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Statistic identifier: St000136

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Collection: Parking functions

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Description: The dinv of a parking function.

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References: 

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Code:
def statistic(x):
    return x.dinv()



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Statistic 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]   => 2
[3,1,1]   => 1
[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] => 2
[1,3,1,1] => 1
[3,1,1,1] => 1
[1,1,1,4] => 1
[1,1,4,1] => 1
[1,4,1,1] => 2
[4,1,1,1] => 1
[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] => 3
[1,2,1,4] => 1
[1,2,4,1] => 2
[1,4,1,2] => 4
[1,4,2,1] => 3
[2,1,1,4] => 1
[2,1,4,1] => 2
[2,4,1,1] => 1
[4,1,1,2] => 3
[4,1,2,1] => 2
[4,2,1,1] => 2
[1,1,3,3] => 2
[1,3,1,3] => 3
[1,3,3,1] => 2
[3,1,1,3] => 2
[3,1,3,1] => 1
[3,3,1,1] => 1
[1,1,3,4] => 3
[1,1,4,3] => 2
[1,3,1,4] => 4
[1,3,4,1] => 5
[1,4,1,3] => 3
[1,4,3,1] => 4
[3,1,1,4] => 3
[3,1,4,1] => 4
[3,4,1,1] => 3
[4,1,1,3] => 2
[4,1,3,1] => 3
[4,3,1,1] => 2
[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] => 4
[1,4,2,2] => 3
[2,1,2,4] => 2
[2,1,4,2] => 3
[2,2,1,4] => 2
[2,2,4,1] => 1
[2,4,1,2] => 2
[2,4,2,1] => 2
[4,1,2,2] => 2
[4,2,1,2] => 1
[4,2,2,1] => 1
[1,2,3,3] => 3
[1,3,2,3] => 2
[1,3,3,2] => 2
[2,1,3,3] => 2
[2,3,1,3] => 1
[2,3,3,1] => 1
[3,1,2,3] => 1
[3,1,3,2] => 1
[3,2,1,3] => 0
[3,2,3,1] => 0
[3,3,1,2] => 1
[3,3,2,1] => 0
[1,2,3,4] => 6
[1,2,4,3] => 5
[1,3,2,4] => 5
[1,3,4,2] => 4
[1,4,2,3] => 4
[1,4,3,2] => 3
[2,1,3,4] => 5
[2,1,4,3] => 4
[2,3,1,4] => 4
[2,3,4,1] => 3
[2,4,1,3] => 3
[2,4,3,1] => 2
[3,1,2,4] => 4
[3,1,4,2] => 3
[3,2,1,4] => 3
[3,2,4,1] => 2
[3,4,1,2] => 2
[3,4,2,1] => 1
[4,1,2,3] => 3
[4,1,3,2] => 2
[4,2,1,3] => 2
[4,2,3,1] => 1
[4,3,1,2] => 1
[4,3,2,1] => 0

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Created: Jun 20, 2013 at 12:18 by Chris Berg

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Last Updated: Feb 17, 2015 at 17:38 by Martin Rubey