Identifier
Values
[1] => 0
[-1] => 1
[1,2] => 0
[1,-2] => 1
[-1,2] => 1
[-1,-2] => 2
[2,1] => 0
[2,-1] => 1
[-2,1] => 1
[-2,-1] => 2
[1,2,3] => 0
[1,2,-3] => 1
[1,-2,3] => 1
[1,-2,-3] => 2
[-1,2,3] => 1
[-1,2,-3] => 2
[-1,-2,3] => 2
[-1,-2,-3] => 3
[1,3,2] => 0
[1,3,-2] => 1
[1,-3,2] => 1
[1,-3,-2] => 2
[-1,3,2] => 1
[-1,3,-2] => 2
[-1,-3,2] => 2
[-1,-3,-2] => 3
[2,1,3] => 0
[2,1,-3] => 1
[2,-1,3] => 1
[2,-1,-3] => 2
[-2,1,3] => 1
[-2,1,-3] => 2
[-2,-1,3] => 2
[-2,-1,-3] => 3
[2,3,1] => 0
[2,3,-1] => 1
[2,-3,1] => 1
[2,-3,-1] => 2
[-2,3,1] => 1
[-2,3,-1] => 2
[-2,-3,1] => 2
[-2,-3,-1] => 3
[3,1,2] => 0
[3,1,-2] => 1
[3,-1,2] => 1
[3,-1,-2] => 2
[-3,1,2] => 1
[-3,1,-2] => 2
[-3,-1,2] => 2
[-3,-1,-2] => 3
[3,2,1] => 0
[3,2,-1] => 1
[3,-2,1] => 1
[3,-2,-1] => 2
[-3,2,1] => 1
[-3,2,-1] => 2
[-3,-2,1] => 2
[-3,-2,-1] => 3
[1,2,3,4] => 0
[1,2,3,-4] => 1
[1,2,-3,4] => 1
[1,2,-3,-4] => 2
[1,-2,3,4] => 1
[1,-2,3,-4] => 2
[1,-2,-3,4] => 2
[1,-2,-3,-4] => 3
[-1,2,3,4] => 1
[-1,2,3,-4] => 2
[-1,2,-3,4] => 2
[-1,2,-3,-4] => 3
[-1,-2,3,4] => 2
[-1,-2,3,-4] => 3
[-1,-2,-3,4] => 3
[-1,-2,-3,-4] => 4
[1,2,4,3] => 0
[1,2,4,-3] => 1
[1,2,-4,3] => 1
[1,2,-4,-3] => 2
[1,-2,4,3] => 1
[1,-2,4,-3] => 2
[1,-2,-4,3] => 2
[1,-2,-4,-3] => 3
[-1,2,4,3] => 1
[-1,2,4,-3] => 2
[-1,2,-4,3] => 2
[-1,2,-4,-3] => 3
[-1,-2,4,3] => 2
[-1,-2,4,-3] => 3
[-1,-2,-4,3] => 3
[-1,-2,-4,-3] => 4
[1,3,2,4] => 0
[1,3,2,-4] => 1
[1,3,-2,4] => 1
[1,3,-2,-4] => 2
[1,-3,2,4] => 1
[1,-3,2,-4] => 2
[1,-3,-2,4] => 2
[1,-3,-2,-4] => 3
[-1,3,2,4] => 1
[-1,3,2,-4] => 2
[-1,3,-2,4] => 2
>>> Load all 1098 entries. <<<
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The number of negative entries in a signed permutation.
Code
def statistic(pi):
return sum(1 for a in pi if a < 0)
Created
Jun 21, 2019 at 13:47 by Christian Stump
Updated
Feb 10, 2022 at 21:08 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!