4,5,3,6,2] => 1
[1,4,5,6,2,3] => 0
[1,4,5,6,3,2] => 0
[1,4,6,2,3,5] => 0
[1,4,6,2,5,3] => 0
[1,4,6,3,2,5] => 0
[1,4,6,3,5,2] => 0
[1,4,6,5,2,3] => 1
[1,4,6,5,3,2] => 1
[1,5,2,3,4,6] => 0
[1,5,2,3,6,4] => 1
[1,5,2,4,3,6] => 0
[1,5,2,4,6,3] => 1
[1,5,2,6,3,4] => 0
[1,5,2,6,4,3] => 0
[1,5,3,2,4,6] => 0
[1,5,3,2,6,4] => 1
[1,5,3,4,2,6] => 0
[1,5,3,4,6,2] => 1
[1,5,3,6,2,4] => 0
[1,5,3,6,4,2] => 0
[1,5,4,2,3,6] => 1
[1,5,4,2,6,3] => 2
[1,5,4,3,2,6] => 1
[1,5,4,3,6,2] => 2
[1,5,4,6,2,3] => 1
[1,5,4,6,3,2] => 1
[1,5,6,2,3,4] => 0
[1,5,6,2,4,3] => 0
[1,5,6,3,2,4] => 0
[1,5,6,3,4,2] => 0
[1,5,6,4,2,3] => 0
[1,5,6,4,3,2] => 0
[1,6,2,3,4,5] => 0
[1,6,2,3,5,4] => 0
[1,6,2,4,3,5] => 0
[1,6,2,4,5,3] => 0
[1,6,2,5,3,4] => 1
[1,6,2,5,4,3] => 1
[1,6,3,2,4,5] => 0
[1,6,3,2,5,4] => 0
[1,6,3,4,2,5] => 0
[1,6,3,4,5,2] => 0
[1,6,3,5,2,4] => 1
[1,6,3,5,4,2] => 1
[1,6,4,2,3,5] => 1
[1,6,4,2,5,3] => 1
[1,6,4,3,2,5] => 1
[1,6,4,3,5,2] => 1
[1,6,4,5,2,3] => 2
[1,6,4,5,3,2] => 2
[1,6,5,2,3,4] => 0
[1,6,5,2,4,3] => 0
[1,6,5,3,2,4] => 0
[1,6,5,3,4,2] => 0
[1,6,5,4,2,3] => 0
[1,6,5,4,3,2] => 0
[2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => 2
[2,1,3,5,4,6] => 2
[2,1,3,5,6,4] => 3
[2,1,3,6,4,5] => 1
[2,1,3,6,5,4] => 1
[2,1,4,3,5,6] => 2
[2,1,4,3,6,5] => 3
[2,1,4,5,3,6] => 3
[2,1,4,5,6,3] => 4
[2,1,4,6,3,5] => 2
[2,1,4,6,5,3] => 2
[2,1,5,3,4,6] => 1
[2,1,5,3,6,4] => 2
[2,1,5,4,3,6] => 1
[2,1,5,4,6,3] => 2
[2,1,5,6,3,4] => 1
[2,1,5,6,4,3] => 1
[2,1,6,3,4,5] => 1
[2,1,6,3,5,4] => 1
[2,1,6,4,3,5] => 1
[2,1,6,4,5,3] => 1
[2,1,6,5,3,4] => 2
[2,1,6,5,4,3] => 2
[2,3,1,4,5,6] => 2
[2,3,1,4,6,5] => 3
[2,3,1,5,4,6] => 3
[2,3,1,5,6,4] => 4
[2,3,1,6,4,5] => 2
[2,3,1,6,5,4] => 2
[2,3,4,1,5,6] => 3
[2,3,4,1,6,5] => 4
[2,3,4,5,1,6] => 4
[2,3,4,5,6,1] => 6
[2,3,4,6,1,5] => 3
[2,3,4,6,5,1] => 4
[2,3,5,1,4,6] => 2
[2,3,5,1,6,4] => 3
[2,3,5,4,1,6] => 2
[2,3,5,4,6,1] => 4
[2,3,5,6,1,4] => 2
[2,3,5,6,4,1] => 3
[2,3,6,1,4,5] => 2
[2,3,6,1,5,4] => 2
[2,3,6,4,1,5] => 2
[2,3,6,4,5,1] => 3
[2,3,6,5,1,4] => 3
[2,3,6,5,4,1] => 4
[2,4,1,3,5,6] => 1
[2,4,1,3,6,5] => 2
[2,4,1,5,3,6] => 2
[2,4,1,5,6,3] => 3
[2,4,1,6,3,5] => 1
[2,4,1,6,5,3] => 1
[2,4,3,1,5,6] => 1
[2,4,3,1,6,5] => 2
[2,4,3,5,1,6] => 2
[2,4,3,5,6,1] => 4
[2,4,3,6,1,5] => 1
[2,4,3,6,5,1] => 2
[2,4,5,1,3,6] => 1
[2,4,5,1,6,3] => 2
[2,4,5,3,1,6] => 1
[2,4,5,3,6,1] => 3
[2,4,5,6,1,3] => 1
[2,4,5,6,3,1] => 2
[2,4,6,1,3,5] => 1
[2,4,6,1,5,3] => 1
[2,4,6,3,1,5] => 1
[2,4,6,3,5,1] => 2
[2,4,6,5,1,3] => 2
[2,4,6,5,3,1] => 3
[2,5,1,3,4,6] => 1
[2,5,1,3,6,4] => 2
[2,5,1,4,3,6] => 1
[2,5,1,4,6,3] => 2
[2,5,1,6,3,4] => 1
[2,5,1,6,4,3] => 1
[2,5,3,1,4,6] => 1
[2,5,3,1,6,4] => 2
[2,5,3,4,1,6] => 1
[2,5,3,4,6,1] => 3
[2,5,3,6,1,4] => 1
[2,5,3,6,4,1] => 2
[2,5,4,1,3,6] => 2
[2,5,4,1,6,3] => 3
[2,5,4,3,1,6] => 2
[2,5,4,3,6,1] => 4
[2,5,4,6,1,3] => 2
[2,5,4,6,3,1] => 3
[2,5,6,1,3,4] => 1
[2,5,6,1,4,3] => 1
[2,5,6,3,1,4] => 1
[2,5,6,3,4,1] => 2
[2,5,6,4,1,3] => 1
[2,5,6,4,3,1] => 2
[2,6,1,3,4,5] => 1
[2,6,1,3,5,4] => 1
[2,6,1,4,3,5] => 1
[2,6,1,4,5,3] => 1
[2,6,1,5,3,4] => 2
[2,6,1,5,4,3] => 2
[2,6,3,1,4,5] => 1
[2,6,3,1,5,4] => 1
[2,6,3,4,1,5] => 1
[2,6,3,4,5,1] => 2
[2,6,3,5,1,4] => 2
[2,6,3,5,4,1] => 3
[2,6,4,1,3,5] => 2
[2,6,4,1,5,3] => 2
[2,6,4,3,1,5] => 2
[2,6,4,3,5,1] => 3
[2,6,4,5,1,3] => 3
[2,6,4,5,3,1] => 4
[2,6,5,1,3,4] => 1
[2,6,5,1,4,3] => 1
[2,6,5,3,1,4] => 1
[2,6,5,3,4,1] => 2
[2,6,5,4,1,3] => 1
[2,6,5,4,3,1] => 2
[3,1,2,4,5,6] => 0
[3,1,2,4,6,5] => 1
[3,1,2,5,4,6] => 1
[3,1,2,5,6,4] => 2
[3,1,2,6,4,5] => 0
[3,1,2,6,5,4] => 0
[3,1,4,2,5,6] => 1
[3,1,4,2,6,5] => 2
[3,1,4,5,2,6] => 2
[3,1,4,5,6,2] => 3
[3,1,4,6,2,5] => 1
[3,1,4,6,5,2] => 1
[3,1,5,2,4,6] => 0
[3,1,5,2,6,4] => 1
[3,1,5,4,2,6] => 0
[3,1,5,4,6,2] => 1
[3,1,5,6,2,4] => 0
[3,1,5,6,4,2] => 0
[3,1,6,2,4,5] => 0
[3,1,6,2,5,4] => 0
[3,1,6,4,2,5] => 0
[3,1,6,4,5,2] => 0
[3,1,6,5,2,4] => 1
[3,1,6,5,4,2] => 1
[3,2,1,4,5,6] => 0
[3,2,1,4,6,5] => 1
[3,2,1,5,4,6] => 1
[3,2,1,5,6,4] => 2
[3,2,1,6,4,5] => 0
[3,2,1,6,5,4] => 0
[3,2,4,1,5,6] => 1
[3,2,4,1,6,5] => 2
[3,2,4,5,1,6] => 2
[3,2,4,5,6,1] => 4
[3,2,4,6,1,5] => 1
[3,2,4,6,5,1] => 2
[3,2,5,1,4,6] => 0
[3,2,5,1,6,4] => 1
[3,2,5,4,1,6] => 0
[3,2,5,4,6,1] => 2
[3,2,5,6,1,4] => 0
[3,2,5,6,4,1] => 1
[3,2,6,1,4,5] => 0
[3,2,6,1,5,4] => 0
[3,2,6,4,1,5] => 0
[3,2,6,4,5,1] => 1
[3,2,6,5,1,4] => 1
[3,2,6,5,4,1] => 2
[3,4,1,2,5,6] => 0
[3,4,1,2,6,5] => 1
[3,4,1,5,2,6] => 1
[3,4,1,5,6,2] => 2
[3,4,1,6,2,5] => 0
[3,4,1,6,5,2] => 0
[3,4,2,1,5,6] => 0
[3,4,2,1,6,5] => 1
[3,4,2,5,1,6] => 1
[3,4,2,5,6,1] => 3
[3,4,2,6,1,5] => 0
[3,4,2,6,5,1] => 1
[3,4,5,1,2,6] => 0
[3,4,5,1,6,2] => 1
[3,4,5,2,1,6] => 0
[3,4,5,2,6,1] => 2
[3,4,5,6,1,2] => 0
[3,4,5,6,2,1] => 1
[3,4,6,1,2,5] => 0
[3,4,6,1,5,2] => 0
[3,4,6,2,1,5] => 0
[3,4,6,2,5,1] => 1
[3,4,6,5,1,2] => 1
[3,4,6,5,2,1] => 2
[3,5,1,2,4,6] => 0
[3,5,1,2,6,4] => 1
[3,5,1,4,2,6] => 0
[3,5,1,4,6,2] => 1
[3,5,1,6,2,4] => 0
[3,5,1,6,4,2] => 0
[3,5,2,1,4,6] => 0
[3,5,2,1,6,4] => 1
[3,5,2,4,1,6] => 0
[3,5,2,4,6,1] => 2
[3,5,2,6,1,4] => 0
[3,5,2,6,4,1] => 1
[3,5,4,1,2,6] => 1
[3,5,4,1,6,2] => 2
[3,5,4,2,1,6] => 1
[3,5,4,2,6,1] => 3
[3,5,4,6,1,2] => 1
[3,5,4,6,2,1] => 2
[3,5,6,1,2,4] => 0
[3,5,6,1,4,2] => 0
[3,5,6,2,1,4] => 0
[3,5,6,2,4,1] => 1
[3,5,6,4,1,2] => 0
[3,5,6,4,2,1] => 1
[3,6,1,2,4,5] => 0
[3,6,1,2,5,4] => 0
[3,6,1,4,2,5] => 0
[3,6,1,4,5,2] => 0
[3,6,1,5,2,4] => 1
[3,6,1,5,4,2] => 1
[3,6,2,1,4,5] => 0
[3,6,2,1,5,4] => 0
[3,6,2,4,1,5] => 0
[3,6,2,4,5,1] => 1
[3,6,2,5,1,4] => 1
[3,6,2,5,4,1] => 2
[3,6,4,1,2,5] => 1
[3,6,4,1,5,2] => 1
[3,6,4,2,1,5] => 1
[3,6,4,2,5,1] => 2
[3,6,4,5,1,2] => 2
[3,6,4,5,2,1] => 3
[3,6,5,1,2,4] => 0
[3,6,5,1,4,2] => 0
[3,6,5,2,1,4] => 0
[3,6,5,2,4,1] => 1
[3,6,5,4,1,2] => 0
[3,6,5,4,2,1] => 1
[4,1,2,3,5,6] => 0
[4,1,2,3,6,5] => 1
[4,1,2,5,3,6] => 1
[4,1,2,5,6,3] => 2
[4,1,2,6,3,5] => 0
[4,1,2,6,5,3] => 0
[4,1,3,2,5,6] => 0
[4,1,3,2,6,5] => 1
[4,1,3,5,2,6] => 1
[4,1,3,5,6,2] => 2
[4,1,3,6,2,5] => 0
[4,1,3,6,5,2] => 0
[4,1,5,2,3,6] => 0
[4,1,5,2,6,3] => 1
[4,1,5,3,2,6] => 0
[4,1,5,3,6,2] => 1
[4,1,5,6,2,3] => 0
[4,1,5,6,3,2] => 0
[4,1,6,2,3,5] => 0
[4,1,6,2,5,3] => 0
[4,1,6,3,2,5] => 0
[4,1,6,3,5,2] => 0
[4,1,6,5,2,3] => 1
[4,1,6,5,3,2] => 1
[4,2,1,3,5,6] => 0
[4,2,1,3,6,5] => 1
[4,2,1,5,3,6] => 1
[4,2,1,5,6,3] => 2
[4,2,1,6,3,5] => 0
[4,2,1,6,5,3] => 0
[4,2,3,1,5,6] => 0
[4,2,3,1,6,5] => 1
[4,2,3,5,1,6] => 1
[4,2,3,5,6,1] => 3
[4,2,3,6,1,5] => 0
[4,2,3,6,5,1] => 1
[4,2,5,1,3,6] => 0
[4,2,5,1,6,3] => 1
[4,2,5,3,1,6] => 0
[4,2,5,3,6,1] => 2
[4,2,5,6,1,3] => 0
[4,2,5,6,3,1] => 1
[4,2,6,1,3,5] => 0
[4,2,6,1,5,3] => 0
[4,2,6,3,1,5] => 0
[4,2,6,3,5,1] => 1
[4,2,6,5,1,3] => 1
[4,2,6,5,3,1] => 2
[4,3,1,2,5,6] => 1
[4,3,1,2,6,5] => 2
[4,3,1,5,2,6] => 2
[4,3,1,5,6,2] => 3
[4,3,1,6,2,5] => 1
[4,3,1,6,5,2] => 1
[4,3,2,1,5,6] => 1
[4,3,2,1,6,5] => 2
[4,3,2,5,1,6] => 2
[4,3,2,5,6,1] => 4
[4,3,2,6,1,5] => 1
[4,3,2,6,5,1] => 2
[4,3,5,1,2,6] => 1
[4,3,5,1,6,2] => 2
[4,3,5,2,1,6] => 1
[4,3,5,2,6,1] => 3
[4,3,5,6,1,2] => 1
[4,3,5,6,2,1] => 2
[4,3,6,1,2,5] => 1
[4,3,6,1,5,2] => 1
[4,3,6,2,1,5] => 1
[4,3,6,2,5,1] => 2
[4,3,6,5,1,2] => 2
[4,3,6,5,2,1] => 3
[4,5,1,2,3,6] => 0
[4,5,1,2,6,3] => 1
[4,5,1,3,2,6] => 0
[4,5,1,3,6,2] => 1
[4,5,1,6,2,3] => 0
[4,5,1,6,3,2] => 0
[4,5,2,1,3,6] => 0
[4,5,2,1,6,3] => 1
[4,5,2,3,1,6] => 0
[4,5,2,3,6,1] => 2
[4,5,2,6,1,3] => 0
[4,5,2,6,3,1] => 1
[4,5,3,1,2,6] => 0
[4,5,3,1,6,2] => 1
[4,5,3,2,1,6] => 0
[4,5,3,2,6,1] => 2
[4,5,3,6,1,2] => 0
[4,5,3,6,2,1] => 1
[4,5,6,1,2,3] => 0
[4,5,6,1,3,2] => 0
[4,5,6,2,1,3] => 0
[4,5,6,2,3,1] => 1
[4,5,6,3,1,2] => 0
[4,5,6,3,2,1] => 1
[4,6,1,2,3,5] => 0
[4,6,1,2,5,3] => 0
[4,6,1,3,2,5] => 0
[4,6,1,3,5,2] => 0
[4,6,1,5,2,3] => 1
[4,6,1,5,3,2] => 1
[4,6,2,1,3,5] => 0
[4,6,2,1,5,3] => 0
[4,6,2,3,1,5] => 0
[4,6,2,3,5,1] => 1
[4,6,2,5,1,3] => 1
[4,6,2,5,3,1] => 2
[4,6,3,1,2,5] => 0
[4,6,3,1,5,2] => 0
[4,6,3,2,1,5] => 0
[4,6,3,2,5,1] => 1
[4,6,3,5,1,2] => 1
[4,6,3,5,2,1] => 2
[4,6,5,1,2,3] => 0
[4,6,5,1,3,2] => 0
[4,6,5,2,1,3] => 0
[4,6,5,2,3,1] => 1
[4,6,5,3,1,2] => 0
[4,6,5,3,2,1] => 1
[5,1,2,3,4,6] => 0
[5,1,2,3,6,4] => 1
[5,1,2,4,3,6] => 0
[5,1,2,4,6,3] => 1
[5,1,2,6,3,4] => 0
[5,1,2,6,4,3] => 0
[5,1,3,2,4,6] => 0
[5,1,3,2,6,4] => 1
[5,1,3,4,2,6] => 0
[5,1,3,4,6,2] => 1
[5,1,3,6,2,4] => 0
[5,1,3,6,4,2] => 0
[5,1,4,2,3,6] => 1
[5,1,4,2,6,3] => 2
[5,1,4,3,2,6] => 1
[5,1,4,3,6,2] => 2
[5,1,4,6,2,3] => 1
[5,1,4,6,3,2] => 1
[5,1,6,2,3,4] => 0
[5,1,6,2,4,3] => 0
[5,1,6,3,2,4] => 0
[5,1,6,3,4,2] => 0
[5,1,6,4,2,3] => 0
[5,1,6,4,3,2] => 0
[5,2,1,3,4,6] => 0
[5,2,1,3,6,4] => 1
[5,2,1,4,3,6] => 0
[5,2,1,4,6,3] => 1
[5,2,1,6,3,4] => 0
[5,2,1,6,4,3] => 0
[5,2,3,1,4,6] => 0
[5,2,3,1,6,4] => 1
[5,2,3,4,1,6] => 0
[5,2,3,4,6,1] => 2
[5,2,3,6,1,4] => 0
[5,2,3,6,4,1] => 1
[5,2,4,1,3,6] => 1
[5,2,4,1,6,3] => 2
[5,2,4,3,1,6] => 1
[5,2,4,3,6,1] => 3
[5,2,4,6,1,3] => 1
[5,2,4,6,3,1] => 2
[5,2,6,1,3,4] => 0
[5,2,6,1,4,3] => 0
[5,2,6,3,1,4] => 0
[5,2,6,3,4,1] => 1
[5,2,6,4,1,3] => 0
[5,2,6,4,3,1] => 1
[5,3,1,2,4,6] => 1
[5,3,1,2,6,4] => 2
[5,3,1,4,2,6] => 1
[5,3,1,4,6,2] => 2
[5,3,1,6,2,4] => 1
[5,3,1,6,4,2] => 1
[5,3,2,1,4,6] => 1
[5,3,2,1,6,4] => 2
[5,3,2,4,1,6] => 1
[5,3,2,4,6,1] => 3
[5,3,2,6,1,4] => 1
[5,3,2,6,4,1] => 2
[5,3,4,1,2,6] => 2
[5,3,4,1,6,2] => 3
[5,3,4,2,1,6] => 2
[5,3,4,2,6,1] => 4
[5,3,4,6,1,2] => 2
[5,3,4,6,2,1] => 3
[5,3,6,1,2,4] => 1
[5,3,6,1,4,2] => 1
[5,3,6,2,1,4] => 1
[5,3,6,2,4,1] => 2
[5,3,6,4,1,2] => 1
[5,3,6,4,2,1] => 2
[5,4,1,2,3,6] => 0
[5,4,1,2,6,3] => 1
[5,4,1,3,2,6] => 0
[5,4,1,3,6,2] => 1
[5,4,1,6,2,3] => 0
[5,4,1,6,3,2] => 0
[5,4,2,1,3,6] => 0
[5,4,2,1,6,3] => 1
[5,4,2,3,1,6] => 0
[5,4,2,3,6,1] => 2
[5,4,2,6,1,3] => 0
[5,4,2,6,3,1] => 1
[5,4,3,1,2,6] => 0
[5,4,3,1,6,2] => 1
[5,4,3,2,1,6] => 0
[5,4,3,2,6,1] => 2
[5,4,3,6,1,2] => 0
[5,4,3,6,2,1] => 1
[5,4,6,1,2,3] => 0
[5,4,6,1,3,2] => 0
[5,4,6,2,1,3] => 0
[5,4,6,2,3,1] => 1
[5,4,6,3,1,2] => 0
[5,4,6,3,2,1] => 1
[5,6,1,2,3,4] => 0
[5,6,1,2,4,3] => 0
[5,6,1,3,2,4] => 0
[5,6,1,3,4,2] => 0
[5,6,1,4,2,3] => 0
[5,6,1,4,3,2] => 0
[5,6,2,1,3,4] => 0
[5,6,2,1,4,3] => 0
[5,6,2,3,1,4] => 0
[5,6,2,3,4,1] => 1
[5,6,2,4,1,3] => 0
[5,6,2,4,3,1] => 1
[5,6,3,1,2,4] => 0
[5,6,3,1,4,2] => 0
[5,6,3,2,1,4] => 0
[5,6,3,2,4,1] => 1
[5,6,3,4,1,2] => 0
[5,6,3,4,2,1] => 1
[5,6,4,1,2,3] => 1
[5,6,4,1,3,2] => 1
[5,6,4,2,1,3] => 1
[5,6,4,2,3,1] => 2
[5,6,4,3,1,2] => 1
[5,6,4,3,2,1] => 2
[6,1,2,3,4,5] => 0
[6,1,2,3,5,4] => 0
[6,1,2,4,3,5] => 0
[6,1,2,4,5,3] => 0
[6,1,2,5,3,4] => 1
[6,1,2,5,4,3] => 1
[6,1,3,2,4,5] => 0
[6,1,3,2,5,4] => 0
[6,1,3,4,2,5] => 0
[6,1,3,4,5,2] => 0
[6,1,3,5,2,4] => 1
[6,1,3,5,4,2] => 1
[6,1,4,2,3,5] => 1
[6,1,4,2,5,3] => 1
[6,1,4,3,2,5] => 1
[6,1,4,3,5,2] => 1
[6,1,4,5,2,3] => 2
[6,1,4,5,3,2] => 2
[6,1,5,2,3,4] => 0
[6,1,5,2,4,3] => 0
[6,1,5,3,2,4] => 0
[6,1,5,3,4,2] => 0
[6,1,5,4,2,3] => 0
[6,1,5,4,3,2] => 0
[6,2,1,3,4,5] => 0
[6,2,1,3,5,4] => 0
[6,2,1,4,3,5] => 0
[6,2,1,4,5,3] => 0
[6,2,1,5,3,4] => 1
[6,2,1,5,4,3] => 1
[6,2,3,1,4,5] => 0
[6,2,3,1,5,4] => 0
[6,2,3,4,1,5] => 0
[6,2,3,4,5,1] => 1
[6,2,3,5,1,4] => 1
[6,2,3,5,4,1] => 2
[6,2,4,1,3,5] => 1
[6,2,4,1,5,3] => 1
[6,2,4,3,1,5] => 1
[6,2,4,3,5,1] => 2
[6,2,4,5,1,3] => 2
[6,2,4,5,3,1] => 3
[6,2,5,1,3,4] => 0
[6,2,5,1,4,3] => 0
[6,2,5,3,1,4] => 0
[6,2,5,3,4,1] => 1
[6,2,5,4,1,3] => 0
[6,2,5,4,3,1] => 1
[6,3,1,2,4,5] => 1
[6,3,1,2,5,4] => 1
[6,3,1,4,2,5] => 1
[6,3,1,4,5,2] => 1
[6,3,1,5,2,4] => 2
[6,3,1,5,4,2] => 2
[6,3,2,1,4,5] => 1
[6,3,2,1,5,4] => 1
[6,3,2,4,1,5] => 1
[6,3,2,4,5,1] => 2
[6,3,2,5,1,4] => 2
[6,3,2,5,4,1] => 3
[6,3,4,1,2,5] => 2
[6,3,4,1,5,2] => 2
[6,3,4,2,1,5] => 2
[6,3,4,2,5,1] => 3
[6,3,4,5,1,2] => 3
[6,3,4,5,2,1] => 4
[6,3,5,1,2,4] => 1
[6,3,5,1,4,2] => 1
[6,3,5,2,1,4] => 1
[6,3,5,2,4,1] => 2
[6,3,5,4,1,2] => 1
[6,3,5,4,2,1] => 2
[6,4,1,2,3,5] => 0
[6,4,1,2,5,3] => 0
[6,4,1,3,2,5] => 0
[6,4,1,3,5,2] => 0
[6,4,1,5,2,3] => 1
[6,4,1,5,3,2] => 1
[6,4,2,1,3,5] => 0
[6,4,2,1,5,3] => 0
[6,4,2,3,1,5] => 0
[6,4,2,3,5,1] => 1
[6,4,2,5,1,3] => 1
[6,4,2,5,3,1] => 2
[6,4,3,1,2,5] => 0
[6,4,3,1,5,2] => 0
[6,4,3,2,1,5] => 0
[6,4,3,2,5,1] => 1
[6,4,3,5,1,2] => 1
[6,4,3,5,2,1] => 2
[6,4,5,1,2,3] => 0
[6,4,5,1,3,2] => 0
[6,4,5,2,1,3] => 0
[6,4,5,2,3,1] => 1
[6,4,5,3,1,2] => 0
[6,4,5,3,2,1] => 1
[6,5,1,2,3,4] => 0
[6,5,1,2,4,3] => 0
[6,5,1,3,2,4] => 0
[6,5,1,3,4,2] => 0
[6,5,1,4,2,3] => 0
[6,5,1,4,3,2] => 0
[6,5,2,1,3,4] => 0
[6,5,2,1,4,3] => 0
[6,5,2,3,1,4] => 0
[6,5,2,3,4,1] => 1
[6,5,2,4,1,3] => 0
[6,5,2,4,3,1] => 1
[6,5,3,1,2,4] => 0
[6,5,3,1,4,2] => 0
[6,5,3,2,1,4] => 0
[6,5,3,2,4,1] => 1
[6,5,3,4,1,2] => 0
[6,5,3,4,2,1] => 1
[6,5,4,1,2,3] => 1
[6,5,4,1,3,2] => 1
[6,5,4,2,1,3] => 1
[6,5,4,2,3,1] => 2
[6,5,4,3,1,2] => 1
[6,5,4,3,2,1] => 2
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 number of cyclical small excedances.
A cyclical small excedance is an index $i$ such that $\pi_i = i+1$ considered cyclically.
Code
def statistic(pi):
        n = len(pi)
        return sum( 1 for i in range(n) if pi[i] == ( (i+1) % n + 1 ) )
Created
Feb 27, 2015 at 09:32 by Christian Stump
Updated
May 22, 2023 at 23:21 by Will Dowling