Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001899
Mapping
St001899: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 1
[1,1]
 => 1
[3]
 => 1
[2,1]
 => 2
[1,1,1]
 => 1
[4]
 => 2
[3,1]
 => 3
[2,2]
 => 2
[2,1,1]
 => 2
[1,1,1,1]
 => 1
[5]
 => 5
[4,1]
 => 6
[3,2]
 => 4
[3,1,1]
 => 4
[2,2,1]
 => 4
[2,1,1,1]
 => 2
[1,1,1,1,1]
 => 1
[6]
 => 12
[5,1]
 => 15
[4,2]
 => 9
[4,1,1]
 => 9
[3,3]
 => 4
[3,2,1]
 => 12
[3,1,1,1]
 => 4
[2,2,2]
 => 3
[2,2,1,1]
 => 5
[2,1,1,1,1]
 => 2
[1,1,1,1,1,1]
 => 1
[7]
 => 33
[6,1]
 => 38
[5,2]
 => 23
[5,1,1]
 => 23
[4,3]
 => 18
[4,2,1]
 => 28
[4,1,1,1]
 => 10
[3,3,1]
 => 12
[3,2,2]
 => 10
[3,2,1,1]
 => 18
[3,1,1,1,1]
 => 4
[2,2,2,1]
 => 7
[2,2,1,1,1]
 => 5
[2,1,1,1,1,1]
 => 2
[1,1,1,1,1,1,1]
 => 1
[8]
 => 94
[7,1]
 => 109
[6,2]
 => 64
[6,1,1]
 => 62
[5,3]
 => 49
[5,2,1]
 => 76
Description
The total number of irreducible representations contained in the higher Lie character for an integer partition.