Identifier
- St000053: Dyck paths ⟶ ℤ (values match St000015The number of peaks of a Dyck path., St001068Number of torsionless simple modules in the corresponding Nakayama algebra., St001169Number of simple modules with projective dimension at least two in the corresponding Nakayama algebra.)
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>1
[1,1,0,0]=>0
[1,0,1,0,1,0]=>2
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>1
[1,1,1,0,0,0]=>0
[1,0,1,0,1,0,1,0]=>3
[1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,1,0,0]=>2
[1,0,1,1,1,0,0,0]=>1
[1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,0]=>2
[1,1,0,1,0,1,0,0]=>2
[1,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,0]=>1
[1,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,0]=>1
[1,1,1,1,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,0,1,0]=>3
[1,0,1,0,1,1,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0]=>3
[1,0,1,1,0,1,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0]=>2
[1,0,1,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,0,0,1,0]=>3
[1,1,0,1,0,1,0,1,0,0]=>3
[1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,1,1,0,0,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,0]=>1
[1,1,1,0,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0]=>1
[1,1,1,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,0,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,0,0,1,0,0]=>3
[1,1,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0]=>2
[1,1,1,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,0]=>1
[1,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>4
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>4
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>4
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>3
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0
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Description
The number of valleys of the Dyck path.
Code
def statistic(r):
return r.number_of_valleys()
Created
Mar 25, 2013 at 17:36 by Jessica Striker
Updated
Feb 17, 2015 at 17:43 by Martin Rubey
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