Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000088
Mapping
St000088: 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]
 => 3
[2,1]
 => 1
[1,1,1]
 => 1
[4]
 => 5
[3,1]
 => 2
[2,2]
 => 3
[2,1,1]
 => 2
[1,1,1,1]
 => 1
[5]
 => 7
[4,1]
 => 5
[3,2]
 => 6
[3,1,1]
 => 5
[2,2,1]
 => 4
[2,1,1,1]
 => 3
[1,1,1,1,1]
 => 1
[6]
 => 11
[5,1]
 => 8
[4,2]
 => 15
[4,1,1]
 => 10
[3,3]
 => 4
[3,2,1]
 => 13
[3,1,1,1]
 => 10
[2,2,2]
 => 8
[2,2,1,1]
 => 5
[2,1,1,1,1]
 => 4
[1,1,1,1,1,1]
 => 1
[7]
 => 15
[6,1]
 => 15
[5,2]
 => 26
[5,1,1]
 => 19
[4,3]
 => 18
[4,2,1]
 => 36
[4,1,1,1]
 => 21
[3,3,1]
 => 18
[3,2,2]
 => 22
[3,2,1,1]
 => 28
[3,1,1,1,1]
 => 13
[2,2,2,1]
 => 12
[2,2,1,1,1]
 => 10
[2,1,1,1,1,1]
 => 5
[1,1,1,1,1,1,1]
 => 1
[8]
 => 22
[7,1]
 => 23
[6,2]
 => 49
[6,1,1]
 => 33
[5,3]
 => 39
[5,2,1]
 => 78
Description
The row sums of the character table of the symmetric group. Equivalently, this is the multiplicity of the irreducible representation corresponding to the given partition in the adjoint representation of the symmetric group.