Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000940
Mapping
St000940: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2]
 => 0
[1,1]
 => 0
[3]
 => 0
[2,1]
 => 1
[1,1,1]
 => 0
[4]
 => 1
[3,1]
 => 2
[2,2]
 => 0
[2,1,1]
 => 1
[1,1,1,1]
 => 0
[5]
 => 2
[4,1]
 => 3
[3,2]
 => 1
[3,1,1]
 => 1
[2,2,1]
 => 2
[2,1,1,1]
 => 1
[1,1,1,1,1]
 => 0
[6]
 => 5
[5,1]
 => 6
[4,2]
 => 3
[4,1,1]
 => 3
[3,3]
 => 2
[3,2,1]
 => 5
[3,1,1,1]
 => 2
[2,2,2]
 => 1
[2,2,1,1]
 => 1
[2,1,1,1,1]
 => 1
[1,1,1,1,1,1]
 => 0
[7]
 => 8
[6,1]
 => 9
[5,2]
 => 5
[5,1,1]
 => 5
[4,3]
 => 3
[4,2,1]
 => 7
[4,1,1,1]
 => 3
[3,3,1]
 => 6
[3,2,2]
 => 0
[3,2,1,1]
 => 3
[3,1,1,1,1]
 => 0
[2,2,2,1]
 => 5
[2,2,1,1,1]
 => 0
[2,1,1,1,1,1]
 => 1
[1,1,1,1,1,1,1]
 => 0
[8]
 => 14
[7,1]
 => 15
[6,2]
 => 10
[6,1,1]
 => 10
[5,3]
 => 7
[5,2,1]
 => 12
[5,1,1,1]
 => 7
Description
The number of characters of the symmetric group whose value on the partition is zero. The maximal value for any given size is recorded in [2].