Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001600
Mapping
St001600: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 2
[1,1]
 => 0
[3]
 => 4
[2,1]
 => 2
[1,1,1]
 => 0
[4]
 => 11
[3,1]
 => 9
[2,2]
 => 8
[2,1,1]
 => 3
[1,1,1,1]
 => 1
[5]
 => 34
[4,1]
 => 56
[3,2]
 => 58
[3,1,1]
 => 36
[2,2,1]
 => 38
[2,1,1,1]
 => 16
[1,1,1,1,1]
 => 6
[6]
 => 156
[5,1]
 => 388
[4,2]
 => 600
[4,1,1]
 => 460
[3,3]
 => 264
[3,2,1]
 => 712
[3,1,1,1]
 => 340
[2,2,2]
 => 240
[2,2,1,1]
 => 288
[2,1,1,1,1]
 => 148
[1,1,1,1,1,1]
 => 28
[7]
 => 1044
[6,1]
 => 4052
[5,2]
 => 8032
[5,1,1]
 => 7236
[4,3]
 => 7236
[4,2,1]
 => 15788
[4,1,1,1]
 => 7720
[3,3,1]
 => 8844
[3,2,2]
 => 8788
[3,2,1,1]
 => 12948
[3,1,1,1,1]
 => 5036
[2,2,2,1]
 => 5052
[2,2,1,1,1]
 => 4416
[2,1,1,1,1,1]
 => 1788
[1,1,1,1,1,1,1]
 => 252
[8]
 => 0
[7,1]
 => 0
[6,2]
 => 0
[6,1,1]
 => 0
[5,3]
 => 0
[5,2,1]
 => 0
Description
The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on simple graphs.