Identifier
Values
[1] => [1,0] => 1
[1,1] => [1,0,1,0] => 2
[2] => [1,1,0,0] => 2
[1,1,1] => [1,0,1,0,1,0] => 3
[1,2] => [1,0,1,1,0,0] => 3
[2,1] => [1,1,0,0,1,0] => 3
[3] => [1,1,1,0,0,0] => 3
[1,1,1,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,2] => [1,0,1,0,1,1,0,0] => 4
[1,2,1] => [1,0,1,1,0,0,1,0] => 4
[1,3] => [1,0,1,1,1,0,0,0] => 4
[2,1,1] => [1,1,0,0,1,0,1,0] => 4
[2,2] => [1,1,0,0,1,1,0,0] => 4
[3,1] => [1,1,1,0,0,0,1,0] => 4
[4] => [1,1,1,1,0,0,0,0] => 4
[1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 5
[1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 5
[1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 5
[1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 5
[1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 5
[1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[1,4] => [1,0,1,1,1,1,0,0,0,0] => 5
[2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 5
[2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 5
[2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 5
[2,3] => [1,1,0,0,1,1,1,0,0,0] => 5
[3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 5
[3,2] => [1,1,1,0,0,0,1,1,0,0] => 5
[4,1] => [1,1,1,1,0,0,0,0,1,0] => 5
[5] => [1,1,1,1,1,0,0,0,0,0] => 5
[1,1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,2] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 6
[1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 6
[1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 6
[2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 6
[2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 6
[2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 6
[2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 6
[2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 6
[3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 6
[3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 6
[3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 6
[3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 6
[4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 6
[4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 6
[5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
Sum of projective dimension of the indecomposable injective modules of the Nakayama algebra corresponding to the Dyck path.
Map
bounce path
Description
The bounce path determined by an integer composition.