Identifier
- St001189: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>0
[1,0,1,0]=>0
[1,1,0,0]=>1
[1,0,1,0,1,0]=>0
[1,0,1,1,0,0]=>1
[1,1,0,0,1,0]=>1
[1,1,0,1,0,0]=>0
[1,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0]=>0
[1,0,1,1,1,0,0,0]=>2
[1,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,0]=>1
[1,1,1,0,0,0,1,0]=>2
[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]=>3
[1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,0]=>1
[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]=>1
[1,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,0,0,0]=>2
[1,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,0,0,0]=>2
[1,1,1,1,0,0,0,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,0]=>2
[1,1,1,1,0,1,0,0,0,0]=>2
[1,1,1,1,1,0,0,0,0,0]=>4
[1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,1,1,0,0,0,0]=>3
[1,0,1,1,0,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,1,0,0,0]=>3
[1,0,1,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,1,0,0,0]=>1
[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]=>2
[1,0,1,1,1,0,0,0,1,1,0,0]=>3
[1,0,1,1,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,0]=>1
[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]=>1
[1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,1,0,0,0]=>0
[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]=>3
[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]=>4
[1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,1,0,0,1,0,1,0]=>2
[1,1,0,0,1,1,0,0,1,1,0,0]=>3
[1,1,0,0,1,1,0,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,1,0,0]=>1
[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]=>3
[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]=>4
[1,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,1,0,0]=>0
[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]=>0
[1,1,0,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,1,0,0,0]=>1
[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]=>1
[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]=>0
[1,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,1,0,0,0]=>0
[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]=>1
[1,1,0,1,1,1,0,0,1,0,0,0]=>1
[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]=>3
[1,1,1,0,0,0,1,0,1,0,1,0]=>2
[1,1,1,0,0,0,1,0,1,1,0,0]=>3
[1,1,1,0,0,0,1,1,0,0,1,0]=>3
[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]=>4
[1,1,1,0,0,1,0,0,1,0,1,0]=>1
[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]=>1
[1,1,1,0,0,1,0,1,0,1,0,0]=>1
[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]=>1
[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]=>3
[1,1,1,0,1,0,0,0,1,0,1,0]=>1
[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]=>1
[1,1,1,0,1,0,0,1,0,1,0,0]=>1
[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]=>0
[1,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,0,0]=>1
[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]=>1
[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]=>1
[1,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,0,0,0,1,0,1,0]=>3
[1,1,1,1,0,0,0,0,1,1,0,0]=>4
[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]=>3
[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]=>1
[1,1,1,1,0,0,1,1,0,0,0,0]=>3
[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]=>1
[1,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,1,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,1,1,1,0,0,0,0,0,1,0]=>4
[1,1,1,1,1,0,0,0,0,1,0,0]=>3
[1,1,1,1,1,0,0,0,1,0,0,0]=>3
[1,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,0,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1
[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]=>1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1
[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]=>0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2
[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]=>1
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2
[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]=>2
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1
[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]=>2
[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]=>1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2
[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]=>2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2
[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]=>2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3
[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]=>4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>3
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1
[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]=>2
[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]=>1
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2
[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]=>2
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2
[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]=>2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3
[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]=>4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>2
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1
[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]=>1
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1
[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]=>1
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0
[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]=>2
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3
[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]=>3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>4
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2
[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]=>2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>4
[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]=>4
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1
[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]=>2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3
[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]=>3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1
[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]=>2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1
[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]=>2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1
[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]=>3
[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]=>3
[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]=>4
[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]=>4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3
[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]=>3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1
[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]=>3
[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]=>3
[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]=>4
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>2
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1
[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]=>1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0
[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]=>3
[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]=>3
[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]=>4
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>4
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3
[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]=>4
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3
[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]=>4
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3
[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]=>4
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>5
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>4
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>4
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>4
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>6
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Description
The number of simple modules with dominant and codominant dimension equal to zero in the Nakayama algebra corresponding to the Dyck path.
Code
DeclareOperation("numberdomdimorcodomdimsimples1",[IsList]); InstallMethod(numberdomdimorcodomdimsimples1, "for a representation of a quiver", [IsList],0,function(LIST) local A,simA,TT,i; A:=LIST[1]; simA:=SimpleModules(A); TT:=Filtered(simA,x->DominantDimensionOfModule(x,30)=0 and DominantDimensionOfModule(DualOfModule(x),30)=0); return(Size(TT)); end);
Created
May 10, 2018 at 11:24 by Rene Marczinzik
Updated
May 10, 2018 at 11:24 by Rene Marczinzik
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