Identifier
Values
[1] => [1,0] => 1
[1,1] => [1,0,1,0] => 2
[2] => [1,1,0,0] => 1
[1,1,1] => [1,0,1,0,1,0] => 3
[1,2] => [1,0,1,1,0,0] => 2
[2,1] => [1,1,0,0,1,0] => 2
[3] => [1,1,1,0,0,0] => 1
[1,1,1,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,2] => [1,0,1,0,1,1,0,0] => 3
[1,2,1] => [1,0,1,1,0,0,1,0] => 3
[1,3] => [1,0,1,1,1,0,0,0] => 2
[2,1,1] => [1,1,0,0,1,0,1,0] => 3
[2,2] => [1,1,0,0,1,1,0,0] => 2
[3,1] => [1,1,1,0,0,0,1,0] => 2
[4] => [1,1,1,1,0,0,0,0] => 1
[1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 4
[1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 4
[1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 4
[1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 3
[1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 3
[1,4] => [1,0,1,1,1,1,0,0,0,0] => 2
[2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 4
[2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 3
[2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
[2,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 3
[3,2] => [1,1,1,0,0,0,1,1,0,0] => 2
[4,1] => [1,1,1,1,0,0,0,0,1,0] => 2
[5] => [1,1,1,1,1,0,0,0,0,0] => 1
[1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 5
[2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 4
[2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 4
[2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 4
[2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 3
[4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
[6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,1,1,2,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 5
[1,1,1,3,1] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,1,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,2,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,2,1,2] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 5
[1,1,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,2,3] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,1,3,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,3,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,1,4,1] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,2,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,2,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 5
[1,2,1,2,1] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,2,1,3] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,2,2,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,3,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,3,1,2] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[2,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[2,1,1,2,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 5
[2,1,1,3] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[2,1,2,1,1] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 5
[2,1,2,2] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 4
>>> Load all 254 entries. <<<
[2,1,3,1] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[2,1,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,2,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 5
[2,2,1,2] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 4
[2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 4
[2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,3,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[3,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[3,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[3,1,2,1] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[3,1,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,1,1] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 3
[3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[4,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[4,1,2] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 3
[4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
[4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[5,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3
[5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7
[1,1,1,1,1,2,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,1,1,1,2,1,1] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,1,1,1,3,1] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,4] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 5
[1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,2,1,2] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,1,1,3,2] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,5] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,1,2,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,2,1,1,2] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 6
[1,1,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,3,1,1,1] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,4,2] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 4
[1,1,5,1] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,1,6] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,2,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,2,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,2,5] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,3,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,3,2,2] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,6,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3
[1,7] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[2,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[2,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[2,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[2,1,1,1,3] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[2,1,1,2,1,1] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[2,1,5] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[2,2,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[2,2,4] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,1,1] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[2,4,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,5,1] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,6] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[3,1,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[3,1,1,1,2] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 5
[3,4,1] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[3,5] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[4,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => 5
[4,2,2] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 3
[4,4] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 2
[5,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => 4
[5,3] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => 2
[6,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => 3
[6,2] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 2
[7,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[8] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8
[1,1,1,1,1,1,3] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 7
[1,1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 7
[1,1,1,1,3,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,1,1,2,1,1,1,1] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,2,2,2] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,2,1,1,1,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,3,2,2] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,1,7] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[1,2,1,1,1,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,2,1,1,1,1,2] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7
[1,2,2,1,1,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,2,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[1,2,6] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,3,1,1,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 3
[1,7,1] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3
[1,8] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2
[2,1,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[2,1,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 7
[2,1,1,1,1,2,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[2,2,1,1,1,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[2,2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
[2,6,1] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3
[2,7] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[3,1,1,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[3,2,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 4
[3,6] => [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[4,1,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[4,5] => [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[5,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => 5
[5,4] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] => 2
[6,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => 4
[6,3] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] => 2
[7,1,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => 3
[7,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => 2
[8,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[9] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 1
[1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 9
[1,1,1,1,1,1,2,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 8
[1,1,1,1,1,2,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 9
[1,1,1,1,2,2,2] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 7
[1,1,2,2,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
[1,1,8] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[1,2,2,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,8,1] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3
[1,9] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2
[2,1,1,1,1,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[2,1,1,1,1,1,1,2] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 8
[2,2,2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 5
[2,8] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2
[3,1,1,1,1,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[3,7] => [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[4,1,1,1,1,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[4,6] => [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[5,1,1,1,1,1] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[6,1,1,1,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => 5
[6,4] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => 2
[7,1,1,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => 4
[7,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] => 2
[8,1,1] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => 3
[8,2] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => 2
[9,1] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 2
[10] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 1
[1,10] => [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 2
[10,1] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => 2
[1,1,1,1,1,1,1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 12
[1,1,1,1,1,1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10
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 touch points (or returns) of a Dyck path.
This is the number of points, excluding the origin, where the Dyck path has height 0.
Map
bounce path
Description
The bounce path determined by an integer composition.