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Matching statistic: St001548
Mapping
St001548: Decorated permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[+,+] => 0
[-,+] => 1
[+,-] => 2
[-,-] => 3
[2,1] => 1
[+,+,+] => 0
[-,+,+] => 1
[+,-,+] => 2
[+,+,-] => 3
[-,-,+] => 3
[-,+,-] => 4
[+,-,-] => 5
[-,-,-] => 6
[+,3,2] => 2
[-,3,2] => 3
[2,1,+] => 1
[2,1,-] => 4
[2,3,1] => 1
[3,1,2] => 3
[3,+,1] => 1
[3,-,1] => 3
[+,+,+,+] => 0
[-,+,+,+] => 1
[+,-,+,+] => 2
[+,+,-,+] => 3
[+,+,+,-] => 4
[-,-,+,+] => 3
[-,+,-,+] => 4
[-,+,+,-] => 5
[+,-,-,+] => 5
[+,-,+,-] => 6
[+,+,-,-] => 7
[-,-,-,+] => 6
[-,-,+,-] => 7
[-,+,-,-] => 8
[+,-,-,-] => 9
[-,-,-,-] => 10
[+,+,4,3] => 3
[-,+,4,3] => 4
[+,-,4,3] => 5
[-,-,4,3] => 6
[+,3,2,+] => 2
[-,3,2,+] => 3
[+,3,2,-] => 6
[-,3,2,-] => 7
[+,3,4,2] => 2
[-,3,4,2] => 3
[+,4,2,3] => 5
[-,4,2,3] => 6
[+,4,+,2] => 2
Description
The sum of the indices of the first term of the associated Grassmann necklace. Here, we use Postnikov's map (p.59) from decorated permutations to Grassmann necklaces.