Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001601
Mapping
St001601: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 1
[1,1]
 => 0
[3]
 => 1
[2,1]
 => 1
[1,1,1]
 => 0
[4]
 => 2
[3,1]
 => 2
[2,2]
 => 2
[2,1,1]
 => 1
[1,1,1,1]
 => 1
[5]
 => 3
[4,1]
 => 6
[3,2]
 => 6
[3,1,1]
 => 5
[2,2,1]
 => 5
[2,1,1,1]
 => 3
[1,1,1,1,1]
 => 1
[6]
 => 6
[5,1]
 => 14
[4,2]
 => 23
[4,1,1]
 => 18
[3,3]
 => 8
[3,2,1]
 => 28
[3,1,1,1]
 => 16
[2,2,2]
 => 10
[2,2,1,1]
 => 11
[2,1,1,1,1]
 => 7
[1,1,1,1,1,1]
 => 1
[7]
 => 11
[6,1]
 => 37
[5,2]
 => 68
[5,1,1]
 => 61
[4,3]
 => 59
[4,2,1]
 => 128
[4,1,1,1]
 => 64
[3,3,1]
 => 68
[3,2,2]
 => 69
[3,2,1,1]
 => 101
[3,1,1,1,1]
 => 41
[2,2,2,1]
 => 39
[2,2,1,1,1]
 => 33
[2,1,1,1,1,1]
 => 14
[1,1,1,1,1,1,1]
 => 2
[8]
 => 23
[7,1]
 => 92
[6,2]
 => 214
[6,1,1]
 => 191
[5,3]
 => 244
[5,2,1]
 => 507
Description
The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on trees.