Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001768
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Mapping
St001768: Signed permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1] => 1
[-1] => 1
[1,2] => 1
[1,-2] => 1
[-1,2] => 1
[-1,-2] => 2
[2,1] => 1
[2,-1] => 1
[-2,1] => 1
[-2,-1] => 1
[1,2,3] => 1
[1,2,-3] => 1
[1,-2,3] => 1
[1,-2,-3] => 2
[-1,2,3] => 1
[-1,2,-3] => 4
[-1,-2,3] => 14
[-1,-2,-3] => 42
[1,3,2] => 1
[1,3,-2] => 1
[1,-3,2] => 1
[1,-3,-2] => 1
[-1,3,2] => 4
[-1,3,-2] => 9
[-1,-3,2] => 9
[-1,-3,-2] => 16
[2,1,3] => 1
[2,1,-3] => 2
[2,-1,3] => 1
[2,-1,-3] => 3
[-2,1,3] => 1
[-2,1,-3] => 3
[-2,-1,3] => 5
[-2,-1,-3] => 12
[2,3,1] => 1
[2,3,-1] => 1
[2,-3,1] => 2
[2,-3,-1] => 2
[-2,3,1] => 3
[-2,3,-1] => 5
[-2,-3,1] => 5
[-2,-3,-1] => 7
[3,1,2] => 1
[3,1,-2] => 2
[3,-1,2] => 3
[3,-1,-2] => 5
[-3,1,2] => 1
[-3,1,-2] => 2
[-3,-1,2] => 5
[-3,-1,-2] => 7
Description
The number of reduced words of a signed permutation. This is the number of ways to write a permutation as a minimal length product of simple reflections.