Identifier
Identifier
St000015 : Dyck paths ⟶ ℤ (values match St000053)
Values
[1,0]
generating graphics...
=> 1
[1,0,1,0]
generating graphics...
=> 2
[1,1,0,0]
generating graphics...
=> 1
[1,0,1,0,1,0]
generating graphics...
=> 3
[1,0,1,1,0,0]
generating graphics...
=> 2
[1,1,0,0,1,0]
generating graphics...
=> 2
[1,1,0,1,0,0]
generating graphics...
=> 2
[1,1,1,0,0,0]
generating graphics...
=> 1
[1,0,1,0,1,0,1,0]
generating graphics...
=> 4
[1,0,1,0,1,1,0,0]
generating graphics...
=> 3
[1,0,1,1,0,0,1,0]
generating graphics...
=> 3
[1,0,1,1,0,1,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,0,0]
generating graphics...
=> 2
[1,1,0,0,1,0,1,0]
generating graphics...
=> 3
[1,1,0,0,1,1,0,0]
generating graphics...
=> 2
[1,1,0,1,0,0,1,0]
generating graphics...
=> 3
[1,1,0,1,0,1,0,0]
generating graphics...
=> 3
[1,1,0,1,1,0,0,0]
generating graphics...
=> 2
[1,1,1,0,0,0,1,0]
generating graphics...
=> 2
[1,1,1,0,0,1,0,0]
generating graphics...
=> 2
[1,1,1,0,1,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,0,0,0]
generating graphics...
=> 1
[1,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 5
[1,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 4
[1,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 4
[1,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 4
[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...
=> 4
[1,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 3
[1,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 4
[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...
=> 3
[1,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 3
[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...
=> 2
[1,1,0,0,1,0,1,0,1,0]
generating graphics...
=> 4
[1,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 3
[1,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 3
[1,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 3
[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...
=> 4
[1,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 4
[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...
=> 3
[1,1,0,1,1,0,0,0,1,0]
generating graphics...
=> 3
[1,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 3
[1,1,0,1,1,0,1,0,0,0]
generating graphics...
=> 3
[1,1,0,1,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,0,0,0,1,0,1,0]
generating graphics...
=> 3
[1,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 2
[1,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 3
[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...
=> 3
[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...
=> 3
[1,1,1,0,1,1,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,0,0,0,1,0]
generating graphics...
=> 2
[1,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 2
[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...
=> 2
[1,1,1,1,1,0,0,0,0,0]
generating graphics...
=> 1
[1,0,1,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 6
[1,0,1,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 5
[1,0,1,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 5
[1,0,1,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 5
[1,0,1,0,1,0,1,1,1,0,0,0]
generating graphics...
=> 4
[1,0,1,0,1,1,0,0,1,0,1,0]
generating graphics...
=> 5
[1,0,1,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 4
[1,0,1,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 5
[1,0,1,0,1,1,0,1,0,1,0,0]
generating graphics...
=> 5
[1,0,1,0,1,1,0,1,1,0,0,0]
generating graphics...
=> 4
[1,0,1,0,1,1,1,0,0,0,1,0]
generating graphics...
=> 4
[1,0,1,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 4
[1,0,1,0,1,1,1,0,1,0,0,0]
generating graphics...
=> 4
[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...
=> 5
[1,0,1,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 4
[1,0,1,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 4
[1,0,1,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 4
[1,0,1,1,0,0,1,1,1,0,0,0]
generating graphics...
=> 3
[1,0,1,1,0,1,0,0,1,0,1,0]
generating graphics...
=> 5
[1,0,1,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 4
[1,0,1,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 5
[1,0,1,1,0,1,0,1,0,1,0,0]
generating graphics...
=> 5
[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...
=> 4
[1,0,1,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 4
[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...
=> 4
[1,0,1,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 4
[1,0,1,1,1,0,0,1,0,1,0,0]
generating graphics...
=> 4
[1,0,1,1,1,0,0,1,1,0,0,0]
generating graphics...
=> 3
[1,0,1,1,1,0,1,0,0,0,1,0]
generating graphics...
=> 4
[1,0,1,1,1,0,1,0,0,1,0,0]
generating graphics...
=> 4
[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...
=> 3
[1,0,1,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 3
[1,0,1,1,1,1,0,0,1,0,0,0]
generating graphics...
=> 3
[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...
=> 2
[1,1,0,0,1,0,1,0,1,0,1,0]
generating graphics...
=> 5
[1,1,0,0,1,0,1,0,1,1,0,0]
generating graphics...
=> 4
[1,1,0,0,1,0,1,1,0,0,1,0]
generating graphics...
=> 4
[1,1,0,0,1,0,1,1,0,1,0,0]
generating graphics...
=> 4
[1,1,0,0,1,0,1,1,1,0,0,0]
generating graphics...
=> 3
[1,1,0,0,1,1,0,0,1,0,1,0]
generating graphics...
=> 4
[1,1,0,0,1,1,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,0,0,1,1,0,1,0,0,1,0]
generating graphics...
=> 4
[1,1,0,0,1,1,0,1,0,1,0,0]
generating graphics...
=> 4
[1,1,0,0,1,1,0,1,1,0,0,0]
generating graphics...
=> 3
[1,1,0,0,1,1,1,0,0,0,1,0]
generating graphics...
=> 3
[1,1,0,0,1,1,1,0,0,1,0,0]
generating graphics...
=> 3
[1,1,0,0,1,1,1,0,1,0,0,0]
generating graphics...
=> 3
[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...
=> 5
[1,1,0,1,0,0,1,0,1,1,0,0]
generating graphics...
=> 4
[1,1,0,1,0,0,1,1,0,0,1,0]
generating graphics...
=> 4
[1,1,0,1,0,0,1,1,0,1,0,0]
generating graphics...
=> 4
[1,1,0,1,0,0,1,1,1,0,0,0]
generating graphics...
=> 3
[1,1,0,1,0,1,0,0,1,0,1,0]
generating graphics...
=> 5
[1,1,0,1,0,1,0,0,1,1,0,0]
generating graphics...
=> 4
[1,1,0,1,0,1,0,1,0,0,1,0]
generating graphics...
=> 5
[1,1,0,1,0,1,0,1,0,1,0,0]
generating graphics...
=> 5
[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...
=> 4
[1,1,0,1,0,1,1,0,0,1,0,0]
generating graphics...
=> 4
[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...
=> 3
[1,1,0,1,1,0,0,0,1,0,1,0]
generating graphics...
=> 4
[1,1,0,1,1,0,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,0,1,1,0,0,1,0,0,1,0]
generating graphics...
=> 4
[1,1,0,1,1,0,0,1,0,1,0,0]
generating graphics...
=> 4
[1,1,0,1,1,0,0,1,1,0,0,0]
generating graphics...
=> 3
[1,1,0,1,1,0,1,0,0,0,1,0]
generating graphics...
=> 4
[1,1,0,1,1,0,1,0,0,1,0,0]
generating graphics...
=> 4
[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...
=> 3
[1,1,0,1,1,1,0,0,0,0,1,0]
generating graphics...
=> 3
[1,1,0,1,1,1,0,0,0,1,0,0]
generating graphics...
=> 3
[1,1,0,1,1,1,0,0,1,0,0,0]
generating graphics...
=> 3
[1,1,0,1,1,1,0,1,0,0,0,0]
generating graphics...
=> 3
[1,1,0,1,1,1,1,0,0,0,0,0]
generating graphics...
=> 2
[1,1,1,0,0,0,1,0,1,0,1,0]
generating graphics...
=> 4
[1,1,1,0,0,0,1,0,1,1,0,0]
generating graphics...
=> 3
[1,1,1,0,0,0,1,1,0,0,1,0]
generating graphics...
=> 3
[1,1,1,0,0,0,1,1,0,1,0,0]
generating graphics...
=> 3
[1,1,1,0,0,0,1,1,1,0,0,0]
generating graphics...
=> 2
[1,1,1,0,0,1,0,0,1,0,1,0]
generating graphics...
=> 4
[1,1,1,0,0,1,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,1,0,0,1,0,1,0,0,1,0]
generating graphics...
=> 4
[1,1,1,0,0,1,0,1,0,1,0,0]
generating graphics...
=> 4
[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...
=> 3
[1,1,1,0,0,1,1,0,0,1,0,0]
generating graphics...
=> 3
[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...
=> 4
[1,1,1,0,1,0,0,0,1,1,0,0]
generating graphics...
=> 3
[1,1,1,0,1,0,0,1,0,0,1,0]
generating graphics...
=> 4
[1,1,1,0,1,0,0,1,0,1,0,0]
generating graphics...
=> 4
[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...
=> 4
[1,1,1,0,1,0,1,0,0,1,0,0]
generating graphics...
=> 4
[1,1,1,0,1,0,1,0,1,0,0,0]
generating graphics...
=> 4
[1,1,1,0,1,0,1,1,0,0,0,0]
generating graphics...
=> 3
[1,1,1,0,1,1,0,0,0,0,1,0]
generating graphics...
=> 3
[1,1,1,0,1,1,0,0,0,1,0,0]
generating graphics...
=> 3
[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...
=> 3
[1,1,1,0,1,1,1,0,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,0,0,0,1,0,1,0]
generating graphics...
=> 3
[1,1,1,1,0,0,0,0,1,1,0,0]
generating graphics...
=> 2
[1,1,1,1,0,0,0,1,0,0,1,0]
generating graphics...
=> 3
[1,1,1,1,0,0,0,1,0,1,0,0]
generating graphics...
=> 3
[1,1,1,1,0,0,0,1,1,0,0,0]
generating graphics...
=> 2
[1,1,1,1,0,0,1,0,0,0,1,0]
generating graphics...
=> 3
[1,1,1,1,0,0,1,0,0,1,0,0]
generating graphics...
=> 3
[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...
=> 3
[1,1,1,1,0,1,0,0,0,1,0,0]
generating graphics...
=> 3
[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...
=> 3
[1,1,1,1,0,1,1,0,0,0,0,0]
generating graphics...
=> 2
[1,1,1,1,1,0,0,0,0,0,1,0]
generating graphics...
=> 2
[1,1,1,1,1,0,0,0,0,1,0,0]
generating graphics...
=> 2
[1,1,1,1,1,0,0,0,1,0,0,0]
generating graphics...
=> 2
[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...
=> 2
[1,1,1,1,1,1,0,0,0,0,0,0]
generating graphics...
=> 1
Description
The number of peaks of a Dyck path.
Code
def statistic(x):
    return x.number_of_peaks()
Created
Sep 27, 2011 at 19:32 by Chris Berg
Updated
Sep 13, 2014 at 20:34 by Martin Rubey