Your data matches 1 statistic following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St001567
Mapping
St001567: Decorated permutations ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[+] => 1
[-] => 0
[+,+] => 2
[-,+] => 1
[+,-] => 1
[-,-] => 0
[2,1] => 1
[+,+,+] => 3
[-,+,+] => 2
[+,-,+] => 2
[+,+,-] => 2
[-,-,+] => 1
[-,+,-] => 1
[+,-,-] => 1
[-,-,-] => 0
[+,3,2] => 2
[-,3,2] => 1
[2,1,+] => 2
[2,1,-] => 1
[2,3,1] => 2
[3,1,2] => 1
[3,+,1] => 2
[3,-,1] => 1
[+,+,+,+] => 4
[-,+,+,+] => 3
[+,-,+,+] => 3
[+,+,-,+] => 3
[+,+,+,-] => 3
[-,-,+,+] => 2
[-,+,-,+] => 2
[-,+,+,-] => 2
[+,-,-,+] => 2
[+,-,+,-] => 2
[+,+,-,-] => 2
[-,-,-,+] => 1
[-,-,+,-] => 1
[-,+,-,-] => 1
[+,-,-,-] => 1
[-,-,-,-] => 0
[+,+,4,3] => 3
[-,+,4,3] => 2
[+,-,4,3] => 2
[-,-,4,3] => 1
[+,3,2,+] => 3
[-,3,2,+] => 2
[+,3,2,-] => 2
[-,3,2,-] => 1
[+,3,4,2] => 3
[-,3,4,2] => 2
[+,4,2,3] => 2
Description
The number of weak exceedances of a decorated permutation. A '''weak exceedance''' of a decorated permutation $\tau$ is a position $i$ such that $i > \tau(i)$ or $i = \tau(i)$ and $\tau(i)$ has positive decoration.