Identifier
Identifier
St000005 : Dyck paths ⟶ ℤ
Values
[1,0]
generating graphics...
=> 0
[1,0,1,0]
generating graphics...
=> 1
[1,1,0,0]
generating graphics...
=> 0
[1,0,1,0,1,0]
generating graphics...
=> 3
[1,0,1,1,0,0]
generating graphics...
=> 1
[1,1,0,0,1,0]
generating graphics...
=> 2
[1,1,0,1,0,0]
generating graphics...
=> 1
[1,1,1,0,0,0]
generating graphics...
=> 0
[1,0,1,0,1,0,1,0]
generating graphics...
=> 6
[1,0,1,0,1,1,0,0]
generating graphics...
=> 3
[1,0,1,1,0,0,1,0]
generating graphics...
=> 4
[1,0,1,1,0,1,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,0,0]
generating graphics...
=> 1
[1,1,0,0,1,0,1,0]
generating graphics...
=> 5
[1,1,0,0,1,1,0,0]
generating graphics...
=> 2
[1,1,0,1,0,0,1,0]
generating graphics...
=> 4
[1,1,0,1,0,1,0,0]
generating graphics...
=> 2
[1,1,0,1,1,0,0,0]
generating graphics...
=> 1
[1,1,1,0,0,0,1,0]
generating graphics...
=> 3
[1,1,1,0,0,1,0,0]
generating graphics...
=> 2
[1,1,1,0,1,0,0,0]
generating graphics...
=> 1
[1,1,1,1,0,0,0,0]
generating graphics...
=> 0
[1,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 10
[1,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 6
[1,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 7
[1,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 6
[1,0,1,0,1,1,1,0,0,0]
generating graphics...
=> 3
[1,0,1,1,0,0,1,0,1,0]
generating graphics...
=> 8
[1,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 7
[1,0,1,1,0,1,0,1,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,1,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,0,0,1,0]
generating graphics...
=> 5
[1,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 4
[1,0,1,1,1,0,1,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,1,0,0,0,0]
generating graphics...
=> 1
[1,1,0,0,1,0,1,0,1,0]
generating graphics...
=> 9
[1,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 5
[1,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 6
[1,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 5
[1,1,0,0,1,1,1,0,0,0]
generating graphics...
=> 2
[1,1,0,1,0,0,1,0,1,0]
generating graphics...
=> 8
[1,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 6
[1,1,0,1,0,1,0,1,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,1,0,0,0]
generating graphics...
=> 2
[1,1,0,1,1,0,0,0,1,0]
generating graphics...
=> 5
[1,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 4
[1,1,0,1,1,0,1,0,0,0]
generating graphics...
=> 2
[1,1,0,1,1,1,0,0,0,0]
generating graphics...
=> 1
[1,1,1,0,0,0,1,0,1,0]
generating graphics...
=> 7
[1,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 6
[1,1,1,0,0,1,0,1,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,1,0,0,0]
generating graphics...
=> 2
[1,1,1,0,1,0,0,0,1,0]
generating graphics...
=> 5
[1,1,1,0,1,0,0,1,0,0]
generating graphics...
=> 3
[1,1,1,0,1,0,1,0,0,0]
generating graphics...
=> 2
[1,1,1,0,1,1,0,0,0,0]
generating graphics...
=> 1
[1,1,1,1,0,0,0,0,1,0]
generating graphics...
=> 4
[1,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 3
[1,1,1,1,0,0,1,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,1,0,0,0,0]
generating graphics...
=> 1
[1,1,1,1,1,0,0,0,0,0]
generating graphics...
=> 0
[1,0,1,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 15
[1,0,1,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 10
[1,0,1,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 11
[1,0,1,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 10
[1,0,1,0,1,0,1,1,1,0,0,0]
generating graphics...
=> 6
[1,0,1,0,1,1,0,0,1,0,1,0]
generating graphics...
=> 12
[1,0,1,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 7
[1,0,1,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 11
[1,0,1,0,1,1,0,1,0,1,0,0]
generating graphics...
=> 7
[1,0,1,0,1,1,0,1,1,0,0,0]
generating graphics...
=> 6
[1,0,1,0,1,1,1,0,0,0,1,0]
generating graphics...
=> 8
[1,0,1,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 7
[1,0,1,0,1,1,1,0,1,0,0,0]
generating graphics...
=> 6
[1,0,1,0,1,1,1,1,0,0,0,0]
generating graphics...
=> 3
[1,0,1,1,0,0,1,0,1,0,1,0]
generating graphics...
=> 13
[1,0,1,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 8
[1,0,1,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 9
[1,0,1,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 8
[1,0,1,1,0,0,1,1,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,0,0,1,0,1,0]
generating graphics...
=> 12
[1,0,1,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 7
[1,0,1,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 9
[1,0,1,1,0,1,0,1,0,1,0,0]
generating graphics...
=> 7
[1,0,1,1,0,1,0,1,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,1,0,0,0,1,0]
generating graphics...
=> 8
[1,0,1,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 7
[1,0,1,1,0,1,1,0,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,1,1,0,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,0,0,1,0,1,0]
generating graphics...
=> 10
[1,0,1,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 5
[1,0,1,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 9
[1,0,1,1,1,0,0,1,0,1,0,0]
generating graphics...
=> 5
[1,0,1,1,1,0,0,1,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,1,0,1,0,0,0,1,0]
generating graphics...
=> 8
[1,0,1,1,1,0,1,0,0,1,0,0]
generating graphics...
=> 5
[1,0,1,1,1,0,1,0,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,1,0,1,1,0,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,1,0,0,0,0,1,0]
generating graphics...
=> 6
[1,0,1,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 5
[1,0,1,1,1,1,0,0,1,0,0,0]
generating graphics...
=> 4
[1,0,1,1,1,1,0,1,0,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,1,1,0,0,0,0,0]
generating graphics...
=> 1
[1,1,0,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 14
[1,1,0,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 9
[1,1,0,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 10
[1,1,0,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 9
[1,1,0,0,1,0,1,1,1,0,0,0]
generating graphics...
=> 5
[1,1,0,0,1,1,0,0,1,0,1,0]
generating graphics...
=> 11
[1,1,0,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 6
[1,1,0,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 10
[1,1,0,0,1,1,0,1,0,1,0,0]
generating graphics...
=> 6
[1,1,0,0,1,1,0,1,1,0,0,0]
generating graphics...
=> 5
[1,1,0,0,1,1,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,0,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 6
[1,1,0,0,1,1,1,0,1,0,0,0]
generating graphics...
=> 5
[1,1,0,0,1,1,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,0,1,0,0,1,0,1,0,1,0]
generating graphics...
=> 13
[1,1,0,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 8
[1,1,0,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 9
[1,1,0,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 8
[1,1,0,1,0,0,1,1,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,0,0,1,0,1,0]
generating graphics...
=> 11
[1,1,0,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 6
[1,1,0,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 9
[1,1,0,1,0,1,0,1,0,1,0,0]
generating graphics...
=> 6
[1,1,0,1,0,1,0,1,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,0,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 6
[1,1,0,1,0,1,1,0,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,0,1,1,0,0,0,1,0,1,0]
generating graphics...
=> 10
[1,1,0,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 5
[1,1,0,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 9
[1,1,0,1,1,0,0,1,0,1,0,0]
generating graphics...
=> 5
[1,1,0,1,1,0,0,1,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,1,0,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,0,1,1,0,1,0,0,1,0,0]
generating graphics...
=> 5
[1,1,0,1,1,0,1,0,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,1,0,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,0,1,1,1,0,0,0,0,1,0]
generating graphics...
=> 6
[1,1,0,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 5
[1,1,0,1,1,1,0,0,1,0,0,0]
generating graphics...
=> 4
[1,1,0,1,1,1,0,1,0,0,0,0]
generating graphics...
=> 2
[1,1,0,1,1,1,1,0,0,0,0,0]
generating graphics...
=> 1
[1,1,1,0,0,0,1,0,1,0,1,0]
generating graphics...
=> 12
[1,1,1,0,0,0,1,0,1,1,0,0]
generating graphics...
=> 7
[1,1,1,0,0,0,1,1,0,0,1,0]
generating graphics...
=> 8
[1,1,1,0,0,0,1,1,0,1,0,0]
generating graphics...
=> 7
[1,1,1,0,0,0,1,1,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,0,0,1,0,1,0]
generating graphics...
=> 11
[1,1,1,0,0,1,0,0,1,1,0,0]
generating graphics...
=> 6
[1,1,1,0,0,1,0,1,0,0,1,0]
generating graphics...
=> 8
[1,1,1,0,0,1,0,1,0,1,0,0]
generating graphics...
=> 6
[1,1,1,0,0,1,0,1,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,1,0,0,1,1,0,0,1,0,0]
generating graphics...
=> 6
[1,1,1,0,0,1,1,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,0,1,0,0,0,1,0,1,0]
generating graphics...
=> 10
[1,1,1,0,1,0,0,0,1,1,0,0]
generating graphics...
=> 5
[1,1,1,0,1,0,0,1,0,0,1,0]
generating graphics...
=> 8
[1,1,1,0,1,0,0,1,0,1,0,0]
generating graphics...
=> 5
[1,1,1,0,1,0,0,1,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,1,0,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,1,0,1,0,1,0,0,1,0,0]
generating graphics...
=> 5
[1,1,1,0,1,0,1,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,1,0,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,0,1,1,0,0,0,0,1,0]
generating graphics...
=> 6
[1,1,1,0,1,1,0,0,0,1,0,0]
generating graphics...
=> 5
[1,1,1,0,1,1,0,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,0,1,1,0,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,0,1,1,1,0,0,0,0,0]
generating graphics...
=> 1
[1,1,1,1,0,0,0,0,1,0,1,0]
generating graphics...
=> 9
[1,1,1,1,0,0,0,0,1,1,0,0]
generating graphics...
=> 4
[1,1,1,1,0,0,0,1,0,0,1,0]
generating graphics...
=> 8
[1,1,1,1,0,0,0,1,0,1,0,0]
generating graphics...
=> 4
[1,1,1,1,0,0,0,1,1,0,0,0]
generating graphics...
=> 3
[1,1,1,1,0,0,1,0,0,0,1,0]
generating graphics...
=> 7
[1,1,1,1,0,0,1,0,0,1,0,0]
generating graphics...
=> 4
[1,1,1,1,0,0,1,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,1,0,0,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,1,0,0,0,0,1,0]
generating graphics...
=> 6
[1,1,1,1,0,1,0,0,0,1,0,0]
generating graphics...
=> 4
[1,1,1,1,0,1,0,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,1,0,1,0,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,1,1,0,0,0,0,0]
generating graphics...
=> 1
[1,1,1,1,1,0,0,0,0,0,1,0]
generating graphics...
=> 5
[1,1,1,1,1,0,0,0,0,1,0,0]
generating graphics...
=> 4
[1,1,1,1,1,0,0,0,1,0,0,0]
generating graphics...
=> 3
[1,1,1,1,1,0,0,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,1,0,1,0,0,0,0,0]
generating graphics...
=> 1
[1,1,1,1,1,1,0,0,0,0,0,0]
generating graphics...
=> 0
Description
The bounce statistic of a Dyck path.
Code
def statistic(x):
    return x.bounce()
Created
Sep 15, 2011 at 15:56 by Chris Berg
Updated
Sep 13, 2014 at 19:29 by Martin Rubey