Identifier
Values
[1] => [1] => 1
[1,1] => [1,1] => 1
[2] => [2] => 1
[1,1,1] => [1,1,1] => 1
[1,2] => [2,1] => 1
[2,1] => [1,2] => 1
[3] => [3] => 1
[1,1,1,1] => [1,1,1,1] => 1
[1,1,2] => [2,1,1] => 1
[1,2,1] => [1,2,1] => 1
[1,3] => [3,1] => 1
[2,1,1] => [1,1,2] => 1
[2,2] => [2,2] => 2
[3,1] => [1,3] => 2
[4] => [4] => 1
[1,1,1,1,1] => [1,1,1,1,1] => 1
[1,1,1,2] => [2,1,1,1] => 1
[1,1,2,1] => [1,2,1,1] => 1
[1,1,3] => [3,1,1] => 1
[1,2,1,1] => [1,1,2,1] => 1
[1,2,2] => [2,2,1] => 2
[1,3,1] => [1,3,1] => 2
[1,4] => [4,1] => 1
[2,1,1,1] => [1,1,1,2] => 1
[2,1,2] => [2,1,2] => 1
[2,2,1] => [1,2,2] => 2
[2,3] => [3,2] => 3
[3,1,1] => [1,1,3] => 3
[3,2] => [2,3] => 2
[4,1] => [1,4] => 3
[5] => [5] => 1
[1,1,1,1,1,1] => [1,1,1,1,1,1] => 1
[1,1,1,1,2] => [2,1,1,1,1] => 1
[1,1,1,2,1] => [1,2,1,1,1] => 1
[1,1,1,3] => [3,1,1,1] => 1
[1,1,2,1,1] => [1,1,2,1,1] => 1
[1,1,2,2] => [2,2,1,1] => 2
[1,1,3,1] => [1,3,1,1] => 2
[1,1,4] => [4,1,1] => 1
[1,2,1,1,1] => [1,1,1,2,1] => 1
[1,2,1,2] => [2,1,2,1] => 1
[1,2,2,1] => [1,2,2,1] => 2
[1,2,3] => [3,2,1] => 3
[1,3,1,1] => [1,1,3,1] => 3
[1,3,2] => [2,3,1] => 2
[1,4,1] => [1,4,1] => 3
[1,5] => [5,1] => 1
[2,1,1,1,1] => [1,1,1,1,2] => 1
[2,1,1,2] => [2,1,1,2] => 1
[2,1,2,1] => [1,2,1,2] => 1
[2,1,3] => [3,1,2] => 1
[2,2,1,1] => [1,1,2,2] => 2
[2,2,2] => [2,2,2] => 5
[2,3,1] => [1,3,2] => 5
[2,4] => [4,2] => 4
[3,1,1,1] => [1,1,1,3] => 4
[3,1,2] => [2,1,3] => 3
[3,2,1] => [1,2,3] => 2
[3,3] => [3,3] => 5
[4,1,1] => [1,1,4] => 6
[4,2] => [2,4] => 5
[5,1] => [1,5] => 4
[6] => [6] => 1
[1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 1
[1,1,1,1,1,2] => [2,1,1,1,1,1] => 1
[1,1,1,1,2,1] => [1,2,1,1,1,1] => 1
[1,1,1,1,3] => [3,1,1,1,1] => 1
[1,1,1,2,1,1] => [1,1,2,1,1,1] => 1
[1,1,1,2,2] => [2,2,1,1,1] => 2
[1,1,1,3,1] => [1,3,1,1,1] => 2
[1,1,1,4] => [4,1,1,1] => 1
[1,1,2,1,1,1] => [1,1,1,2,1,1] => 1
[1,1,2,1,2] => [2,1,2,1,1] => 1
[1,1,2,2,1] => [1,2,2,1,1] => 2
[1,1,2,3] => [3,2,1,1] => 3
[1,1,3,1,1] => [1,1,3,1,1] => 3
[1,1,3,2] => [2,3,1,1] => 2
[1,1,4,1] => [1,4,1,1] => 3
[1,1,5] => [5,1,1] => 1
[1,2,1,1,1,1] => [1,1,1,1,2,1] => 1
[1,2,1,1,2] => [2,1,1,2,1] => 1
[1,2,1,2,1] => [1,2,1,2,1] => 1
[1,2,1,3] => [3,1,2,1] => 1
[1,2,2,1,1] => [1,1,2,2,1] => 2
[1,2,2,2] => [2,2,2,1] => 5
[1,2,3,1] => [1,3,2,1] => 5
[1,2,4] => [4,2,1] => 4
[1,3,1,1,1] => [1,1,1,3,1] => 4
[1,3,1,2] => [2,1,3,1] => 3
[1,3,2,1] => [1,2,3,1] => 2
[1,3,3] => [3,3,1] => 5
[1,4,1,1] => [1,1,4,1] => 6
[1,4,2] => [2,4,1] => 5
[1,5,1] => [1,5,1] => 4
[1,6] => [6,1] => 1
[2,1,1,1,1,1] => [1,1,1,1,1,2] => 1
[2,1,1,1,2] => [2,1,1,1,2] => 1
[2,1,1,2,1] => [1,2,1,1,2] => 1
[2,1,1,3] => [3,1,1,2] => 1
[2,1,2,1,1] => [1,1,2,1,2] => 1
[2,1,2,2] => [2,2,1,2] => 2
>>> Load all 511 entries. <<<
[2,1,3,1] => [1,3,1,2] => 2
[2,1,4] => [4,1,2] => 1
[2,2,1,1,1] => [1,1,1,2,2] => 2
[2,2,1,2] => [2,1,2,2] => 2
[2,2,2,1] => [1,2,2,2] => 5
[2,2,3] => [3,2,2] => 9
[2,3,1,1] => [1,1,3,2] => 7
[2,3,2] => [2,3,2] => 7
[2,4,1] => [1,4,2] => 9
[2,5] => [5,2] => 5
[3,1,1,1,1] => [1,1,1,1,3] => 5
[3,1,1,2] => [2,1,1,3] => 4
[3,1,2,1] => [1,2,1,3] => 3
[3,1,3] => [3,1,3] => 4
[3,2,1,1] => [1,1,2,3] => 2
[3,2,2] => [2,2,3] => 5
[3,3,1] => [1,3,3] => 12
[3,4] => [4,3] => 9
[4,1,1,1] => [1,1,1,4] => 10
[4,1,2] => [2,1,4] => 9
[4,2,1] => [1,2,4] => 7
[4,3] => [3,4] => 5
[5,1,1] => [1,1,5] => 10
[5,2] => [2,5] => 9
[6,1] => [1,6] => 5
[7] => [7] => 1
[1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,2] => [2,1,1,1,1,1,1] => 1
[1,1,1,1,1,2,1] => [1,2,1,1,1,1,1] => 1
[1,1,1,1,1,3] => [3,1,1,1,1,1] => 1
[1,1,1,1,2,1,1] => [1,1,2,1,1,1,1] => 1
[1,1,1,1,2,2] => [2,2,1,1,1,1] => 2
[1,1,1,1,3,1] => [1,3,1,1,1,1] => 2
[1,1,1,1,4] => [4,1,1,1,1] => 1
[1,1,1,2,1,1,1] => [1,1,1,2,1,1,1] => 1
[1,1,1,2,1,2] => [2,1,2,1,1,1] => 1
[1,1,1,2,2,1] => [1,2,2,1,1,1] => 2
[1,1,1,2,3] => [3,2,1,1,1] => 3
[1,1,1,3,1,1] => [1,1,3,1,1,1] => 3
[1,1,1,3,2] => [2,3,1,1,1] => 2
[1,1,1,4,1] => [1,4,1,1,1] => 3
[1,1,1,5] => [5,1,1,1] => 1
[1,1,2,1,1,1,1] => [1,1,1,1,2,1,1] => 1
[1,1,2,1,1,2] => [2,1,1,2,1,1] => 1
[1,1,2,1,2,1] => [1,2,1,2,1,1] => 1
[1,1,2,1,3] => [3,1,2,1,1] => 1
[1,1,2,2,1,1] => [1,1,2,2,1,1] => 2
[1,1,2,2,2] => [2,2,2,1,1] => 5
[1,1,2,3,1] => [1,3,2,1,1] => 5
[1,1,2,4] => [4,2,1,1] => 4
[1,1,3,1,1,1] => [1,1,1,3,1,1] => 4
[1,1,3,1,2] => [2,1,3,1,1] => 3
[1,1,3,2,1] => [1,2,3,1,1] => 2
[1,1,3,3] => [3,3,1,1] => 5
[1,1,4,1,1] => [1,1,4,1,1] => 6
[1,1,4,2] => [2,4,1,1] => 5
[1,1,5,1] => [1,5,1,1] => 4
[1,1,6] => [6,1,1] => 1
[1,2,1,1,1,1,1] => [1,1,1,1,1,2,1] => 1
[1,2,1,1,1,2] => [2,1,1,1,2,1] => 1
[1,2,1,1,2,1] => [1,2,1,1,2,1] => 1
[1,2,1,1,3] => [3,1,1,2,1] => 1
[1,2,1,2,1,1] => [1,1,2,1,2,1] => 1
[1,2,1,2,2] => [2,2,1,2,1] => 2
[1,2,1,3,1] => [1,3,1,2,1] => 2
[1,2,1,4] => [4,1,2,1] => 1
[1,2,2,1,1,1] => [1,1,1,2,2,1] => 2
[1,2,2,1,2] => [2,1,2,2,1] => 2
[1,2,2,2,1] => [1,2,2,2,1] => 5
[1,2,2,3] => [3,2,2,1] => 9
[1,2,3,1,1] => [1,1,3,2,1] => 7
[1,2,3,2] => [2,3,2,1] => 7
[1,2,4,1] => [1,4,2,1] => 9
[1,2,5] => [5,2,1] => 5
[1,3,1,1,1,1] => [1,1,1,1,3,1] => 5
[1,3,1,1,2] => [2,1,1,3,1] => 4
[1,3,1,2,1] => [1,2,1,3,1] => 3
[1,3,1,3] => [3,1,3,1] => 4
[1,3,2,1,1] => [1,1,2,3,1] => 2
[1,3,2,2] => [2,2,3,1] => 5
[1,3,3,1] => [1,3,3,1] => 12
[1,3,4] => [4,3,1] => 9
[1,4,1,1,1] => [1,1,1,4,1] => 10
[1,4,1,2] => [2,1,4,1] => 9
[1,4,2,1] => [1,2,4,1] => 7
[1,4,3] => [3,4,1] => 5
[1,5,1,1] => [1,1,5,1] => 10
[1,5,2] => [2,5,1] => 9
[1,6,1] => [1,6,1] => 5
[1,7] => [7,1] => 1
[2,1,1,1,1,1,1] => [1,1,1,1,1,1,2] => 1
[2,1,1,1,1,2] => [2,1,1,1,1,2] => 1
[2,1,1,1,2,1] => [1,2,1,1,1,2] => 1
[2,1,1,1,3] => [3,1,1,1,2] => 1
[2,1,1,2,1,1] => [1,1,2,1,1,2] => 1
[2,1,1,2,2] => [2,2,1,1,2] => 2
[2,1,1,3,1] => [1,3,1,1,2] => 2
[2,1,1,4] => [4,1,1,2] => 1
[2,1,2,1,1,1] => [1,1,1,2,1,2] => 1
[2,1,2,1,2] => [2,1,2,1,2] => 1
[2,1,2,2,1] => [1,2,2,1,2] => 2
[2,1,2,3] => [3,2,1,2] => 3
[2,1,3,1,1] => [1,1,3,1,2] => 3
[2,1,3,2] => [2,3,1,2] => 2
[2,1,4,1] => [1,4,1,2] => 3
[2,1,5] => [5,1,2] => 1
[2,2,1,1,1,1] => [1,1,1,1,2,2] => 2
[2,2,1,1,2] => [2,1,1,2,2] => 2
[2,2,1,2,1] => [1,2,1,2,2] => 2
[2,2,1,3] => [3,1,2,2] => 2
[2,2,2,1,1] => [1,1,2,2,2] => 5
[2,2,2,2] => [2,2,2,2] => 14
[2,2,3,1] => [1,3,2,2] => 14
[2,2,4] => [4,2,2] => 14
[2,3,1,1,1] => [1,1,1,3,2] => 9
[2,3,1,2] => [2,1,3,2] => 7
[2,3,2,1] => [1,2,3,2] => 7
[2,3,3] => [3,3,2] => 21
[2,4,1,1] => [1,1,4,2] => 16
[2,4,2] => [2,4,2] => 21
[2,5,1] => [1,5,2] => 14
[2,6] => [6,2] => 6
[3,1,1,1,1,1] => [1,1,1,1,1,3] => 6
[3,1,1,1,2] => [2,1,1,1,3] => 5
[3,1,1,2,1] => [1,2,1,1,3] => 4
[3,1,1,3] => [3,1,1,3] => 5
[3,1,2,1,1] => [1,1,2,1,3] => 3
[3,1,2,2] => [2,2,1,3] => 7
[3,1,3,1] => [1,3,1,3] => 9
[3,1,4] => [4,1,3] => 5
[3,2,1,1,1] => [1,1,1,2,3] => 2
[3,2,1,2] => [2,1,2,3] => 2
[3,2,2,1] => [1,2,2,3] => 5
[3,2,3] => [3,2,3] => 9
[3,3,1,1] => [1,1,3,3] => 21
[3,3,2] => [2,3,3] => 12
[3,4,1] => [1,4,3] => 30
[3,5] => [5,3] => 14
[4,1,1,1,1] => [1,1,1,1,4] => 15
[4,1,1,2] => [2,1,1,4] => 14
[4,1,2,1] => [1,2,1,4] => 12
[4,1,3] => [3,1,4] => 9
[4,2,1,1] => [1,1,2,4] => 9
[4,2,2] => [2,2,4] => 21
[4,3,1] => [1,3,4] => 12
[4,4] => [4,4] => 14
[5,1,1,1] => [1,1,1,5] => 20
[5,1,2] => [2,1,5] => 19
[5,2,1] => [1,2,5] => 16
[5,3] => [3,5] => 14
[6,1,1] => [1,1,6] => 15
[6,2] => [2,6] => 14
[7,1] => [1,7] => 6
[8] => [8] => 1
[1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,1,2] => [2,1,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,2,1] => [1,2,1,1,1,1,1,1] => 1
[1,1,1,1,1,1,3] => [3,1,1,1,1,1,1] => 1
[1,1,1,1,1,2,1,1] => [1,1,2,1,1,1,1,1] => 1
[1,1,1,1,1,2,2] => [2,2,1,1,1,1,1] => 2
[1,1,1,1,1,3,1] => [1,3,1,1,1,1,1] => 2
[1,1,1,1,1,4] => [4,1,1,1,1,1] => 1
[1,1,1,1,2,1,1,1] => [1,1,1,2,1,1,1,1] => 1
[1,1,1,1,2,1,2] => [2,1,2,1,1,1,1] => 1
[1,1,1,1,2,2,1] => [1,2,2,1,1,1,1] => 2
[1,1,1,1,2,3] => [3,2,1,1,1,1] => 3
[1,1,1,1,3,1,1] => [1,1,3,1,1,1,1] => 3
[1,1,1,1,3,2] => [2,3,1,1,1,1] => 2
[1,1,1,1,4,1] => [1,4,1,1,1,1] => 3
[1,1,1,1,5] => [5,1,1,1,1] => 1
[1,1,1,2,1,1,1,1] => [1,1,1,1,2,1,1,1] => 1
[1,1,1,2,1,1,2] => [2,1,1,2,1,1,1] => 1
[1,1,1,2,1,2,1] => [1,2,1,2,1,1,1] => 1
[1,1,1,2,1,3] => [3,1,2,1,1,1] => 1
[1,1,1,2,2,1,1] => [1,1,2,2,1,1,1] => 2
[1,1,1,2,2,2] => [2,2,2,1,1,1] => 5
[1,1,1,2,3,1] => [1,3,2,1,1,1] => 5
[1,1,1,2,4] => [4,2,1,1,1] => 4
[1,1,1,3,1,1,1] => [1,1,1,3,1,1,1] => 4
[1,1,1,3,1,2] => [2,1,3,1,1,1] => 3
[1,1,1,3,2,1] => [1,2,3,1,1,1] => 2
[1,1,1,3,3] => [3,3,1,1,1] => 5
[1,1,1,4,1,1] => [1,1,4,1,1,1] => 6
[1,1,1,4,2] => [2,4,1,1,1] => 5
[1,1,1,5,1] => [1,5,1,1,1] => 4
[1,1,1,6] => [6,1,1,1] => 1
[1,1,2,1,1,1,1,1] => [1,1,1,1,1,2,1,1] => 1
[1,1,2,1,1,1,2] => [2,1,1,1,2,1,1] => 1
[1,1,2,1,1,2,1] => [1,2,1,1,2,1,1] => 1
[1,1,2,1,1,3] => [3,1,1,2,1,1] => 1
[1,1,2,1,2,1,1] => [1,1,2,1,2,1,1] => 1
[1,1,2,1,2,2] => [2,2,1,2,1,1] => 2
[1,1,2,1,3,1] => [1,3,1,2,1,1] => 2
[1,1,2,1,4] => [4,1,2,1,1] => 1
[1,1,2,2,1,1,1] => [1,1,1,2,2,1,1] => 2
[1,1,2,2,1,2] => [2,1,2,2,1,1] => 2
[1,1,2,2,2,1] => [1,2,2,2,1,1] => 5
[1,1,2,2,3] => [3,2,2,1,1] => 9
[1,1,2,3,1,1] => [1,1,3,2,1,1] => 7
[1,1,2,3,2] => [2,3,2,1,1] => 7
[1,1,2,4,1] => [1,4,2,1,1] => 9
[1,1,2,5] => [5,2,1,1] => 5
[1,1,3,1,1,1,1] => [1,1,1,1,3,1,1] => 5
[1,1,3,1,1,2] => [2,1,1,3,1,1] => 4
[1,1,3,1,2,1] => [1,2,1,3,1,1] => 3
[1,1,3,1,3] => [3,1,3,1,1] => 4
[1,1,3,2,1,1] => [1,1,2,3,1,1] => 2
[1,1,3,2,2] => [2,2,3,1,1] => 5
[1,1,3,3,1] => [1,3,3,1,1] => 12
[1,1,3,4] => [4,3,1,1] => 9
[1,1,4,1,1,1] => [1,1,1,4,1,1] => 10
[1,1,4,1,2] => [2,1,4,1,1] => 9
[1,1,4,2,1] => [1,2,4,1,1] => 7
[1,1,4,3] => [3,4,1,1] => 5
[1,1,5,1,1] => [1,1,5,1,1] => 10
[1,1,5,2] => [2,5,1,1] => 9
[1,1,6,1] => [1,6,1,1] => 5
[1,1,7] => [7,1,1] => 1
[1,2,1,1,1,1,1,1] => [1,1,1,1,1,1,2,1] => 1
[1,2,1,1,1,1,2] => [2,1,1,1,1,2,1] => 1
[1,2,1,1,1,2,1] => [1,2,1,1,1,2,1] => 1
[1,2,1,1,1,3] => [3,1,1,1,2,1] => 1
[1,2,1,1,2,1,1] => [1,1,2,1,1,2,1] => 1
[1,2,1,1,2,2] => [2,2,1,1,2,1] => 2
[1,2,1,1,3,1] => [1,3,1,1,2,1] => 2
[1,2,1,1,4] => [4,1,1,2,1] => 1
[1,2,1,2,1,1,1] => [1,1,1,2,1,2,1] => 1
[1,2,1,2,1,2] => [2,1,2,1,2,1] => 1
[1,2,1,2,2,1] => [1,2,2,1,2,1] => 2
[1,2,1,2,3] => [3,2,1,2,1] => 3
[1,2,1,3,1,1] => [1,1,3,1,2,1] => 3
[1,2,1,3,2] => [2,3,1,2,1] => 2
[1,2,1,4,1] => [1,4,1,2,1] => 3
[1,2,1,5] => [5,1,2,1] => 1
[1,2,2,1,1,1,1] => [1,1,1,1,2,2,1] => 2
[1,2,2,1,1,2] => [2,1,1,2,2,1] => 2
[1,2,2,1,2,1] => [1,2,1,2,2,1] => 2
[1,2,2,1,3] => [3,1,2,2,1] => 2
[1,2,2,2,1,1] => [1,1,2,2,2,1] => 5
[1,2,2,2,2] => [2,2,2,2,1] => 14
[1,2,2,3,1] => [1,3,2,2,1] => 14
[1,2,2,4] => [4,2,2,1] => 14
[1,2,3,1,1,1] => [1,1,1,3,2,1] => 9
[1,2,3,1,2] => [2,1,3,2,1] => 7
[1,2,3,2,1] => [1,2,3,2,1] => 7
[1,2,3,3] => [3,3,2,1] => 21
[1,2,4,1,1] => [1,1,4,2,1] => 16
[1,2,4,2] => [2,4,2,1] => 21
[1,2,5,1] => [1,5,2,1] => 14
[1,2,6] => [6,2,1] => 6
[1,3,1,1,1,1,1] => [1,1,1,1,1,3,1] => 6
[1,3,1,1,1,2] => [2,1,1,1,3,1] => 5
[1,3,1,1,2,1] => [1,2,1,1,3,1] => 4
[1,3,1,1,3] => [3,1,1,3,1] => 5
[1,3,1,2,1,1] => [1,1,2,1,3,1] => 3
[1,3,1,2,2] => [2,2,1,3,1] => 7
[1,3,1,3,1] => [1,3,1,3,1] => 9
[1,3,1,4] => [4,1,3,1] => 5
[1,3,2,1,1,1] => [1,1,1,2,3,1] => 2
[1,3,2,1,2] => [2,1,2,3,1] => 2
[1,3,2,2,1] => [1,2,2,3,1] => 5
[1,3,2,3] => [3,2,3,1] => 9
[1,3,3,1,1] => [1,1,3,3,1] => 21
[1,3,3,2] => [2,3,3,1] => 12
[1,3,4,1] => [1,4,3,1] => 30
[1,3,5] => [5,3,1] => 14
[1,4,1,1,1,1] => [1,1,1,1,4,1] => 15
[1,4,1,1,2] => [2,1,1,4,1] => 14
[1,4,1,2,1] => [1,2,1,4,1] => 12
[1,4,1,3] => [3,1,4,1] => 9
[1,4,2,1,1] => [1,1,2,4,1] => 9
[1,4,2,2] => [2,2,4,1] => 21
[1,4,3,1] => [1,3,4,1] => 12
[1,4,4] => [4,4,1] => 14
[1,5,1,1,1] => [1,1,1,5,1] => 20
[1,5,1,2] => [2,1,5,1] => 19
[1,5,2,1] => [1,2,5,1] => 16
[1,5,3] => [3,5,1] => 14
[1,6,1,1] => [1,1,6,1] => 15
[1,6,2] => [2,6,1] => 14
[1,7,1] => [1,7,1] => 6
[1,8] => [8,1] => 1
[2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,2] => 1
[2,1,1,1,1,1,2] => [2,1,1,1,1,1,2] => 1
[2,1,1,1,1,2,1] => [1,2,1,1,1,1,2] => 1
[2,1,1,1,1,3] => [3,1,1,1,1,2] => 1
[2,1,1,1,2,1,1] => [1,1,2,1,1,1,2] => 1
[2,1,1,1,2,2] => [2,2,1,1,1,2] => 2
[2,1,1,1,3,1] => [1,3,1,1,1,2] => 2
[2,1,1,1,4] => [4,1,1,1,2] => 1
[2,1,1,2,1,1,1] => [1,1,1,2,1,1,2] => 1
[2,1,1,2,1,2] => [2,1,2,1,1,2] => 1
[2,1,1,2,2,1] => [1,2,2,1,1,2] => 2
[2,1,1,2,3] => [3,2,1,1,2] => 3
[2,1,1,3,1,1] => [1,1,3,1,1,2] => 3
[2,1,1,3,2] => [2,3,1,1,2] => 2
[2,1,1,4,1] => [1,4,1,1,2] => 3
[2,1,1,5] => [5,1,1,2] => 1
[2,1,2,1,1,1,1] => [1,1,1,1,2,1,2] => 1
[2,1,2,1,1,2] => [2,1,1,2,1,2] => 1
[2,1,2,1,2,1] => [1,2,1,2,1,2] => 1
[2,1,2,1,3] => [3,1,2,1,2] => 1
[2,1,2,2,1,1] => [1,1,2,2,1,2] => 2
[2,1,2,2,2] => [2,2,2,1,2] => 5
[2,1,2,3,1] => [1,3,2,1,2] => 5
[2,1,2,4] => [4,2,1,2] => 4
[2,1,3,1,1,1] => [1,1,1,3,1,2] => 4
[2,1,3,1,2] => [2,1,3,1,2] => 3
[2,1,3,2,1] => [1,2,3,1,2] => 2
[2,1,3,3] => [3,3,1,2] => 5
[2,1,4,1,1] => [1,1,4,1,2] => 6
[2,1,4,2] => [2,4,1,2] => 5
[2,1,5,1] => [1,5,1,2] => 4
[2,1,6] => [6,1,2] => 1
[2,2,1,1,1,1,1] => [1,1,1,1,1,2,2] => 2
[2,2,1,1,1,2] => [2,1,1,1,2,2] => 2
[2,2,1,1,2,1] => [1,2,1,1,2,2] => 2
[2,2,1,1,3] => [3,1,1,2,2] => 2
[2,2,1,2,1,1] => [1,1,2,1,2,2] => 2
[2,2,1,2,2] => [2,2,1,2,2] => 4
[2,2,1,3,1] => [1,3,1,2,2] => 4
[2,2,1,4] => [4,1,2,2] => 2
[2,2,2,1,1,1] => [1,1,1,2,2,2] => 5
[2,2,2,1,2] => [2,1,2,2,2] => 5
[2,2,2,2,1] => [1,2,2,2,2] => 14
[2,2,2,3] => [3,2,2,2] => 28
[2,2,3,1,1] => [1,1,3,2,2] => 19
[2,2,3,2] => [2,3,2,2] => 23
[2,2,4,1] => [1,4,2,2] => 28
[2,2,5] => [5,2,2] => 20
[2,3,1,1,1,1] => [1,1,1,1,3,2] => 11
[2,3,1,1,2] => [2,1,1,3,2] => 9
[2,3,1,2,1] => [1,2,1,3,2] => 7
[2,3,1,3] => [3,1,3,2] => 9
[2,3,2,1,1] => [1,1,2,3,2] => 7
[2,3,2,2] => [2,2,3,2] => 19
[2,3,3,1] => [1,3,3,2] => 42
[2,3,4] => [4,3,2] => 44
[2,4,1,1,1] => [1,1,1,4,2] => 25
[2,4,1,2] => [2,1,4,2] => 23
[2,4,2,1] => [1,2,4,2] => 28
[2,4,3] => [3,4,2] => 26
[2,5,1,1] => [1,1,5,2] => 30
[2,5,2] => [2,5,2] => 44
[2,6,1] => [1,6,2] => 20
[2,7] => [7,2] => 7
[3,1,1,1,1,1,1] => [1,1,1,1,1,1,3] => 7
[3,1,1,1,1,2] => [2,1,1,1,1,3] => 6
[3,1,1,1,2,1] => [1,2,1,1,1,3] => 5
[3,1,1,1,3] => [3,1,1,1,3] => 6
[3,1,1,2,1,1] => [1,1,2,1,1,3] => 4
[3,1,1,2,2] => [2,2,1,1,3] => 9
[3,1,1,3,1] => [1,3,1,1,3] => 11
[3,1,1,4] => [4,1,1,3] => 6
[3,1,2,1,1,1] => [1,1,1,2,1,3] => 3
[3,1,2,1,2] => [2,1,2,1,3] => 3
[3,1,2,2,1] => [1,2,2,1,3] => 7
[3,1,2,3] => [3,2,1,3] => 12
[3,1,3,1,1] => [1,1,3,1,3] => 15
[3,1,3,2] => [2,3,1,3] => 9
[3,1,4,1] => [1,4,1,3] => 17
[3,1,5] => [5,1,3] => 6
[3,2,1,1,1,1] => [1,1,1,1,2,3] => 2
[3,2,1,1,2] => [2,1,1,2,3] => 2
[3,2,1,2,1] => [1,2,1,2,3] => 2
[3,2,1,3] => [3,1,2,3] => 2
[3,2,2,1,1] => [1,1,2,2,3] => 5
[3,2,2,2] => [2,2,2,3] => 14
[3,2,3,1] => [1,3,2,3] => 14
[3,2,4] => [4,2,3] => 14
[3,3,1,1,1] => [1,1,1,3,3] => 32
[3,3,1,2] => [2,1,3,3] => 21
[3,3,2,1] => [1,2,3,3] => 12
[3,3,3] => [3,3,3] => 42
[3,4,1,1] => [1,1,4,3] => 67
[3,4,2] => [2,4,3] => 42
[3,5,1] => [1,5,3] => 58
[3,6] => [6,3] => 20
[4,1,1,1,1,1] => [1,1,1,1,1,4] => 21
[4,1,1,1,2] => [2,1,1,1,4] => 20
[4,1,1,2,1] => [1,2,1,1,4] => 18
[4,1,1,3] => [3,1,1,4] => 14
[4,1,2,1,1] => [1,1,2,1,4] => 15
[4,1,2,2] => [2,2,1,4] => 33
[4,1,3,1] => [1,3,1,4] => 21
[4,1,4] => [4,1,4] => 14
[4,2,1,1,1] => [1,1,1,2,4] => 11
[4,2,1,2] => [2,1,2,4] => 11
[4,2,2,1] => [1,2,2,4] => 26
[4,2,3] => [3,2,4] => 30
[4,3,1,1] => [1,1,3,4] => 21
[4,3,2] => [2,3,4] => 12
[4,4,1] => [1,4,4] => 56
[4,5] => [5,4] => 28
[5,1,1,1,1] => [1,1,1,1,5] => 35
[5,1,1,2] => [2,1,1,5] => 34
[5,1,2,1] => [1,2,1,5] => 31
[5,1,3] => [3,1,5] => 28
[5,2,1,1] => [1,1,2,5] => 25
[5,2,2] => [2,2,5] => 56
[5,3,1] => [1,3,5] => 42
[5,4] => [4,5] => 14
[6,1,1,1] => [1,1,1,6] => 35
[6,1,2] => [2,1,6] => 34
[6,2,1] => [1,2,6] => 30
[6,3] => [3,6] => 28
[7,1,1] => [1,1,7] => 21
[7,2] => [2,7] => 20
[8,1] => [1,8] => 7
[9] => [9] => 1
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Description
The number of standard composition tableaux of the composition.
See [1, Def. 4.2.6].
Apparently, the total number of tableaux of given size is the number of involutions.
Map
reverse
Description
Return the reversal of a composition.
That is, the composition $(i_1, i_2, \ldots, i_k)$ is sent to $(i_k, i_{k-1}, \ldots, i_1)$.