Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000514
Mapping
St000514: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2]
 => 2
[1,1]
 => 2
[3]
 => 2
[2,1]
 => 4
[1,1,1]
 => 8
[4]
 => 4
[3,1]
 => 4
[2,2]
 => 16
[2,1,1]
 => 16
[1,1,1,1]
 => 64
[5]
 => 4
[4,1]
 => 8
[3,2]
 => 8
[3,1,1]
 => 16
[2,2,1]
 => 64
[2,1,1,1]
 => 128
[1,1,1,1,1]
 => 1024
[6]
 => 8
[5,1]
 => 8
[4,2]
 => 32
[4,1,1]
 => 32
[3,3]
 => 32
[3,2,1]
 => 32
[3,1,1,1]
 => 128
[2,2,2]
 => 512
[2,2,1,1]
 => 512
[2,1,1,1,1]
 => 2048
[1,1,1,1,1,1]
 => 32768
[7]
 => 8
[6,1]
 => 16
[5,2]
 => 16
[5,1,1]
 => 32
[4,3]
 => 16
[4,2,1]
 => 128
[4,1,1,1]
 => 256
[3,3,1]
 => 128
[3,2,2]
 => 128
[3,2,1,1]
 => 256
[3,1,1,1,1]
 => 2048
[2,2,2,1]
 => 4096
[2,2,1,1,1]
 => 8192
[2,1,1,1,1,1]
 => 65536
[1,1,1,1,1,1,1]
 => 2097152
[8]
 => 16
[7,1]
 => 16
[6,2]
 => 64
[6,1,1]
 => 64
[5,3]
 => 16
[5,2,1]
 => 64
[5,1,1,1]
 => 256
Description
The number of invariant simple graphs when acting with a permutation of given cycle type.