Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000812
Mapping
St000812: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 2
[1,1]
 => 3
[3]
 => 3
[2,1]
 => 6
[1,1,1]
 => 10
[4]
 => 5
[3,1]
 => 12
[2,2]
 => 16
[2,1,1]
 => 27
[1,1,1,1]
 => 47
[5]
 => 7
[4,1]
 => 20
[3,2]
 => 32
[3,1,1]
 => 56
[2,2,1]
 => 76
[2,1,1,1]
 => 136
[1,1,1,1,1]
 => 246
[6]
 => 11
[5,1]
 => 35
[4,2]
 => 65
[4,1,1]
 => 114
[3,3]
 => 79
[3,2,1]
 => 191
[3,1,1,1]
 => 344
[2,2,2]
 => 263
[2,2,1,1]
 => 476
[2,1,1,1,1]
 => 870
[1,1,1,1,1,1]
 => 1602
[7]
 => 15
[6,1]
 => 54
[5,2]
 => 113
[5,1,1]
 => 202
[4,3]
 => 160
[4,2,1]
 => 398
[4,1,1,1]
 => 727
[3,3,1]
 => 493
[3,2,2]
 => 685
[3,2,1,1]
 => 1261
[3,1,1,1,1]
 => 2335
[2,2,2,1]
 => 1765
[2,2,1,1,1]
 => 3280
[2,1,1,1,1,1]
 => 6124
[1,1,1,1,1,1,1]
 => 11481
[8]
 => 22
[7,1]
 => 86
[6,2]
 => 199
[6,1,1]
 => 357
[5,3]
 => 318
[5,2,1]
 => 800
Description
The sum of the entries in the column specified by the partition of the change of basis matrix from complete homogeneous symmetric functions to monomial symmetric functions. For example, $h_{11} = 2m_{11} + m_2$, so the statistic on the partition $11$ is 3.