Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000484
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Mapping
St000484: Permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1] => 0
[1,2] => 0
[2,1] => 0
[1,2,3] => 1
[1,3,2] => 2
[2,1,3] => 2
[2,3,1] => 2
[3,1,2] => 2
[3,2,1] => 1
[1,2,3,4] => 5
[1,2,4,3] => 8
[1,3,2,4] => 9
[1,3,4,2] => 9
[1,4,2,3] => 10
[1,4,3,2] => 9
[2,1,3,4] => 8
[2,1,4,3] => 11
[2,3,1,4] => 10
[2,3,4,1] => 9
[2,4,1,3] => 11
[2,4,3,1] => 9
[3,1,2,4] => 9
[3,1,4,2] => 11
[3,2,1,4] => 9
[3,2,4,1] => 10
[3,4,1,2] => 11
[3,4,2,1] => 8
[4,1,2,3] => 9
[4,1,3,2] => 10
[4,2,1,3] => 9
[4,2,3,1] => 9
[4,3,1,2] => 8
[4,3,2,1] => 5
[1,2,3,4,5] => 16
[1,2,3,5,4] => 23
[1,2,4,3,5] => 26
[1,2,4,5,3] => 26
[1,2,5,3,4] => 29
[1,2,5,4,3] => 28
[1,3,2,4,5] => 26
[1,3,2,5,4] => 33
[1,3,4,2,5] => 30
[1,3,4,5,2] => 27
[1,3,5,2,4] => 33
[1,3,5,4,2] => 29
[1,4,2,3,5] => 30
[1,4,2,5,3] => 34
[1,4,3,2,5] => 32
[1,4,3,5,2] => 33
[1,4,5,2,3] => 34
Description
The sum of St000483 over all subsequences of length at least three.