Identifier
Values
[1,1] => [1] => 1
[2,1] => [1] => 1
[1,1,1] => [1,1] => 1
[3,1] => [1] => 1
[2,2] => [2] => 1
[2,1,1] => [1,1] => 1
[1,1,1,1] => [1,1,1] => 3
[4,1] => [1] => 1
[3,2] => [2] => 1
[3,1,1] => [1,1] => 1
[2,2,1] => [2,1] => 1
[2,1,1,1] => [1,1,1] => 3
[1,1,1,1,1] => [1,1,1,1] => 9
[5,1] => [1] => 1
[4,2] => [2] => 1
[4,1,1] => [1,1] => 1
[3,3] => [3] => 0
[3,2,1] => [2,1] => 1
[3,1,1,1] => [1,1,1] => 3
[2,2,2] => [2,2] => 1
[2,2,1,1] => [2,1,1] => 1
[2,1,1,1,1] => [1,1,1,1] => 9
[1,1,1,1,1,1] => [1,1,1,1,1] => 21
[6,1] => [1] => 1
[5,2] => [2] => 1
[5,1,1] => [1,1] => 1
[4,3] => [3] => 0
[4,2,1] => [2,1] => 1
[4,1,1,1] => [1,1,1] => 3
[3,3,1] => [3,1] => 0
[3,2,2] => [2,2] => 1
[3,2,1,1] => [2,1,1] => 1
[3,1,1,1,1] => [1,1,1,1] => 9
[2,2,2,1] => [2,2,1] => 1
[2,2,1,1,1] => [2,1,1,1] => 3
[2,1,1,1,1,1] => [1,1,1,1,1] => 21
[1,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[7,1] => [1] => 1
[6,2] => [2] => 1
[6,1,1] => [1,1] => 1
[5,3] => [3] => 0
[5,2,1] => [2,1] => 1
[5,1,1,1] => [1,1,1] => 3
[4,4] => [4] => 1
[4,3,1] => [3,1] => 0
[4,2,2] => [2,2] => 1
[4,2,1,1] => [2,1,1] => 1
[4,1,1,1,1] => [1,1,1,1] => 9
[3,3,2] => [3,2] => 0
[3,3,1,1] => [3,1,1] => 0
[3,2,2,1] => [2,2,1] => 1
[3,2,1,1,1] => [2,1,1,1] => 3
[3,1,1,1,1,1] => [1,1,1,1,1] => 21
[2,2,2,2] => [2,2,2] => 9
[2,2,2,1,1] => [2,2,1,1] => 1
[2,2,1,1,1,1] => [2,1,1,1,1] => 9
[2,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[8,1] => [1] => 1
[7,2] => [2] => 1
[7,1,1] => [1,1] => 1
[6,3] => [3] => 0
[6,2,1] => [2,1] => 1
[6,1,1,1] => [1,1,1] => 3
[5,4] => [4] => 1
[5,3,1] => [3,1] => 0
[5,2,2] => [2,2] => 1
[5,2,1,1] => [2,1,1] => 1
[5,1,1,1,1] => [1,1,1,1] => 9
[4,4,1] => [4,1] => 1
[4,3,2] => [3,2] => 0
[4,3,1,1] => [3,1,1] => 0
[4,2,2,1] => [2,2,1] => 1
[4,2,1,1,1] => [2,1,1,1] => 3
[4,1,1,1,1,1] => [1,1,1,1,1] => 21
[3,3,3] => [3,3] => 0
[3,3,2,1] => [3,2,1] => 0
[3,3,1,1,1] => [3,1,1,1] => 0
[3,2,2,2] => [2,2,2] => 9
[3,2,2,1,1] => [2,2,1,1] => 1
[3,2,1,1,1,1] => [2,1,1,1,1] => 9
[3,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[2,2,2,2,1] => [2,2,2,1] => 9
[2,2,2,1,1,1] => [2,2,1,1,1] => 3
[2,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[9,1] => [1] => 1
[8,2] => [2] => 1
[8,1,1] => [1,1] => 1
[7,3] => [3] => 0
[7,2,1] => [2,1] => 1
[7,1,1,1] => [1,1,1] => 3
[6,4] => [4] => 1
[6,3,1] => [3,1] => 0
[6,2,2] => [2,2] => 1
[6,2,1,1] => [2,1,1] => 1
[6,1,1,1,1] => [1,1,1,1] => 9
[5,5] => [5] => 1
[5,4,1] => [4,1] => 1
[5,3,2] => [3,2] => 0
>>> Load all 700 entries. <<<
[5,3,1,1] => [3,1,1] => 0
[5,2,2,1] => [2,2,1] => 1
[5,2,1,1,1] => [2,1,1,1] => 3
[5,1,1,1,1,1] => [1,1,1,1,1] => 21
[4,4,2] => [4,2] => 1
[4,4,1,1] => [4,1,1] => 1
[4,3,3] => [3,3] => 0
[4,3,2,1] => [3,2,1] => 0
[4,3,1,1,1] => [3,1,1,1] => 0
[4,2,2,2] => [2,2,2] => 9
[4,2,2,1,1] => [2,2,1,1] => 1
[4,2,1,1,1,1] => [2,1,1,1,1] => 9
[4,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[3,3,3,1] => [3,3,1] => 0
[3,3,2,2] => [3,2,2] => 0
[3,3,2,1,1] => [3,2,1,1] => 0
[3,3,1,1,1,1] => [3,1,1,1,1] => 0
[3,2,2,2,1] => [2,2,2,1] => 9
[3,2,2,1,1,1] => [2,2,1,1,1] => 3
[3,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[2,2,2,2,2] => [2,2,2,2] => 33
[2,2,2,2,1,1] => [2,2,2,1,1] => 9
[2,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[10,1] => [1] => 1
[9,2] => [2] => 1
[9,1,1] => [1,1] => 1
[8,3] => [3] => 0
[8,2,1] => [2,1] => 1
[8,1,1,1] => [1,1,1] => 3
[7,4] => [4] => 1
[7,3,1] => [3,1] => 0
[7,2,2] => [2,2] => 1
[7,2,1,1] => [2,1,1] => 1
[7,1,1,1,1] => [1,1,1,1] => 9
[6,5] => [5] => 1
[6,4,1] => [4,1] => 1
[6,3,2] => [3,2] => 0
[6,3,1,1] => [3,1,1] => 0
[6,2,2,1] => [2,2,1] => 1
[6,2,1,1,1] => [2,1,1,1] => 3
[6,1,1,1,1,1] => [1,1,1,1,1] => 21
[5,5,1] => [5,1] => 1
[5,4,2] => [4,2] => 1
[5,4,1,1] => [4,1,1] => 1
[5,3,3] => [3,3] => 0
[5,3,2,1] => [3,2,1] => 0
[5,3,1,1,1] => [3,1,1,1] => 0
[5,2,2,2] => [2,2,2] => 9
[5,2,2,1,1] => [2,2,1,1] => 1
[5,2,1,1,1,1] => [2,1,1,1,1] => 9
[5,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[4,4,3] => [4,3] => 0
[4,4,2,1] => [4,2,1] => 1
[4,4,1,1,1] => [4,1,1,1] => 3
[4,3,3,1] => [3,3,1] => 0
[4,3,2,2] => [3,2,2] => 0
[4,3,2,1,1] => [3,2,1,1] => 0
[4,3,1,1,1,1] => [3,1,1,1,1] => 0
[4,2,2,2,1] => [2,2,2,1] => 9
[4,2,2,1,1,1] => [2,2,1,1,1] => 3
[4,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[3,3,3,2] => [3,3,2] => 0
[3,3,3,1,1] => [3,3,1,1] => 0
[3,3,2,2,1] => [3,2,2,1] => 0
[3,3,2,1,1,1] => [3,2,1,1,1] => 0
[3,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[3,2,2,2,2] => [2,2,2,2] => 33
[3,2,2,2,1,1] => [2,2,2,1,1] => 9
[3,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[2,2,2,2,2,1] => [2,2,2,2,1] => 33
[2,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[2,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[2,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[2,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[11,1] => [1] => 1
[10,2] => [2] => 1
[10,1,1] => [1,1] => 1
[9,3] => [3] => 0
[9,2,1] => [2,1] => 1
[9,1,1,1] => [1,1,1] => 3
[8,4] => [4] => 1
[8,3,1] => [3,1] => 0
[8,2,2] => [2,2] => 1
[8,2,1,1] => [2,1,1] => 1
[8,1,1,1,1] => [1,1,1,1] => 9
[7,5] => [5] => 1
[7,4,1] => [4,1] => 1
[7,3,2] => [3,2] => 0
[7,3,1,1] => [3,1,1] => 0
[7,2,2,1] => [2,2,1] => 1
[7,2,1,1,1] => [2,1,1,1] => 3
[7,1,1,1,1,1] => [1,1,1,1,1] => 21
[6,6] => [6] => 0
[6,5,1] => [5,1] => 1
[6,4,2] => [4,2] => 1
[6,4,1,1] => [4,1,1] => 1
[6,3,3] => [3,3] => 0
[6,3,2,1] => [3,2,1] => 0
[6,3,1,1,1] => [3,1,1,1] => 0
[6,2,2,2] => [2,2,2] => 9
[6,2,2,1,1] => [2,2,1,1] => 1
[6,2,1,1,1,1] => [2,1,1,1,1] => 9
[6,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[5,5,2] => [5,2] => 1
[5,5,1,1] => [5,1,1] => 1
[5,4,3] => [4,3] => 0
[5,4,2,1] => [4,2,1] => 1
[5,4,1,1,1] => [4,1,1,1] => 3
[5,3,3,1] => [3,3,1] => 0
[5,3,2,2] => [3,2,2] => 0
[5,3,2,1,1] => [3,2,1,1] => 0
[5,3,1,1,1,1] => [3,1,1,1,1] => 0
[5,2,2,2,1] => [2,2,2,1] => 9
[5,2,2,1,1,1] => [2,2,1,1,1] => 3
[5,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[5,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[4,4,4] => [4,4] => 1
[4,4,3,1] => [4,3,1] => 0
[4,4,2,2] => [4,2,2] => 1
[4,4,2,1,1] => [4,2,1,1] => 1
[4,4,1,1,1,1] => [4,1,1,1,1] => 9
[4,3,3,2] => [3,3,2] => 0
[4,3,3,1,1] => [3,3,1,1] => 0
[4,3,2,2,1] => [3,2,2,1] => 0
[4,3,2,1,1,1] => [3,2,1,1,1] => 0
[4,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[4,2,2,2,2] => [2,2,2,2] => 33
[4,2,2,2,1,1] => [2,2,2,1,1] => 9
[4,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[3,3,3,3] => [3,3,3] => 18
[3,3,3,2,1] => [3,3,2,1] => 0
[3,3,3,1,1,1] => [3,3,1,1,1] => 0
[3,3,2,2,2] => [3,2,2,2] => 0
[3,3,2,2,1,1] => [3,2,2,1,1] => 0
[3,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[3,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[3,2,2,2,2,1] => [2,2,2,2,1] => 33
[3,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[3,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[3,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[3,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[12,1] => [1] => 1
[11,2] => [2] => 1
[11,1,1] => [1,1] => 1
[10,3] => [3] => 0
[10,2,1] => [2,1] => 1
[10,1,1,1] => [1,1,1] => 3
[9,4] => [4] => 1
[9,3,1] => [3,1] => 0
[9,2,2] => [2,2] => 1
[9,2,1,1] => [2,1,1] => 1
[9,1,1,1,1] => [1,1,1,1] => 9
[8,5] => [5] => 1
[8,4,1] => [4,1] => 1
[8,3,2] => [3,2] => 0
[8,3,1,1] => [3,1,1] => 0
[8,2,2,1] => [2,2,1] => 1
[8,2,1,1,1] => [2,1,1,1] => 3
[8,1,1,1,1,1] => [1,1,1,1,1] => 21
[7,6] => [6] => 0
[7,5,1] => [5,1] => 1
[7,4,2] => [4,2] => 1
[7,4,1,1] => [4,1,1] => 1
[7,3,3] => [3,3] => 0
[7,3,2,1] => [3,2,1] => 0
[7,3,1,1,1] => [3,1,1,1] => 0
[7,2,2,2] => [2,2,2] => 9
[7,2,2,1,1] => [2,2,1,1] => 1
[7,2,1,1,1,1] => [2,1,1,1,1] => 9
[7,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[6,6,1] => [6,1] => 0
[6,5,2] => [5,2] => 1
[6,5,1,1] => [5,1,1] => 1
[6,4,3] => [4,3] => 0
[6,4,2,1] => [4,2,1] => 1
[6,4,1,1,1] => [4,1,1,1] => 3
[6,3,3,1] => [3,3,1] => 0
[6,3,2,2] => [3,2,2] => 0
[6,3,2,1,1] => [3,2,1,1] => 0
[6,3,1,1,1,1] => [3,1,1,1,1] => 0
[6,2,2,2,1] => [2,2,2,1] => 9
[6,2,2,1,1,1] => [2,2,1,1,1] => 3
[6,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[6,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[5,5,3] => [5,3] => 0
[5,5,2,1] => [5,2,1] => 1
[5,5,1,1,1] => [5,1,1,1] => 3
[5,4,4] => [4,4] => 1
[5,4,3,1] => [4,3,1] => 0
[5,4,2,2] => [4,2,2] => 1
[5,4,2,1,1] => [4,2,1,1] => 1
[5,4,1,1,1,1] => [4,1,1,1,1] => 9
[5,3,3,2] => [3,3,2] => 0
[5,3,3,1,1] => [3,3,1,1] => 0
[5,3,2,2,1] => [3,2,2,1] => 0
[5,3,2,1,1,1] => [3,2,1,1,1] => 0
[5,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[5,2,2,2,2] => [2,2,2,2] => 33
[5,2,2,2,1,1] => [2,2,2,1,1] => 9
[5,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[5,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[5,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[4,4,4,1] => [4,4,1] => 1
[4,4,3,2] => [4,3,2] => 0
[4,4,3,1,1] => [4,3,1,1] => 0
[4,4,2,2,1] => [4,2,2,1] => 1
[4,4,2,1,1,1] => [4,2,1,1,1] => 3
[4,4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[4,3,3,3] => [3,3,3] => 18
[4,3,3,2,1] => [3,3,2,1] => 0
[4,3,3,1,1,1] => [3,3,1,1,1] => 0
[4,3,2,2,2] => [3,2,2,2] => 0
[4,3,2,2,1,1] => [3,2,2,1,1] => 0
[4,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[4,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[4,2,2,2,2,1] => [2,2,2,2,1] => 33
[4,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[4,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[4,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[4,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[13,1] => [1] => 1
[12,2] => [2] => 1
[12,1,1] => [1,1] => 1
[11,3] => [3] => 0
[11,2,1] => [2,1] => 1
[11,1,1,1] => [1,1,1] => 3
[10,4] => [4] => 1
[10,3,1] => [3,1] => 0
[10,2,2] => [2,2] => 1
[10,2,1,1] => [2,1,1] => 1
[10,1,1,1,1] => [1,1,1,1] => 9
[9,5] => [5] => 1
[9,4,1] => [4,1] => 1
[9,3,2] => [3,2] => 0
[9,3,1,1] => [3,1,1] => 0
[9,2,2,1] => [2,2,1] => 1
[9,2,1,1,1] => [2,1,1,1] => 3
[9,1,1,1,1,1] => [1,1,1,1,1] => 21
[8,6] => [6] => 0
[8,5,1] => [5,1] => 1
[8,4,2] => [4,2] => 1
[8,4,1,1] => [4,1,1] => 1
[8,3,3] => [3,3] => 0
[8,3,2,1] => [3,2,1] => 0
[8,3,1,1,1] => [3,1,1,1] => 0
[8,2,2,2] => [2,2,2] => 9
[8,2,2,1,1] => [2,2,1,1] => 1
[8,2,1,1,1,1] => [2,1,1,1,1] => 9
[8,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[7,7] => [7] => 1
[7,6,1] => [6,1] => 0
[7,5,2] => [5,2] => 1
[7,5,1,1] => [5,1,1] => 1
[7,4,3] => [4,3] => 0
[7,4,2,1] => [4,2,1] => 1
[7,4,1,1,1] => [4,1,1,1] => 3
[7,3,3,1] => [3,3,1] => 0
[7,3,2,2] => [3,2,2] => 0
[7,3,2,1,1] => [3,2,1,1] => 0
[7,3,1,1,1,1] => [3,1,1,1,1] => 0
[7,2,2,2,1] => [2,2,2,1] => 9
[7,2,2,1,1,1] => [2,2,1,1,1] => 3
[7,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[7,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[6,6,2] => [6,2] => 0
[6,6,1,1] => [6,1,1] => 0
[6,5,3] => [5,3] => 0
[6,5,2,1] => [5,2,1] => 1
[6,5,1,1,1] => [5,1,1,1] => 3
[6,4,4] => [4,4] => 1
[6,4,3,1] => [4,3,1] => 0
[6,4,2,2] => [4,2,2] => 1
[6,4,2,1,1] => [4,2,1,1] => 1
[6,4,1,1,1,1] => [4,1,1,1,1] => 9
[6,3,3,2] => [3,3,2] => 0
[6,3,3,1,1] => [3,3,1,1] => 0
[6,3,2,2,1] => [3,2,2,1] => 0
[6,3,2,1,1,1] => [3,2,1,1,1] => 0
[6,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[6,2,2,2,2] => [2,2,2,2] => 33
[6,2,2,2,1,1] => [2,2,2,1,1] => 9
[6,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[6,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[6,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[5,5,4] => [5,4] => 1
[5,5,3,1] => [5,3,1] => 0
[5,5,2,2] => [5,2,2] => 1
[5,5,2,1,1] => [5,2,1,1] => 1
[5,5,1,1,1,1] => [5,1,1,1,1] => 9
[5,4,4,1] => [4,4,1] => 1
[5,4,3,2] => [4,3,2] => 0
[5,4,3,1,1] => [4,3,1,1] => 0
[5,4,2,2,1] => [4,2,2,1] => 1
[5,4,2,1,1,1] => [4,2,1,1,1] => 3
[5,4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[5,3,3,3] => [3,3,3] => 18
[5,3,3,2,1] => [3,3,2,1] => 0
[5,3,3,1,1,1] => [3,3,1,1,1] => 0
[5,3,2,2,2] => [3,2,2,2] => 0
[5,3,2,2,1,1] => [3,2,2,1,1] => 0
[5,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[5,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[5,2,2,2,2,1] => [2,2,2,2,1] => 33
[5,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[5,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[5,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[5,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[14,1] => [1] => 1
[13,2] => [2] => 1
[13,1,1] => [1,1] => 1
[12,3] => [3] => 0
[12,2,1] => [2,1] => 1
[12,1,1,1] => [1,1,1] => 3
[11,4] => [4] => 1
[11,3,1] => [3,1] => 0
[11,2,2] => [2,2] => 1
[11,2,1,1] => [2,1,1] => 1
[11,1,1,1,1] => [1,1,1,1] => 9
[10,5] => [5] => 1
[10,4,1] => [4,1] => 1
[10,3,2] => [3,2] => 0
[10,3,1,1] => [3,1,1] => 0
[10,2,2,1] => [2,2,1] => 1
[10,2,1,1,1] => [2,1,1,1] => 3
[10,1,1,1,1,1] => [1,1,1,1,1] => 21
[9,6] => [6] => 0
[9,5,1] => [5,1] => 1
[9,4,2] => [4,2] => 1
[9,4,1,1] => [4,1,1] => 1
[9,3,3] => [3,3] => 0
[9,3,2,1] => [3,2,1] => 0
[9,3,1,1,1] => [3,1,1,1] => 0
[9,2,2,2] => [2,2,2] => 9
[9,2,2,1,1] => [2,2,1,1] => 1
[9,2,1,1,1,1] => [2,1,1,1,1] => 9
[9,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[8,7] => [7] => 1
[8,6,1] => [6,1] => 0
[8,5,2] => [5,2] => 1
[8,5,1,1] => [5,1,1] => 1
[8,4,3] => [4,3] => 0
[8,4,2,1] => [4,2,1] => 1
[8,4,1,1,1] => [4,1,1,1] => 3
[8,3,3,1] => [3,3,1] => 0
[8,3,2,2] => [3,2,2] => 0
[8,3,2,1,1] => [3,2,1,1] => 0
[8,3,1,1,1,1] => [3,1,1,1,1] => 0
[8,2,2,2,1] => [2,2,2,1] => 9
[8,2,2,1,1,1] => [2,2,1,1,1] => 3
[8,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[8,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[7,7,1] => [7,1] => 1
[7,6,2] => [6,2] => 0
[7,6,1,1] => [6,1,1] => 0
[7,5,3] => [5,3] => 0
[7,5,2,1] => [5,2,1] => 1
[7,5,1,1,1] => [5,1,1,1] => 3
[7,4,4] => [4,4] => 1
[7,4,3,1] => [4,3,1] => 0
[7,4,2,2] => [4,2,2] => 1
[7,4,2,1,1] => [4,2,1,1] => 1
[7,4,1,1,1,1] => [4,1,1,1,1] => 9
[7,3,3,2] => [3,3,2] => 0
[7,3,3,1,1] => [3,3,1,1] => 0
[7,3,2,2,1] => [3,2,2,1] => 0
[7,3,2,1,1,1] => [3,2,1,1,1] => 0
[7,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[7,2,2,2,2] => [2,2,2,2] => 33
[7,2,2,2,1,1] => [2,2,2,1,1] => 9
[7,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[7,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[7,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[6,6,3] => [6,3] => 0
[6,6,2,1] => [6,2,1] => 0
[6,6,1,1,1] => [6,1,1,1] => 0
[6,5,4] => [5,4] => 1
[6,5,3,1] => [5,3,1] => 0
[6,5,2,2] => [5,2,2] => 1
[6,5,2,1,1] => [5,2,1,1] => 1
[6,5,1,1,1,1] => [5,1,1,1,1] => 9
[6,4,4,1] => [4,4,1] => 1
[6,4,3,2] => [4,3,2] => 0
[6,4,3,1,1] => [4,3,1,1] => 0
[6,4,2,2,1] => [4,2,2,1] => 1
[6,4,2,1,1,1] => [4,2,1,1,1] => 3
[6,4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[6,3,3,3] => [3,3,3] => 18
[6,3,3,2,1] => [3,3,2,1] => 0
[6,3,3,1,1,1] => [3,3,1,1,1] => 0
[6,3,2,2,2] => [3,2,2,2] => 0
[6,3,2,2,1,1] => [3,2,2,1,1] => 0
[6,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[6,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[6,2,2,2,2,1] => [2,2,2,2,1] => 33
[6,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[6,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[6,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[6,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[15,1] => [1] => 1
[14,2] => [2] => 1
[14,1,1] => [1,1] => 1
[13,3] => [3] => 0
[13,2,1] => [2,1] => 1
[13,1,1,1] => [1,1,1] => 3
[12,4] => [4] => 1
[12,3,1] => [3,1] => 0
[12,2,2] => [2,2] => 1
[12,2,1,1] => [2,1,1] => 1
[12,1,1,1,1] => [1,1,1,1] => 9
[11,5] => [5] => 1
[11,4,1] => [4,1] => 1
[11,3,2] => [3,2] => 0
[11,3,1,1] => [3,1,1] => 0
[11,2,2,1] => [2,2,1] => 1
[11,2,1,1,1] => [2,1,1,1] => 3
[11,1,1,1,1,1] => [1,1,1,1,1] => 21
[10,6] => [6] => 0
[10,5,1] => [5,1] => 1
[10,4,2] => [4,2] => 1
[10,4,1,1] => [4,1,1] => 1
[10,3,3] => [3,3] => 0
[10,3,2,1] => [3,2,1] => 0
[10,3,1,1,1] => [3,1,1,1] => 0
[10,2,2,2] => [2,2,2] => 9
[10,2,2,1,1] => [2,2,1,1] => 1
[10,2,1,1,1,1] => [2,1,1,1,1] => 9
[10,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[9,7] => [7] => 1
[9,6,1] => [6,1] => 0
[9,5,2] => [5,2] => 1
[9,5,1,1] => [5,1,1] => 1
[9,4,3] => [4,3] => 0
[9,4,2,1] => [4,2,1] => 1
[9,4,1,1,1] => [4,1,1,1] => 3
[9,3,3,1] => [3,3,1] => 0
[9,3,2,2] => [3,2,2] => 0
[9,3,2,1,1] => [3,2,1,1] => 0
[9,3,1,1,1,1] => [3,1,1,1,1] => 0
[9,2,2,2,1] => [2,2,2,1] => 9
[9,2,2,1,1,1] => [2,2,1,1,1] => 3
[9,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[9,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[8,8] => [8] => 1
[8,7,1] => [7,1] => 1
[8,6,2] => [6,2] => 0
[8,6,1,1] => [6,1,1] => 0
[8,5,3] => [5,3] => 0
[8,5,2,1] => [5,2,1] => 1
[8,5,1,1,1] => [5,1,1,1] => 3
[8,4,4] => [4,4] => 1
[8,4,3,1] => [4,3,1] => 0
[8,4,2,2] => [4,2,2] => 1
[8,4,2,1,1] => [4,2,1,1] => 1
[8,4,1,1,1,1] => [4,1,1,1,1] => 9
[8,3,3,2] => [3,3,2] => 0
[8,3,3,1,1] => [3,3,1,1] => 0
[8,3,2,2,1] => [3,2,2,1] => 0
[8,3,2,1,1,1] => [3,2,1,1,1] => 0
[8,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[8,2,2,2,2] => [2,2,2,2] => 33
[8,2,2,2,1,1] => [2,2,2,1,1] => 9
[8,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[8,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[8,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[7,7,2] => [7,2] => 1
[7,7,1,1] => [7,1,1] => 1
[7,6,3] => [6,3] => 0
[7,6,2,1] => [6,2,1] => 0
[7,6,1,1,1] => [6,1,1,1] => 0
[7,5,4] => [5,4] => 1
[7,5,3,1] => [5,3,1] => 0
[7,5,2,2] => [5,2,2] => 1
[7,5,2,1,1] => [5,2,1,1] => 1
[7,5,1,1,1,1] => [5,1,1,1,1] => 9
[7,4,4,1] => [4,4,1] => 1
[7,4,3,2] => [4,3,2] => 0
[7,4,3,1,1] => [4,3,1,1] => 0
[7,4,2,2,1] => [4,2,2,1] => 1
[7,4,2,1,1,1] => [4,2,1,1,1] => 3
[7,4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[7,3,3,3] => [3,3,3] => 18
[7,3,3,2,1] => [3,3,2,1] => 0
[7,3,3,1,1,1] => [3,3,1,1,1] => 0
[7,3,2,2,2] => [3,2,2,2] => 0
[7,3,2,2,1,1] => [3,2,2,1,1] => 0
[7,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[7,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[7,2,2,2,2,1] => [2,2,2,2,1] => 33
[7,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[7,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[7,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[7,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[16,1] => [1] => 1
[15,2] => [2] => 1
[15,1,1] => [1,1] => 1
[14,3] => [3] => 0
[14,2,1] => [2,1] => 1
[14,1,1,1] => [1,1,1] => 3
[13,4] => [4] => 1
[13,3,1] => [3,1] => 0
[13,2,2] => [2,2] => 1
[13,2,1,1] => [2,1,1] => 1
[13,1,1,1,1] => [1,1,1,1] => 9
[12,5] => [5] => 1
[12,4,1] => [4,1] => 1
[12,3,2] => [3,2] => 0
[12,3,1,1] => [3,1,1] => 0
[12,2,2,1] => [2,2,1] => 1
[12,2,1,1,1] => [2,1,1,1] => 3
[12,1,1,1,1,1] => [1,1,1,1,1] => 21
[11,6] => [6] => 0
[11,5,1] => [5,1] => 1
[11,4,2] => [4,2] => 1
[11,4,1,1] => [4,1,1] => 1
[11,3,3] => [3,3] => 0
[11,3,2,1] => [3,2,1] => 0
[11,3,1,1,1] => [3,1,1,1] => 0
[11,2,2,2] => [2,2,2] => 9
[11,2,2,1,1] => [2,2,1,1] => 1
[11,2,1,1,1,1] => [2,1,1,1,1] => 9
[11,1,1,1,1,1,1] => [1,1,1,1,1,1] => 81
[10,7] => [7] => 1
[10,6,1] => [6,1] => 0
[10,5,2] => [5,2] => 1
[10,5,1,1] => [5,1,1] => 1
[10,4,3] => [4,3] => 0
[10,4,2,1] => [4,2,1] => 1
[10,4,1,1,1] => [4,1,1,1] => 3
[10,3,3,1] => [3,3,1] => 0
[10,3,2,2] => [3,2,2] => 0
[10,3,2,1,1] => [3,2,1,1] => 0
[10,3,1,1,1,1] => [3,1,1,1,1] => 0
[10,2,2,2,1] => [2,2,2,1] => 9
[10,2,2,1,1,1] => [2,2,1,1,1] => 3
[10,2,1,1,1,1,1] => [2,1,1,1,1,1] => 21
[10,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => 351
[9,8] => [8] => 1
[9,7,1] => [7,1] => 1
[9,6,2] => [6,2] => 0
[9,6,1,1] => [6,1,1] => 0
[9,5,3] => [5,3] => 0
[9,5,2,1] => [5,2,1] => 1
[9,5,1,1,1] => [5,1,1,1] => 3
[9,4,4] => [4,4] => 1
[9,4,3,1] => [4,3,1] => 0
[9,4,2,2] => [4,2,2] => 1
[9,4,2,1,1] => [4,2,1,1] => 1
[9,4,1,1,1,1] => [4,1,1,1,1] => 9
[9,3,3,2] => [3,3,2] => 0
[9,3,3,1,1] => [3,3,1,1] => 0
[9,3,2,2,1] => [3,2,2,1] => 0
[9,3,2,1,1,1] => [3,2,1,1,1] => 0
[9,3,1,1,1,1,1] => [3,1,1,1,1,1] => 0
[9,2,2,2,2] => [2,2,2,2] => 33
[9,2,2,2,1,1] => [2,2,2,1,1] => 9
[9,2,2,1,1,1,1] => [2,2,1,1,1,1] => 9
[9,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => 81
[9,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => 1233
[8,8,1] => [8,1] => 1
[8,7,2] => [7,2] => 1
[8,7,1,1] => [7,1,1] => 1
[8,6,3] => [6,3] => 0
[8,6,2,1] => [6,2,1] => 0
[8,6,1,1,1] => [6,1,1,1] => 0
[8,5,4] => [5,4] => 1
[8,5,3,1] => [5,3,1] => 0
[8,5,2,2] => [5,2,2] => 1
[8,5,2,1,1] => [5,2,1,1] => 1
[8,5,1,1,1,1] => [5,1,1,1,1] => 9
[8,4,4,1] => [4,4,1] => 1
[8,4,3,2] => [4,3,2] => 0
[8,4,3,1,1] => [4,3,1,1] => 0
[8,4,2,2,1] => [4,2,2,1] => 1
[8,4,2,1,1,1] => [4,2,1,1,1] => 3
[8,4,1,1,1,1,1] => [4,1,1,1,1,1] => 21
[8,3,3,3] => [3,3,3] => 18
[8,3,3,2,1] => [3,3,2,1] => 0
[8,3,3,1,1,1] => [3,3,1,1,1] => 0
[8,3,2,2,2] => [3,2,2,2] => 0
[8,3,2,2,1,1] => [3,2,2,1,1] => 0
[8,3,2,1,1,1,1] => [3,2,1,1,1,1] => 0
[8,3,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => 0
[8,2,2,2,2,1] => [2,2,2,2,1] => 33
[8,2,2,2,1,1,1] => [2,2,2,1,1,1] => 27
[8,2,2,1,1,1,1,1] => [2,2,1,1,1,1,1] => 21
[8,2,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => 351
[8,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => 5769
[10,4,4] => [4,4] => 1
[9,6,3] => [6,3] => 0
[9,9] => [9] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The number of permutations whose cube equals a fixed permutation of given cycle type.
For example, the permutation $\pi=412365$ has cycle type $(4,2)$ and $234165$ is the unique permutation whose cube is $\pi$.
Map
first row removal
Description
Removes the first entry of an integer partition