Your data matches 1 statistic following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St000515
Mapping
St000515: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2]
 => 2
[1,1]
 => 2
[3]
 => 2
[2,1]
 => 3
[1,1,1]
 => 5
[4]
 => 3
[3,1]
 => 3
[2,2]
 => 7
[2,1,1]
 => 7
[1,1,1,1]
 => 15
[5]
 => 2
[4,1]
 => 4
[3,2]
 => 5
[3,1,1]
 => 7
[2,2,1]
 => 12
[2,1,1,1]
 => 20
[1,1,1,1,1]
 => 52
[6]
 => 4
[5,1]
 => 3
[4,2]
 => 9
[4,1,1]
 => 9
[3,3]
 => 8
[3,2,1]
 => 10
[3,1,1,1]
 => 20
[2,2,2]
 => 31
[2,2,1,1]
 => 31
[2,1,1,1,1]
 => 67
[1,1,1,1,1,1]
 => 203
[7]
 => 2
[6,1]
 => 5
[5,2]
 => 5
[5,1,1]
 => 7
[4,3]
 => 7
[4,2,1]
 => 15
[4,1,1,1]
 => 25
[3,3,1]
 => 13
[3,2,2]
 => 19
[3,2,1,1]
 => 27
[3,1,1,1,1]
 => 67
[2,2,2,1]
 => 59
[2,2,1,1,1]
 => 97
[2,1,1,1,1,1]
 => 255
[1,1,1,1,1,1,1]
 => 877
[8]
 => 4
[7,1]
 => 3
[6,2]
 => 11
[6,1,1]
 => 11
[5,3]
 => 5
[5,2,1]
 => 10
[5,1,1,1]
 => 20
Description
The number of invariant set partitions when acting with a permutation of given cycle type.