Identifier
Values
[1] => 1
[2] => 1
[1,1] => 2
[3] => 1
[2,1] => 1
[1,1,1] => 3
[4] => 1
[3,1] => 1
[2,2] => 2
[2,1,1] => 2
[1,1,1,1] => 4
[5] => 1
[4,1] => 1
[3,2] => 1
[3,1,1] => 2
[2,2,1] => 2
[2,1,1,1] => 3
[1,1,1,1,1] => 5
[6] => 1
[5,1] => 1
[4,2] => 1
[4,1,1] => 2
[3,3] => 2
[3,2,1] => 1
[3,1,1,1] => 3
[2,2,2] => 3
[2,2,1,1] => 2
[2,1,1,1,1] => 4
[1,1,1,1,1,1] => 6
[7] => 1
[6,1] => 1
[5,2] => 1
[5,1,1] => 2
[4,3] => 1
[4,2,1] => 1
[4,1,1,1] => 3
[3,3,1] => 2
[3,2,2] => 2
[3,2,1,1] => 2
[3,1,1,1,1] => 4
[2,2,2,1] => 3
[2,2,1,1,1] => 3
[2,1,1,1,1,1] => 5
[1,1,1,1,1,1,1] => 7
[8] => 1
[7,1] => 1
[6,2] => 1
[6,1,1] => 2
[5,3] => 1
[5,2,1] => 1
[5,1,1,1] => 3
[4,4] => 2
[4,3,1] => 1
[4,2,2] => 2
[4,2,1,1] => 2
[4,1,1,1,1] => 4
[3,3,2] => 2
[3,3,1,1] => 2
[3,2,2,1] => 2
[3,2,1,1,1] => 3
[3,1,1,1,1,1] => 5
[2,2,2,2] => 4
[2,2,2,1,1] => 3
[2,2,1,1,1,1] => 4
[2,1,1,1,1,1,1] => 6
[1,1,1,1,1,1,1,1] => 8
[9] => 1
[8,1] => 1
[7,2] => 1
[7,1,1] => 2
[6,3] => 1
[6,2,1] => 1
[6,1,1,1] => 3
[5,4] => 1
[5,3,1] => 1
[5,2,2] => 2
[5,2,1,1] => 2
[5,1,1,1,1] => 4
[4,4,1] => 2
[4,3,2] => 1
[4,3,1,1] => 2
[4,2,2,1] => 2
[4,2,1,1,1] => 3
[4,1,1,1,1,1] => 5
[3,3,3] => 3
[3,3,2,1] => 2
[3,3,1,1,1] => 3
[3,2,2,2] => 3
[3,2,2,1,1] => 2
[3,2,1,1,1,1] => 4
[3,1,1,1,1,1,1] => 6
[2,2,2,2,1] => 4
[2,2,2,1,1,1] => 3
[2,2,1,1,1,1,1] => 5
[2,1,1,1,1,1,1,1] => 7
[1,1,1,1,1,1,1,1,1] => 9
[10] => 1
[9,1] => 1
[8,2] => 1
[8,1,1] => 2
[7,3] => 1
>>> Load all 1200 entries. <<<[7,2,1] => 1
[7,1,1,1] => 3
[6,4] => 1
[6,3,1] => 1
[6,2,2] => 2
[6,2,1,1] => 2
[6,1,1,1,1] => 4
[5,5] => 2
[5,4,1] => 1
[5,3,2] => 1
[5,3,1,1] => 2
[5,2,2,1] => 2
[5,2,1,1,1] => 3
[5,1,1,1,1,1] => 5
[4,4,2] => 2
[4,4,1,1] => 2
[4,3,3] => 2
[4,3,2,1] => 1
[4,3,1,1,1] => 3
[4,2,2,2] => 3
[4,2,2,1,1] => 2
[4,2,1,1,1,1] => 4
[4,1,1,1,1,1,1] => 6
[3,3,3,1] => 3
[3,3,2,2] => 2
[3,3,2,1,1] => 2
[3,3,1,1,1,1] => 4
[3,2,2,2,1] => 3
[3,2,2,1,1,1] => 3
[3,2,1,1,1,1,1] => 5
[3,1,1,1,1,1,1,1] => 7
[2,2,2,2,2] => 5
[2,2,2,2,1,1] => 4
[2,2,2,1,1,1,1] => 4
[2,2,1,1,1,1,1,1] => 6
[2,1,1,1,1,1,1,1,1] => 8
[1,1,1,1,1,1,1,1,1,1] => 10
[11] => 1
[10,1] => 1
[9,2] => 1
[9,1,1] => 2
[8,3] => 1
[8,2,1] => 1
[8,1,1,1] => 3
[7,4] => 1
[7,3,1] => 1
[7,2,2] => 2
[7,2,1,1] => 2
[7,1,1,1,1] => 4
[6,5] => 1
[6,4,1] => 1
[6,3,2] => 1
[6,3,1,1] => 2
[6,2,2,1] => 2
[6,2,1,1,1] => 3
[6,1,1,1,1,1] => 5
[5,5,1] => 2
[5,4,2] => 1
[5,4,1,1] => 2
[5,3,3] => 2
[5,3,2,1] => 1
[5,3,1,1,1] => 3
[5,2,2,2] => 3
[5,2,2,1,1] => 2
[5,2,1,1,1,1] => 4
[5,1,1,1,1,1,1] => 6
[4,4,3] => 2
[4,4,2,1] => 2
[4,4,1,1,1] => 3
[4,3,3,1] => 2
[4,3,2,2] => 2
[4,3,2,1,1] => 2
[4,3,1,1,1,1] => 4
[4,2,2,2,1] => 3
[4,2,2,1,1,1] => 3
[4,2,1,1,1,1,1] => 5
[4,1,1,1,1,1,1,1] => 7
[3,3,3,2] => 3
[3,3,3,1,1] => 3
[3,3,2,2,1] => 2
[3,3,2,1,1,1] => 3
[3,3,1,1,1,1,1] => 5
[3,2,2,2,2] => 4
[3,2,2,2,1,1] => 3
[3,2,2,1,1,1,1] => 4
[3,2,1,1,1,1,1,1] => 6
[3,1,1,1,1,1,1,1,1] => 8
[2,2,2,2,2,1] => 5
[2,2,2,2,1,1,1] => 4
[2,2,2,1,1,1,1,1] => 5
[2,2,1,1,1,1,1,1,1] => 7
[2,1,1,1,1,1,1,1,1,1] => 9
[1,1,1,1,1,1,1,1,1,1,1] => 11
[12] => 1
[11,1] => 1
[10,2] => 1
[10,1,1] => 2
[9,3] => 1
[9,2,1] => 1
[9,1,1,1] => 3
[8,4] => 1
[8,3,1] => 1
[8,2,2] => 2
[8,2,1,1] => 2
[8,1,1,1,1] => 4
[7,5] => 1
[7,4,1] => 1
[7,3,2] => 1
[7,3,1,1] => 2
[7,2,2,1] => 2
[7,2,1,1,1] => 3
[7,1,1,1,1,1] => 5
[6,6] => 2
[6,5,1] => 1
[6,4,2] => 1
[6,4,1,1] => 2
[6,3,3] => 2
[6,3,2,1] => 1
[6,3,1,1,1] => 3
[6,2,2,2] => 3
[6,2,2,1,1] => 2
[6,2,1,1,1,1] => 4
[6,1,1,1,1,1,1] => 6
[5,5,2] => 2
[5,5,1,1] => 2
[5,4,3] => 1
[5,4,2,1] => 1
[5,4,1,1,1] => 3
[5,3,3,1] => 2
[5,3,2,2] => 2
[5,3,2,1,1] => 2
[5,3,1,1,1,1] => 4
[5,2,2,2,1] => 3
[5,2,2,1,1,1] => 3
[5,2,1,1,1,1,1] => 5
[5,1,1,1,1,1,1,1] => 7
[4,4,4] => 3
[4,4,3,1] => 2
[4,4,2,2] => 2
[4,4,2,1,1] => 2
[4,4,1,1,1,1] => 4
[4,3,3,2] => 2
[4,3,3,1,1] => 2
[4,3,2,2,1] => 2
[4,3,2,1,1,1] => 3
[4,3,1,1,1,1,1] => 5
[4,2,2,2,2] => 4
[4,2,2,2,1,1] => 3
[4,2,2,1,1,1,1] => 4
[4,2,1,1,1,1,1,1] => 6
[4,1,1,1,1,1,1,1,1] => 8
[3,3,3,3] => 4
[3,3,3,2,1] => 3
[3,3,3,1,1,1] => 3
[3,3,2,2,2] => 3
[3,3,2,2,1,1] => 2
[3,3,2,1,1,1,1] => 4
[3,3,1,1,1,1,1,1] => 6
[3,2,2,2,2,1] => 4
[3,2,2,2,1,1,1] => 3
[3,2,2,1,1,1,1,1] => 5
[3,2,1,1,1,1,1,1,1] => 7
[3,1,1,1,1,1,1,1,1,1] => 9
[2,2,2,2,2,2] => 6
[2,2,2,2,2,1,1] => 5
[2,2,2,2,1,1,1,1] => 4
[2,2,2,1,1,1,1,1,1] => 6
[2,2,1,1,1,1,1,1,1,1] => 8
[2,1,1,1,1,1,1,1,1,1,1] => 10
[1,1,1,1,1,1,1,1,1,1,1,1] => 12
[13] => 1
[12,1] => 1
[11,2] => 1
[11,1,1] => 2
[10,3] => 1
[10,2,1] => 1
[10,1,1,1] => 3
[9,4] => 1
[9,3,1] => 1
[9,2,2] => 2
[9,2,1,1] => 2
[9,1,1,1,1] => 4
[8,5] => 1
[8,4,1] => 1
[8,3,2] => 1
[8,3,1,1] => 2
[8,2,2,1] => 2
[8,2,1,1,1] => 3
[8,1,1,1,1,1] => 5
[7,6] => 1
[7,5,1] => 1
[7,4,2] => 1
[7,4,1,1] => 2
[7,3,3] => 2
[7,3,2,1] => 1
[7,3,1,1,1] => 3
[7,2,2,2] => 3
[7,2,2,1,1] => 2
[7,2,1,1,1,1] => 4
[7,1,1,1,1,1,1] => 6
[6,6,1] => 2
[6,5,2] => 1
[6,5,1,1] => 2
[6,4,3] => 1
[6,4,2,1] => 1
[6,4,1,1,1] => 3
[6,3,3,1] => 2
[6,3,2,2] => 2
[6,3,2,1,1] => 2
[6,3,1,1,1,1] => 4
[6,2,2,2,1] => 3
[6,2,2,1,1,1] => 3
[6,2,1,1,1,1,1] => 5
[6,1,1,1,1,1,1,1] => 7
[5,5,3] => 2
[5,5,2,1] => 2
[5,5,1,1,1] => 3
[5,4,4] => 2
[5,4,3,1] => 1
[5,4,2,2] => 2
[5,4,2,1,1] => 2
[5,4,1,1,1,1] => 4
[5,3,3,2] => 2
[5,3,3,1,1] => 2
[5,3,2,2,1] => 2
[5,3,2,1,1,1] => 3
[5,3,1,1,1,1,1] => 5
[5,2,2,2,2] => 4
[5,2,2,2,1,1] => 3
[5,2,2,1,1,1,1] => 4
[5,2,1,1,1,1,1,1] => 6
[5,1,1,1,1,1,1,1,1] => 8
[4,4,4,1] => 3
[4,4,3,2] => 2
[4,4,3,1,1] => 2
[4,4,2,2,1] => 2
[4,4,2,1,1,1] => 3
[4,4,1,1,1,1,1] => 5
[4,3,3,3] => 3
[4,3,3,2,1] => 2
[4,3,3,1,1,1] => 3
[4,3,2,2,2] => 3
[4,3,2,2,1,1] => 2
[4,3,2,1,1,1,1] => 4
[4,3,1,1,1,1,1,1] => 6
[4,2,2,2,2,1] => 4
[4,2,2,2,1,1,1] => 3
[4,2,2,1,1,1,1,1] => 5
[4,2,1,1,1,1,1,1,1] => 7
[4,1,1,1,1,1,1,1,1,1] => 9
[3,3,3,3,1] => 4
[3,3,3,2,2] => 3
[3,3,3,2,1,1] => 3
[3,3,3,1,1,1,1] => 4
[3,3,2,2,2,1] => 3
[3,3,2,2,1,1,1] => 3
[3,3,2,1,1,1,1,1] => 5
[3,3,1,1,1,1,1,1,1] => 7
[3,2,2,2,2,2] => 5
[3,2,2,2,2,1,1] => 4
[3,2,2,2,1,1,1,1] => 4
[3,2,2,1,1,1,1,1,1] => 6
[3,2,1,1,1,1,1,1,1,1] => 8
[3,1,1,1,1,1,1,1,1,1,1] => 10
[2,2,2,2,2,2,1] => 6
[2,2,2,2,2,1,1,1] => 5
[2,2,2,2,1,1,1,1,1] => 5
[2,2,2,1,1,1,1,1,1,1] => 7
[2,2,1,1,1,1,1,1,1,1,1] => 9
[2,1,1,1,1,1,1,1,1,1,1,1] => 11
[1,1,1,1,1,1,1,1,1,1,1,1,1] => 13
[14] => 1
[13,1] => 1
[12,2] => 1
[12,1,1] => 2
[11,3] => 1
[11,2,1] => 1
[11,1,1,1] => 3
[10,4] => 1
[10,3,1] => 1
[10,2,2] => 2
[10,2,1,1] => 2
[10,1,1,1,1] => 4
[9,5] => 1
[9,4,1] => 1
[9,3,2] => 1
[9,3,1,1] => 2
[9,2,2,1] => 2
[9,2,1,1,1] => 3
[9,1,1,1,1,1] => 5
[8,6] => 1
[8,5,1] => 1
[8,4,2] => 1
[8,4,1,1] => 2
[8,3,3] => 2
[8,3,2,1] => 1
[8,3,1,1,1] => 3
[8,2,2,2] => 3
[8,2,2,1,1] => 2
[8,2,1,1,1,1] => 4
[8,1,1,1,1,1,1] => 6
[7,7] => 2
[7,6,1] => 1
[7,5,2] => 1
[7,5,1,1] => 2
[7,4,3] => 1
[7,4,2,1] => 1
[7,4,1,1,1] => 3
[7,3,3,1] => 2
[7,3,2,2] => 2
[7,3,2,1,1] => 2
[7,3,1,1,1,1] => 4
[7,2,2,2,1] => 3
[7,2,2,1,1,1] => 3
[7,2,1,1,1,1,1] => 5
[7,1,1,1,1,1,1,1] => 7
[6,6,2] => 2
[6,6,1,1] => 2
[6,5,3] => 1
[6,5,2,1] => 1
[6,5,1,1,1] => 3
[6,4,4] => 2
[6,4,3,1] => 1
[6,4,2,2] => 2
[6,4,2,1,1] => 2
[6,4,1,1,1,1] => 4
[6,3,3,2] => 2
[6,3,3,1,1] => 2
[6,3,2,2,1] => 2
[6,3,2,1,1,1] => 3
[6,3,1,1,1,1,1] => 5
[6,2,2,2,2] => 4
[6,2,2,2,1,1] => 3
[6,2,2,1,1,1,1] => 4
[6,2,1,1,1,1,1,1] => 6
[6,1,1,1,1,1,1,1,1] => 8
[5,5,4] => 2
[5,5,3,1] => 2
[5,5,2,2] => 2
[5,5,2,1,1] => 2
[5,5,1,1,1,1] => 4
[5,4,4,1] => 2
[5,4,3,2] => 1
[5,4,3,1,1] => 2
[5,4,2,2,1] => 2
[5,4,2,1,1,1] => 3
[5,4,1,1,1,1,1] => 5
[5,3,3,3] => 3
[5,3,3,2,1] => 2
[5,3,3,1,1,1] => 3
[5,3,2,2,2] => 3
[5,3,2,2,1,1] => 2
[5,3,2,1,1,1,1] => 4
[5,3,1,1,1,1,1,1] => 6
[5,2,2,2,2,1] => 4
[5,2,2,2,1,1,1] => 3
[5,2,2,1,1,1,1,1] => 5
[5,2,1,1,1,1,1,1,1] => 7
[5,1,1,1,1,1,1,1,1,1] => 9
[4,4,4,2] => 3
[4,4,4,1,1] => 3
[4,4,3,3] => 2
[4,4,3,2,1] => 2
[4,4,3,1,1,1] => 3
[4,4,2,2,2] => 3
[4,4,2,2,1,1] => 2
[4,4,2,1,1,1,1] => 4
[4,4,1,1,1,1,1,1] => 6
[4,3,3,3,1] => 3
[4,3,3,2,2] => 2
[4,3,3,2,1,1] => 2
[4,3,3,1,1,1,1] => 4
[4,3,2,2,2,1] => 3
[4,3,2,2,1,1,1] => 3
[4,3,2,1,1,1,1,1] => 5
[4,3,1,1,1,1,1,1,1] => 7
[4,2,2,2,2,2] => 5
[4,2,2,2,2,1,1] => 4
[4,2,2,2,1,1,1,1] => 4
[4,2,2,1,1,1,1,1,1] => 6
[4,2,1,1,1,1,1,1,1,1] => 8
[4,1,1,1,1,1,1,1,1,1,1] => 10
[3,3,3,3,2] => 4
[3,3,3,3,1,1] => 4
[3,3,3,2,2,1] => 3
[3,3,3,2,1,1,1] => 3
[3,3,3,1,1,1,1,1] => 5
[3,3,2,2,2,2] => 4
[3,3,2,2,2,1,1] => 3
[3,3,2,2,1,1,1,1] => 4
[3,3,2,1,1,1,1,1,1] => 6
[3,3,1,1,1,1,1,1,1,1] => 8
[3,2,2,2,2,2,1] => 5
[3,2,2,2,2,1,1,1] => 4
[3,2,2,2,1,1,1,1,1] => 5
[3,2,2,1,1,1,1,1,1,1] => 7
[3,2,1,1,1,1,1,1,1,1,1] => 9
[3,1,1,1,1,1,1,1,1,1,1,1] => 11
[2,2,2,2,2,2,2] => 7
[2,2,2,2,2,2,1,1] => 6
[2,2,2,2,2,1,1,1,1] => 5
[2,2,2,2,1,1,1,1,1,1] => 6
[2,2,2,1,1,1,1,1,1,1,1] => 8
[2,2,1,1,1,1,1,1,1,1,1,1] => 10
[2,1,1,1,1,1,1,1,1,1,1,1,1] => 12
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 14
[15] => 1
[14,1] => 1
[13,2] => 1
[13,1,1] => 2
[12,3] => 1
[12,2,1] => 1
[12,1,1,1] => 3
[11,4] => 1
[11,3,1] => 1
[11,2,2] => 2
[11,2,1,1] => 2
[11,1,1,1,1] => 4
[10,5] => 1
[10,4,1] => 1
[10,3,2] => 1
[10,3,1,1] => 2
[10,2,2,1] => 2
[10,2,1,1,1] => 3
[10,1,1,1,1,1] => 5
[9,6] => 1
[9,5,1] => 1
[9,4,2] => 1
[9,4,1,1] => 2
[9,3,3] => 2
[9,3,2,1] => 1
[9,3,1,1,1] => 3
[9,2,2,2] => 3
[9,2,2,1,1] => 2
[9,2,1,1,1,1] => 4
[9,1,1,1,1,1,1] => 6
[8,7] => 1
[8,6,1] => 1
[8,5,2] => 1
[8,5,1,1] => 2
[8,4,3] => 1
[8,4,2,1] => 1
[8,4,1,1,1] => 3
[8,3,3,1] => 2
[8,3,2,2] => 2
[8,3,2,1,1] => 2
[8,3,1,1,1,1] => 4
[8,2,2,2,1] => 3
[8,2,2,1,1,1] => 3
[8,2,1,1,1,1,1] => 5
[8,1,1,1,1,1,1,1] => 7
[7,7,1] => 2
[7,6,2] => 1
[7,6,1,1] => 2
[7,5,3] => 1
[7,5,2,1] => 1
[7,5,1,1,1] => 3
[7,4,4] => 2
[7,4,3,1] => 1
[7,4,2,2] => 2
[7,4,2,1,1] => 2
[7,4,1,1,1,1] => 4
[7,3,3,2] => 2
[7,3,3,1,1] => 2
[7,3,2,2,1] => 2
[7,3,2,1,1,1] => 3
[7,3,1,1,1,1,1] => 5
[7,2,2,2,2] => 4
[7,2,2,2,1,1] => 3
[7,2,2,1,1,1,1] => 4
[7,2,1,1,1,1,1,1] => 6
[7,1,1,1,1,1,1,1,1] => 8
[6,6,3] => 2
[6,6,2,1] => 2
[6,6,1,1,1] => 3
[6,5,4] => 1
[6,5,3,1] => 1
[6,5,2,2] => 2
[6,5,2,1,1] => 2
[6,5,1,1,1,1] => 4
[6,4,4,1] => 2
[6,4,3,2] => 1
[6,4,3,1,1] => 2
[6,4,2,2,1] => 2
[6,4,2,1,1,1] => 3
[6,4,1,1,1,1,1] => 5
[6,3,3,3] => 3
[6,3,3,2,1] => 2
[6,3,3,1,1,1] => 3
[6,3,2,2,2] => 3
[6,3,2,2,1,1] => 2
[6,3,2,1,1,1,1] => 4
[6,3,1,1,1,1,1,1] => 6
[6,2,2,2,2,1] => 4
[6,2,2,2,1,1,1] => 3
[6,2,2,1,1,1,1,1] => 5
[6,2,1,1,1,1,1,1,1] => 7
[6,1,1,1,1,1,1,1,1,1] => 9
[5,5,5] => 3
[5,5,4,1] => 2
[5,5,3,2] => 2
[5,5,3,1,1] => 2
[5,5,2,2,1] => 2
[5,5,2,1,1,1] => 3
[5,5,1,1,1,1,1] => 5
[5,4,4,2] => 2
[5,4,4,1,1] => 2
[5,4,3,3] => 2
[5,4,3,2,1] => 1
[5,4,3,1,1,1] => 3
[5,4,2,2,2] => 3
[5,4,2,2,1,1] => 2
[5,4,2,1,1,1,1] => 4
[5,4,1,1,1,1,1,1] => 6
[5,3,3,3,1] => 3
[5,3,3,2,2] => 2
[5,3,3,2,1,1] => 2
[5,3,3,1,1,1,1] => 4
[5,3,2,2,2,1] => 3
[5,3,2,2,1,1,1] => 3
[5,3,2,1,1,1,1,1] => 5
[5,3,1,1,1,1,1,1,1] => 7
[5,2,2,2,2,2] => 5
[5,2,2,2,2,1,1] => 4
[5,2,2,2,1,1,1,1] => 4
[5,2,2,1,1,1,1,1,1] => 6
[5,2,1,1,1,1,1,1,1,1] => 8
[5,1,1,1,1,1,1,1,1,1,1] => 10
[4,4,4,3] => 3
[4,4,4,2,1] => 3
[4,4,4,1,1,1] => 3
[4,4,3,3,1] => 2
[4,4,3,2,2] => 2
[4,4,3,2,1,1] => 2
[4,4,3,1,1,1,1] => 4
[4,4,2,2,2,1] => 3
[4,4,2,2,1,1,1] => 3
[4,4,2,1,1,1,1,1] => 5
[4,4,1,1,1,1,1,1,1] => 7
[4,3,3,3,2] => 3
[4,3,3,3,1,1] => 3
[4,3,3,2,2,1] => 2
[4,3,3,2,1,1,1] => 3
[4,3,3,1,1,1,1,1] => 5
[4,3,2,2,2,2] => 4
[4,3,2,2,2,1,1] => 3
[4,3,2,2,1,1,1,1] => 4
[4,3,2,1,1,1,1,1,1] => 6
[4,3,1,1,1,1,1,1,1,1] => 8
[4,2,2,2,2,2,1] => 5
[4,2,2,2,2,1,1,1] => 4
[4,2,2,2,1,1,1,1,1] => 5
[4,2,2,1,1,1,1,1,1,1] => 7
[4,2,1,1,1,1,1,1,1,1,1] => 9
[4,1,1,1,1,1,1,1,1,1,1,1] => 11
[3,3,3,3,3] => 5
[3,3,3,3,2,1] => 4
[3,3,3,3,1,1,1] => 4
[3,3,3,2,2,2] => 3
[3,3,3,2,2,1,1] => 3
[3,3,3,2,1,1,1,1] => 4
[3,3,3,1,1,1,1,1,1] => 6
[3,3,2,2,2,2,1] => 4
[3,3,2,2,2,1,1,1] => 3
[3,3,2,2,1,1,1,1,1] => 5
[3,3,2,1,1,1,1,1,1,1] => 7
[3,3,1,1,1,1,1,1,1,1,1] => 9
[3,2,2,2,2,2,2] => 6
[3,2,2,2,2,2,1,1] => 5
[3,2,2,2,2,1,1,1,1] => 4
[3,2,2,2,1,1,1,1,1,1] => 6
[3,2,2,1,1,1,1,1,1,1,1] => 8
[3,2,1,1,1,1,1,1,1,1,1,1] => 10
[3,1,1,1,1,1,1,1,1,1,1,1,1] => 12
[2,2,2,2,2,2,2,1] => 7
[2,2,2,2,2,2,1,1,1] => 6
[2,2,2,2,2,1,1,1,1,1] => 5
[2,2,2,2,1,1,1,1,1,1,1] => 7
[2,2,2,1,1,1,1,1,1,1,1,1] => 9
[2,2,1,1,1,1,1,1,1,1,1,1,1] => 11
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 13
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 15
[16] => 1
[15,1] => 1
[14,2] => 1
[14,1,1] => 2
[13,3] => 1
[13,2,1] => 1
[13,1,1,1] => 3
[12,4] => 1
[12,3,1] => 1
[12,2,2] => 2
[12,2,1,1] => 2
[12,1,1,1,1] => 4
[11,5] => 1
[11,4,1] => 1
[11,3,2] => 1
[11,3,1,1] => 2
[11,2,2,1] => 2
[11,2,1,1,1] => 3
[11,1,1,1,1,1] => 5
[10,6] => 1
[10,5,1] => 1
[10,4,2] => 1
[10,4,1,1] => 2
[10,3,3] => 2
[10,3,2,1] => 1
[10,3,1,1,1] => 3
[10,2,2,2] => 3
[10,2,2,1,1] => 2
[10,2,1,1,1,1] => 4
[10,1,1,1,1,1,1] => 6
[9,7] => 1
[9,6,1] => 1
[9,5,2] => 1
[9,5,1,1] => 2
[9,4,3] => 1
[9,4,2,1] => 1
[9,4,1,1,1] => 3
[9,3,3,1] => 2
[9,3,2,2] => 2
[9,3,2,1,1] => 2
[9,3,1,1,1,1] => 4
[9,2,2,2,1] => 3
[9,2,2,1,1,1] => 3
[9,2,1,1,1,1,1] => 5
[9,1,1,1,1,1,1,1] => 7
[8,8] => 2
[8,7,1] => 1
[8,6,2] => 1
[8,6,1,1] => 2
[8,5,3] => 1
[8,5,2,1] => 1
[8,5,1,1,1] => 3
[8,4,4] => 2
[8,4,3,1] => 1
[8,4,2,2] => 2
[8,4,2,1,1] => 2
[8,4,1,1,1,1] => 4
[8,3,3,2] => 2
[8,3,3,1,1] => 2
[8,3,2,2,1] => 2
[8,3,2,1,1,1] => 3
[8,3,1,1,1,1,1] => 5
[8,2,2,2,2] => 4
[8,2,2,2,1,1] => 3
[8,2,2,1,1,1,1] => 4
[8,2,1,1,1,1,1,1] => 6
[8,1,1,1,1,1,1,1,1] => 8
[7,7,2] => 2
[7,7,1,1] => 2
[7,6,3] => 1
[7,6,2,1] => 1
[7,6,1,1,1] => 3
[7,5,4] => 1
[7,5,3,1] => 1
[7,5,2,2] => 2
[7,5,2,1,1] => 2
[7,5,1,1,1,1] => 4
[7,4,4,1] => 2
[7,4,3,2] => 1
[7,4,3,1,1] => 2
[7,4,2,2,1] => 2
[7,4,2,1,1,1] => 3
[7,4,1,1,1,1,1] => 5
[7,3,3,3] => 3
[7,3,3,2,1] => 2
[7,3,3,1,1,1] => 3
[7,3,2,2,2] => 3
[7,3,2,2,1,1] => 2
[7,3,2,1,1,1,1] => 4
[7,3,1,1,1,1,1,1] => 6
[7,2,2,2,2,1] => 4
[7,2,2,2,1,1,1] => 3
[7,2,2,1,1,1,1,1] => 5
[7,2,1,1,1,1,1,1,1] => 7
[7,1,1,1,1,1,1,1,1,1] => 9
[6,6,4] => 2
[6,6,3,1] => 2
[6,6,2,2] => 2
[6,6,2,1,1] => 2
[6,6,1,1,1,1] => 4
[6,5,5] => 2
[6,5,4,1] => 1
[6,5,3,2] => 1
[6,5,3,1,1] => 2
[6,5,2,2,1] => 2
[6,5,2,1,1,1] => 3
[6,5,1,1,1,1,1] => 5
[6,4,4,2] => 2
[6,4,4,1,1] => 2
[6,4,3,3] => 2
[6,4,3,2,1] => 1
[6,4,3,1,1,1] => 3
[6,4,2,2,2] => 3
[6,4,2,2,1,1] => 2
[6,4,2,1,1,1,1] => 4
[6,4,1,1,1,1,1,1] => 6
[6,3,3,3,1] => 3
[6,3,3,2,2] => 2
[6,3,3,2,1,1] => 2
[6,3,3,1,1,1,1] => 4
[6,3,2,2,2,1] => 3
[6,3,2,2,1,1,1] => 3
[6,3,2,1,1,1,1,1] => 5
[6,3,1,1,1,1,1,1,1] => 7
[6,2,2,2,2,2] => 5
[6,2,2,2,2,1,1] => 4
[6,2,2,2,1,1,1,1] => 4
[6,2,2,1,1,1,1,1,1] => 6
[6,2,1,1,1,1,1,1,1,1] => 8
[6,1,1,1,1,1,1,1,1,1,1] => 10
[5,5,5,1] => 3
[5,5,4,2] => 2
[5,5,4,1,1] => 2
[5,5,3,3] => 2
[5,5,3,2,1] => 2
[5,5,3,1,1,1] => 3
[5,5,2,2,2] => 3
[5,5,2,2,1,1] => 2
[5,5,2,1,1,1,1] => 4
[5,5,1,1,1,1,1,1] => 6
[5,4,4,3] => 2
[5,4,4,2,1] => 2
[5,4,4,1,1,1] => 3
[5,4,3,3,1] => 2
[5,4,3,2,2] => 2
[5,4,3,2,1,1] => 2
[5,4,3,1,1,1,1] => 4
[5,4,2,2,2,1] => 3
[5,4,2,2,1,1,1] => 3
[5,4,2,1,1,1,1,1] => 5
[5,4,1,1,1,1,1,1,1] => 7
[5,3,3,3,2] => 3
[5,3,3,3,1,1] => 3
[5,3,3,2,2,1] => 2
[5,3,3,2,1,1,1] => 3
[5,3,3,1,1,1,1,1] => 5
[5,3,2,2,2,2] => 4
[5,3,2,2,2,1,1] => 3
[5,3,2,2,1,1,1,1] => 4
[5,3,2,1,1,1,1,1,1] => 6
[5,3,1,1,1,1,1,1,1,1] => 8
[5,2,2,2,2,2,1] => 5
[5,2,2,2,2,1,1,1] => 4
[5,2,2,2,1,1,1,1,1] => 5
[5,2,2,1,1,1,1,1,1,1] => 7
[5,2,1,1,1,1,1,1,1,1,1] => 9
[5,1,1,1,1,1,1,1,1,1,1,1] => 11
[4,4,4,4] => 4
[4,4,4,3,1] => 3
[4,4,4,2,2] => 3
[4,4,4,2,1,1] => 3
[4,4,4,1,1,1,1] => 4
[4,4,3,3,2] => 2
[4,4,3,3,1,1] => 2
[4,4,3,2,2,1] => 2
[4,4,3,2,1,1,1] => 3
[4,4,3,1,1,1,1,1] => 5
[4,4,2,2,2,2] => 4
[4,4,2,2,2,1,1] => 3
[4,4,2,2,1,1,1,1] => 4
[4,4,2,1,1,1,1,1,1] => 6
[4,4,1,1,1,1,1,1,1,1] => 8
[4,3,3,3,3] => 4
[4,3,3,3,2,1] => 3
[4,3,3,3,1,1,1] => 3
[4,3,3,2,2,2] => 3
[4,3,3,2,2,1,1] => 2
[4,3,3,2,1,1,1,1] => 4
[4,3,3,1,1,1,1,1,1] => 6
[4,3,2,2,2,2,1] => 4
[4,3,2,2,2,1,1,1] => 3
[4,3,2,2,1,1,1,1,1] => 5
[4,3,2,1,1,1,1,1,1,1] => 7
[4,3,1,1,1,1,1,1,1,1,1] => 9
[4,2,2,2,2,2,2] => 6
[4,2,2,2,2,2,1,1] => 5
[4,2,2,2,2,1,1,1,1] => 4
[4,2,2,2,1,1,1,1,1,1] => 6
[4,2,2,1,1,1,1,1,1,1,1] => 8
[4,2,1,1,1,1,1,1,1,1,1,1] => 10
[4,1,1,1,1,1,1,1,1,1,1,1,1] => 12
[3,3,3,3,3,1] => 5
[3,3,3,3,2,2] => 4
[3,3,3,3,2,1,1] => 4
[3,3,3,3,1,1,1,1] => 4
[3,3,3,2,2,2,1] => 3
[3,3,3,2,2,1,1,1] => 3
[3,3,3,2,1,1,1,1,1] => 5
[3,3,3,1,1,1,1,1,1,1] => 7
[3,3,2,2,2,2,2] => 5
[3,3,2,2,2,2,1,1] => 4
[3,3,2,2,2,1,1,1,1] => 4
[3,3,2,2,1,1,1,1,1,1] => 6
[3,3,2,1,1,1,1,1,1,1,1] => 8
[3,3,1,1,1,1,1,1,1,1,1,1] => 10
[3,2,2,2,2,2,2,1] => 6
[3,2,2,2,2,2,1,1,1] => 5
[3,2,2,2,2,1,1,1,1,1] => 5
[3,2,2,2,1,1,1,1,1,1,1] => 7
[3,2,2,1,1,1,1,1,1,1,1,1] => 9
[3,2,1,1,1,1,1,1,1,1,1,1,1] => 11
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 13
[2,2,2,2,2,2,2,2] => 8
[2,2,2,2,2,2,2,1,1] => 7
[2,2,2,2,2,2,1,1,1,1] => 6
[2,2,2,2,2,1,1,1,1,1,1] => 6
[2,2,2,2,1,1,1,1,1,1,1,1] => 8
[2,2,2,1,1,1,1,1,1,1,1,1,1] => 10
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 12
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 14
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 16
[17] => 1
[16,1] => 1
[15,2] => 1
[15,1,1] => 2
[14,3] => 1
[14,2,1] => 1
[14,1,1,1] => 3
[13,4] => 1
[13,3,1] => 1
[13,2,2] => 2
[13,2,1,1] => 2
[13,1,1,1,1] => 4
[12,5] => 1
[12,4,1] => 1
[12,3,2] => 1
[12,3,1,1] => 2
[12,2,2,1] => 2
[12,2,1,1,1] => 3
[12,1,1,1,1,1] => 5
[11,6] => 1
[11,5,1] => 1
[11,4,2] => 1
[11,4,1,1] => 2
[11,3,3] => 2
[11,3,2,1] => 1
[11,3,1,1,1] => 3
[11,2,2,2] => 3
[11,2,2,1,1] => 2
[11,2,1,1,1,1] => 4
[11,1,1,1,1,1,1] => 6
[10,7] => 1
[10,6,1] => 1
[10,5,2] => 1
[10,5,1,1] => 2
[10,4,3] => 1
[10,4,2,1] => 1
[10,4,1,1,1] => 3
[10,3,3,1] => 2
[10,3,2,2] => 2
[10,3,2,1,1] => 2
[10,3,1,1,1,1] => 4
[10,2,2,2,1] => 3
[10,2,2,1,1,1] => 3
[10,2,1,1,1,1,1] => 5
[10,1,1,1,1,1,1,1] => 7
[9,8] => 1
[9,7,1] => 1
[9,6,2] => 1
[9,6,1,1] => 2
[9,5,3] => 1
[9,5,2,1] => 1
[9,5,1,1,1] => 3
[9,4,4] => 2
[9,4,3,1] => 1
[9,4,2,2] => 2
[9,4,2,1,1] => 2
[9,4,1,1,1,1] => 4
[9,3,3,2] => 2
[9,3,3,1,1] => 2
[9,3,2,2,1] => 2
[9,3,2,1,1,1] => 3
[9,3,1,1,1,1,1] => 5
[9,2,2,2,2] => 4
[9,2,2,2,1,1] => 3
[9,2,2,1,1,1,1] => 4
[9,2,1,1,1,1,1,1] => 6
[9,1,1,1,1,1,1,1,1] => 8
[8,8,1] => 2
[8,7,2] => 1
[8,7,1,1] => 2
[8,6,3] => 1
[8,6,2,1] => 1
[8,6,1,1,1] => 3
[8,5,4] => 1
[8,5,3,1] => 1
[8,5,2,2] => 2
[8,5,2,1,1] => 2
[8,5,1,1,1,1] => 4
[8,4,4,1] => 2
[8,4,3,2] => 1
[8,4,3,1,1] => 2
[8,4,2,2,1] => 2
[8,4,2,1,1,1] => 3
[8,4,1,1,1,1,1] => 5
[8,3,3,3] => 3
[8,3,3,2,1] => 2
[8,3,3,1,1,1] => 3
[8,3,2,2,2] => 3
[8,3,2,2,1,1] => 2
[8,3,2,1,1,1,1] => 4
[8,3,1,1,1,1,1,1] => 6
[8,2,2,2,2,1] => 4
[8,2,2,2,1,1,1] => 3
[8,2,2,1,1,1,1,1] => 5
[8,2,1,1,1,1,1,1,1] => 7
[8,1,1,1,1,1,1,1,1,1] => 9
[7,7,3] => 2
[7,7,2,1] => 2
[7,7,1,1,1] => 3
[7,6,4] => 1
[7,6,3,1] => 1
[7,6,2,2] => 2
[7,6,2,1,1] => 2
[7,6,1,1,1,1] => 4
[7,5,5] => 2
[7,5,4,1] => 1
[7,5,3,2] => 1
[7,5,3,1,1] => 2
[7,5,2,2,1] => 2
[7,5,2,1,1,1] => 3
[7,5,1,1,1,1,1] => 5
[7,4,4,2] => 2
[7,4,4,1,1] => 2
[7,4,3,3] => 2
[7,4,3,2,1] => 1
[7,4,3,1,1,1] => 3
[7,4,2,2,2] => 3
[7,4,2,2,1,1] => 2
[7,4,2,1,1,1,1] => 4
[7,4,1,1,1,1,1,1] => 6
[7,3,3,3,1] => 3
[7,3,3,2,2] => 2
[7,3,3,2,1,1] => 2
[7,3,3,1,1,1,1] => 4
[7,3,2,2,2,1] => 3
[7,3,2,2,1,1,1] => 3
[7,3,2,1,1,1,1,1] => 5
[7,3,1,1,1,1,1,1,1] => 7
[7,2,2,2,2,2] => 5
[7,2,2,2,2,1,1] => 4
[7,2,2,2,1,1,1,1] => 4
[7,2,2,1,1,1,1,1,1] => 6
[7,2,1,1,1,1,1,1,1,1] => 8
[7,1,1,1,1,1,1,1,1,1,1] => 10
[6,6,5] => 2
[6,6,4,1] => 2
[6,6,3,2] => 2
[6,6,3,1,1] => 2
[6,6,2,2,1] => 2
[6,6,2,1,1,1] => 3
[6,6,1,1,1,1,1] => 5
[6,5,5,1] => 2
[6,5,4,2] => 1
[6,5,4,1,1] => 2
[6,5,3,3] => 2
[6,5,3,2,1] => 1
[6,5,3,1,1,1] => 3
[6,5,2,2,2] => 3
[6,5,2,2,1,1] => 2
[6,5,2,1,1,1,1] => 4
[6,5,1,1,1,1,1,1] => 6
[6,4,4,3] => 2
[6,4,4,2,1] => 2
[6,4,4,1,1,1] => 3
[6,4,3,3,1] => 2
[6,4,3,2,2] => 2
[6,4,3,2,1,1] => 2
[6,4,3,1,1,1,1] => 4
[6,4,2,2,2,1] => 3
[6,4,2,2,1,1,1] => 3
[6,4,2,1,1,1,1,1] => 5
[6,4,1,1,1,1,1,1,1] => 7
[6,3,3,3,2] => 3
[6,3,3,3,1,1] => 3
[6,3,3,2,2,1] => 2
[6,3,3,2,1,1,1] => 3
[6,3,3,1,1,1,1,1] => 5
[6,3,2,2,2,2] => 4
[6,3,2,2,2,1,1] => 3
[6,3,2,2,1,1,1,1] => 4
[6,3,2,1,1,1,1,1,1] => 6
[6,3,1,1,1,1,1,1,1,1] => 8
[6,2,2,2,2,2,1] => 5
[6,2,2,2,2,1,1,1] => 4
[6,2,2,2,1,1,1,1,1] => 5
[6,2,2,1,1,1,1,1,1,1] => 7
[6,2,1,1,1,1,1,1,1,1,1] => 9
[6,1,1,1,1,1,1,1,1,1,1,1] => 11
[5,5,5,2] => 3
[5,5,5,1,1] => 3
[5,5,4,3] => 2
[5,5,4,2,1] => 2
[5,5,4,1,1,1] => 3
[5,5,3,3,1] => 2
[5,5,3,2,2] => 2
[5,5,3,2,1,1] => 2
[5,5,3,1,1,1,1] => 4
[5,5,2,2,2,1] => 3
[5,5,2,2,1,1,1] => 3
[5,5,2,1,1,1,1,1] => 5
[5,5,1,1,1,1,1,1,1] => 7
[5,4,4,4] => 3
[5,4,4,3,1] => 2
[5,4,4,2,2] => 2
[5,4,4,2,1,1] => 2
[5,4,4,1,1,1,1] => 4
[5,4,3,3,2] => 2
[5,4,3,3,1,1] => 2
[5,4,3,2,2,1] => 2
[5,4,3,2,1,1,1] => 3
[5,4,3,1,1,1,1,1] => 5
[5,4,2,2,2,2] => 4
[5,4,2,2,2,1,1] => 3
[5,4,2,2,1,1,1,1] => 4
[5,4,2,1,1,1,1,1,1] => 6
[5,4,1,1,1,1,1,1,1,1] => 8
[5,3,3,3,3] => 4
[5,3,3,3,2,1] => 3
[5,3,3,3,1,1,1] => 3
[5,3,3,2,2,2] => 3
[5,3,3,2,2,1,1] => 2
[5,3,3,2,1,1,1,1] => 4
[5,3,3,1,1,1,1,1,1] => 6
[5,3,2,2,2,2,1] => 4
[5,3,2,2,2,1,1,1] => 3
[5,3,2,2,1,1,1,1,1] => 5
[5,3,2,1,1,1,1,1,1,1] => 7
[5,3,1,1,1,1,1,1,1,1,1] => 9
[5,2,2,2,2,2,2] => 6
[5,2,2,2,2,2,1,1] => 5
[5,2,2,2,2,1,1,1,1] => 4
[5,2,2,2,1,1,1,1,1,1] => 6
[5,2,2,1,1,1,1,1,1,1,1] => 8
[5,2,1,1,1,1,1,1,1,1,1,1] => 10
[5,1,1,1,1,1,1,1,1,1,1,1,1] => 12
[4,4,4,4,1] => 4
[4,4,4,3,2] => 3
[4,4,4,3,1,1] => 3
[4,4,4,2,2,1] => 3
[4,4,4,2,1,1,1] => 3
[4,4,4,1,1,1,1,1] => 5
[4,4,3,3,3] => 3
[4,4,3,3,2,1] => 2
[4,4,3,3,1,1,1] => 3
[4,4,3,2,2,2] => 3
[4,4,3,2,2,1,1] => 2
[4,4,3,2,1,1,1,1] => 4
[4,4,3,1,1,1,1,1,1] => 6
[4,4,2,2,2,2,1] => 4
[4,4,2,2,2,1,1,1] => 3
[4,4,2,2,1,1,1,1,1] => 5
[4,4,2,1,1,1,1,1,1,1] => 7
[4,4,1,1,1,1,1,1,1,1,1] => 9
[4,3,3,3,3,1] => 4
[4,3,3,3,2,2] => 3
[4,3,3,3,2,1,1] => 3
[4,3,3,3,1,1,1,1] => 4
[4,3,3,2,2,2,1] => 3
[4,3,3,2,2,1,1,1] => 3
[4,3,3,2,1,1,1,1,1] => 5
[4,3,3,1,1,1,1,1,1,1] => 7
[4,3,2,2,2,2,2] => 5
[4,3,2,2,2,2,1,1] => 4
[4,3,2,2,2,1,1,1,1] => 4
[4,3,2,2,1,1,1,1,1,1] => 6
[4,3,2,1,1,1,1,1,1,1,1] => 8
[4,3,1,1,1,1,1,1,1,1,1,1] => 10
[4,2,2,2,2,2,2,1] => 6
[4,2,2,2,2,2,1,1,1] => 5
[4,2,2,2,2,1,1,1,1,1] => 5
[4,2,2,2,1,1,1,1,1,1,1] => 7
[4,2,2,1,1,1,1,1,1,1,1,1] => 9
[4,2,1,1,1,1,1,1,1,1,1,1,1] => 11
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 13
[3,3,3,3,3,2] => 5
[3,3,3,3,3,1,1] => 5
[3,3,3,3,2,2,1] => 4
[3,3,3,3,2,1,1,1] => 4
[3,3,3,3,1,1,1,1,1] => 5
[3,3,3,2,2,2,2] => 4
[3,3,3,2,2,2,1,1] => 3
[3,3,3,2,2,1,1,1,1] => 4
[3,3,3,2,1,1,1,1,1,1] => 6
[3,3,3,1,1,1,1,1,1,1,1] => 8
[3,3,2,2,2,2,2,1] => 5
[3,3,2,2,2,2,1,1,1] => 4
[3,3,2,2,2,1,1,1,1,1] => 5
[3,3,2,2,1,1,1,1,1,1,1] => 7
[3,3,2,1,1,1,1,1,1,1,1,1] => 9
[3,3,1,1,1,1,1,1,1,1,1,1,1] => 11
[3,2,2,2,2,2,2,2] => 7
[3,2,2,2,2,2,2,1,1] => 6
[3,2,2,2,2,2,1,1,1,1] => 5
[3,2,2,2,2,1,1,1,1,1,1] => 6
[3,2,2,2,1,1,1,1,1,1,1,1] => 8
[3,2,2,1,1,1,1,1,1,1,1,1,1] => 10
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,0,1 2,2,0,1 3,2,1,0,1 4,3,2,1,0,1 5,4,3,1,1,0,1 6,7,3,3,1,1,0,1 8,8,6,3,2,1,1,0,1 10,12,7,5,3,2,1,1,0,1 12,15,11,6,5,2,2,1,1,0,1 15,21,14,10,5,5,2,2,1,1,0,1 18,26,20,12,9,5,4,2,2,1,1,0,1
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = 2\ q + q^{3}$
$F_{4} = 2\ q + 2\ q^{2} + q^{4}$
$F_{5} = 3\ q + 2\ q^{2} + q^{3} + q^{5}$
$F_{6} = 4\ q + 3\ q^{2} + 2\ q^{3} + q^{4} + q^{6}$
$F_{7} = 5\ q + 4\ q^{2} + 3\ q^{3} + q^{4} + q^{5} + q^{7}$
$F_{8} = 6\ q + 7\ q^{2} + 3\ q^{3} + 3\ q^{4} + q^{5} + q^{6} + q^{8}$
$F_{9} = 8\ q + 8\ q^{2} + 6\ q^{3} + 3\ q^{4} + 2\ q^{5} + q^{6} + q^{7} + q^{9}$
$F_{10} = 10\ q + 12\ q^{2} + 7\ q^{3} + 5\ q^{4} + 3\ q^{5} + 2\ q^{6} + q^{7} + q^{8} + q^{10}$
$F_{11} = 12\ q + 15\ q^{2} + 11\ q^{3} + 6\ q^{4} + 5\ q^{5} + 2\ q^{6} + 2\ q^{7} + q^{8} + q^{9} + q^{11}$
$F_{12} = 15\ q + 21\ q^{2} + 14\ q^{3} + 10\ q^{4} + 5\ q^{5} + 5\ q^{6} + 2\ q^{7} + 2\ q^{8} + q^{9} + q^{10} + q^{12}$
$F_{13} = 18\ q + 26\ q^{2} + 20\ q^{3} + 12\ q^{4} + 9\ q^{5} + 5\ q^{6} + 4\ q^{7} + 2\ q^{8} + 2\ q^{9} + q^{10} + q^{11} + q^{13}$
$F_{14} = 22\ q + 35\ q^{2} + 25\ q^{3} + 18\ q^{4} + 11\ q^{5} + 8\ q^{6} + 5\ q^{7} + 4\ q^{8} + 2\ q^{9} + 2\ q^{10} + q^{11} + q^{12} + q^{14}$
$F_{15} = 27\ q + 43\ q^{2} + 35\ q^{3} + 22\ q^{4} + 16\ q^{5} + 10\ q^{6} + 8\ q^{7} + 4\ q^{8} + 4\ q^{9} + 2\ q^{10} + 2\ q^{11} + q^{12} + q^{13} + q^{15}$
$F_{16} = 32\ q + 57\ q^{2} + 43\ q^{3} + 32\ q^{4} + 20\ q^{5} + 15\ q^{6} + 9\ q^{7} + 8\ q^{8} + 4\ q^{9} + 4\ q^{10} + 2\ q^{11} + 2\ q^{12} + q^{13} + q^{14} + q^{16}$
Description
The largest multiplicity of a part in an integer partition.
Code
def statistic(pi):
return max(pi.to_exp(), default=0)
Created
Nov 24, 2023 at 15:29 by Martin Rubey
Updated
Nov 24, 2023 at 15:29 by Martin Rubey
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