Identifier
Values
[1] => 0
[1,1] => 0
[1,2] => 1
[2,1] => 0
[1,1,1] => 0
[1,1,2] => 1
[1,2,1] => 0
[2,1,1] => 0
[1,1,3] => 1
[1,3,1] => 1
[3,1,1] => 0
[1,2,2] => 1
[2,1,2] => 0
[2,2,1] => 0
[1,2,3] => 3
[1,3,2] => 2
[2,1,3] => 2
[2,3,1] => 1
[3,1,2] => 1
[3,2,1] => 0
[1,1,1,1] => 0
[1,1,1,2] => 1
[1,1,2,1] => 0
[1,2,1,1] => 0
[2,1,1,1] => 0
[1,1,1,3] => 1
[1,1,3,1] => 1
[1,3,1,1] => 0
[3,1,1,1] => 0
[1,1,1,4] => 1
[1,1,4,1] => 1
[1,4,1,1] => 1
[4,1,1,1] => 0
[1,1,2,2] => 1
[1,2,1,2] => 0
[1,2,2,1] => 0
[2,1,1,2] => 0
[2,1,2,1] => 0
[2,2,1,1] => 0
[1,1,2,3] => 3
[1,1,3,2] => 2
[1,2,1,3] => 2
[1,2,3,1] => 1
[1,3,1,2] => 1
[1,3,2,1] => 0
[2,1,1,3] => 2
[2,1,3,1] => 1
[2,3,1,1] => 1
[3,1,1,2] => 1
[3,1,2,1] => 0
[3,2,1,1] => 0
[1,1,2,4] => 2
[1,1,4,2] => 2
[1,2,1,4] => 1
[1,2,4,1] => 1
[1,4,1,2] => 2
[1,4,2,1] => 1
[2,1,1,4] => 1
[2,1,4,1] => 1
[2,4,1,1] => 0
[4,1,1,2] => 1
[4,1,2,1] => 0
[4,2,1,1] => 0
[1,1,3,3] => 2
[1,3,1,3] => 2
[1,3,3,1] => 1
[3,1,1,3] => 1
[3,1,3,1] => 0
[3,3,1,1] => 0
[1,1,3,4] => 3
[1,1,4,3] => 2
[1,3,1,4] => 3
[1,3,4,1] => 3
[1,4,1,3] => 2
[1,4,3,1] => 2
[3,1,1,4] => 2
[3,1,4,1] => 2
[3,4,1,1] => 1
[4,1,1,3] => 1
[4,1,3,1] => 1
[4,3,1,1] => 0
[1,2,2,2] => 1
[2,1,2,2] => 0
[2,2,1,2] => 0
[2,2,2,1] => 0
[1,2,2,3] => 2
[1,2,3,2] => 1
[1,3,2,2] => 1
[2,1,2,3] => 1
[2,1,3,2] => 0
[2,2,1,3] => 1
[2,2,3,1] => 1
[2,3,1,2] => 0
[2,3,2,1] => 0
[3,1,2,2] => 1
[3,2,1,2] => 0
[3,2,2,1] => 0
[1,2,2,4] => 3
[1,2,4,2] => 3
[1,4,2,2] => 2
[2,1,2,4] => 2
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Description
The number of primary dinversion pairs of a labelled dyck path corresponding to a parking function.
Code
def statistic(p):
return len(p.primary_dinversion_pairs())
Created
May 14, 2014 at 19:05 by Camille Zerfas
Updated
Feb 17, 2015 at 17:23 by Martin Rubey
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