Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000901
Mapping
St000901: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2]
 => 1
[1,1]
 => 1
[3]
 => 1
[2,1]
 => 8
[1,1,1]
 => 1
[4]
 => 1
[3,1]
 => 27
[2,2]
 => 8
[2,1,1]
 => 27
[1,1,1,1]
 => 1
[5]
 => 1
[4,1]
 => 64
[3,2]
 => 125
[3,1,1]
 => 216
[2,2,1]
 => 125
[2,1,1,1]
 => 64
[1,1,1,1,1]
 => 1
[6]
 => 1
[5,1]
 => 125
[4,2]
 => 729
[4,1,1]
 => 1000
[3,3]
 => 125
[3,2,1]
 => 4096
[3,1,1,1]
 => 1000
[2,2,2]
 => 125
[2,2,1,1]
 => 729
[2,1,1,1,1]
 => 125
[1,1,1,1,1,1]
 => 1
[7]
 => 1
[6,1]
 => 216
[5,2]
 => 2744
[5,1,1]
 => 3375
[4,3]
 => 2744
[4,2,1]
 => 42875
[4,1,1,1]
 => 8000
[3,3,1]
 => 9261
[3,2,2]
 => 9261
[3,2,1,1]
 => 42875
[3,1,1,1,1]
 => 3375
[2,2,2,1]
 => 2744
[2,2,1,1,1]
 => 2744
[2,1,1,1,1,1]
 => 216
[1,1,1,1,1,1,1]
 => 1
[8]
 => 1
[7,1]
 => 343
[6,2]
 => 8000
[6,1,1]
 => 9261
[5,3]
 => 21952
[5,2,1]
 => 262144
[5,1,1,1]
 => 42875
Description
The cube of the number of standard Young tableaux with shape given by the partition.