Identifier
- St001166: Dyck paths ⟶ ℤ
Values
=>
Cc0005;cc-rep
[1,0]=>2
[1,0,1,0]=>3
[1,1,0,0]=>3
[1,0,1,0,1,0]=>4
[1,0,1,1,0,0]=>3
[1,1,0,0,1,0]=>3
[1,1,0,1,0,0]=>3
[1,1,1,0,0,0]=>4
[1,0,1,0,1,0,1,0]=>5
[1,0,1,0,1,1,0,0]=>4
[1,0,1,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,0]=>3
[1,1,0,0,1,0,1,0]=>4
[1,1,0,0,1,1,0,0]=>3
[1,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,0]=>3
[1,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,0,1,0]=>3
[1,1,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,0,0]=>3
[1,1,1,1,0,0,0,0]=>5
[1,0,1,0,1,0,1,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,0]=>5
[1,0,1,0,1,1,0,0,1,0]=>5
[1,0,1,0,1,1,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,0]=>4
[1,0,1,1,0,0,1,0,1,0]=>5
[1,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,0]=>4
[1,0,1,1,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,0]=>4
[1,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,0,1,0]=>4
[1,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,1,0,0,0]=>3
[1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,0]=>3
[1,1,0,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,0,1,0,1,0]=>4
[1,1,1,0,0,0,1,1,0,0]=>3
[1,1,1,0,0,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,0]=>3
[1,1,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,0]=>3
[1,1,1,0,1,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,0,0,0,1,0]=>3
[1,1,1,1,0,0,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,0,0]=>3
[1,1,1,1,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,0,0,0,0]=>6
[1,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,0]=>6
[1,0,1,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,0,1,1,0,1,1,0,0,0]=>5
[1,0,1,0,1,1,1,0,0,0,1,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,1,0,0,0,0]=>4
[1,0,1,1,0,0,1,0,1,0,1,0]=>6
[1,0,1,1,0,0,1,0,1,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,0]=>7
[1,0,1,1,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,0,0,1,0,0,0]=>5
[1,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,0,0,1,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,1,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,1,1,0,0,0,1,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,1,1,0,0,0,0]=>3
[1,1,0,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,1,1,0,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,1,0,1,1,0,1,1,0,0,0,0]=>3
[1,1,0,1,1,1,0,0,0,0,1,0]=>5
[1,1,0,1,1,1,0,0,0,1,0,0]=>5
[1,1,0,1,1,1,0,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,0,0,0]=>3
[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]=>5
[1,1,1,0,0,0,1,0,1,1,0,0]=>4
[1,1,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,1,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,0,1,1,0,0,0]=>3
[1,1,1,0,0,1,1,0,0,0,1,0]=>5
[1,1,1,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,1,0,0,0]=>3
[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]=>5
[1,1,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,0,1,0,0]=>6
[1,1,1,0,1,0,0,1,1,0,0,0]=>3
[1,1,1,0,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,1,0,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,0]=>5
[1,1,1,0,1,1,0,0,0,1,0,0]=>4
[1,1,1,0,1,1,0,0,1,0,0,0]=>3
[1,1,1,0,1,1,0,1,0,0,0,0]=>3
[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]=>4
[1,1,1,1,0,0,0,0,1,1,0,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,0]=>3
[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]=>4
[1,1,1,1,0,0,1,0,0,1,0,0]=>3
[1,1,1,1,0,0,1,0,1,0,0,0]=>3
[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]=>4
[1,1,1,1,0,1,0,0,0,1,0,0]=>3
[1,1,1,1,0,1,0,0,1,0,0,0]=>3
[1,1,1,1,0,1,0,1,0,0,0,0]=>3
[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]=>3
[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]=>7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>7
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>6
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>7
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>7
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>6
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>5
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>6
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>5
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>5
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>5
[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]=>7
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>6
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>7
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>6
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>6
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>6
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>8
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>6
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>6
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>7
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>5
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>6
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>6
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>6
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>5
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>5
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>5
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>5
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>4
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>6
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>6
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>6
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>7
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>6
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5
[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]=>6
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>6
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>5
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>5
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>6
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>6
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>6
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>5
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>6
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>5
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>5
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>6
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>7
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>6
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>6
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>6
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>6
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>6
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>6
[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]=>6
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>5
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>6
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>6
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>6
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>6
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>6
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>6
[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]=>5
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>5
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>5
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>5
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>5
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>4
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>6
[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]=>5
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>5
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4
[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]=>3
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>5
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>5
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5
[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]=>5
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>4
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>5
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>6
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>5
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>6
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>6
[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]=>5
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>4
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>6
[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]=>5
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>5
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4
[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]=>3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>6
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>5
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>4
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>6
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>6
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6
[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]=>5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>4
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>6
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>6
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>8
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>4
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>6
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>5
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>5
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>5
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>6
[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]=>4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>6
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>5
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>5
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>4
[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]=>3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>3
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5
[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]=>5
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>5
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>6
[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]=>5
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4
[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]=>3
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>5
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>6
[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]=>4
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>6
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>5
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4
[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]=>3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>5
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>6
[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]=>4
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>6
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>6
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>5
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>4
[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]=>3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3
[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]=>3
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4
[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]=>3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>4
[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]=>3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>3
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4
[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]=>3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>4
[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]=>3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>3
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>3
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>8
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Description
Number of indecomposable projective non-injective modules with dominant dimension equal to the global dimension plus the number of indecomposable projective injective modules in the corresponding Nakayama algebra.
References
[1] Marczinzik, René Upper bounds for the dominant dimension of Nakayama and related algebras. zbMATH:06820683
Code
DeclareOperation("numberprojnoninjdomdimequalgldimplusprojinj",[IsList]); InstallMethod(numberprojnoninjdomdimequalgldimplusprojinj, "for a representation of a quiver", [IsList],0,function(LIST) local A,g,projA,UU,priA; A:=LIST[1]; g:=GlobalDimensionOfAlgebra(A,100); projA:=IndecProjectiveModules(A);priA:=Filtered(projA,x->IsInjectiveModule(x)=true); UU:=Filtered(projA,x->DominantDimensionOfModule(x,100)=g); return(Size(UU)+Size(priA)); end);
Created
Apr 29, 2018 at 13:31 by Rene Marczinzik
Updated
Apr 29, 2018 at 13:31 by Rene Marczinzik
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