Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000810
Mapping
St000810: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 1
[1,1]
 => 3
[3]
 => 1
[2,1]
 => 2
[1,1,1]
 => 10
[4]
 => 1
[3,1]
 => 2
[2,2]
 => 3
[2,1,1]
 => 7
[1,1,1,1]
 => 47
[5]
 => 1
[4,1]
 => 2
[3,2]
 => 2
[3,1,1]
 => 6
[2,2,1]
 => 6
[2,1,1,1]
 => 26
[1,1,1,1,1]
 => 246
[6]
 => 1
[5,1]
 => 2
[4,2]
 => 2
[4,1,1]
 => 6
[3,3]
 => 3
[3,2,1]
 => 6
[3,1,1,1]
 => 24
[2,2,2]
 => 10
[2,2,1,1]
 => 26
[2,1,1,1,1]
 => 138
[1,1,1,1,1,1]
 => 1602
[7]
 => 1
[6,1]
 => 2
[5,2]
 => 2
[5,1,1]
 => 6
[4,3]
 => 2
[4,2,1]
 => 5
[4,1,1,1]
 => 23
[3,3,1]
 => 6
[3,2,2]
 => 6
[3,2,1,1]
 => 20
[3,1,1,1,1]
 => 114
[2,2,2,1]
 => 23
[2,2,1,1,1]
 => 105
[2,1,1,1,1,1]
 => 767
[1,1,1,1,1,1,1]
 => 11481
[8]
 => 1
[7,1]
 => 2
[6,2]
 => 2
[6,1,1]
 => 6
[5,3]
 => 2
[5,2,1]
 => 5
Description
The sum of the entries in the column specified by the partition of the change of basis matrix from powersum symmetric functions to monomial symmetric functions. For example, $p_{22} = 2m_{22} + m_4$, so the statistic on the partition $22$ is 3.