Identifier
Values
[1] => [1,0] => 1
[1,1] => [1,0,1,0] => 2
[2] => [1,1,0,0] => 1
[1,1,1] => [1,0,1,0,1,0] => 3
[1,2] => [1,0,1,1,0,0] => 2
[2,1] => [1,1,0,0,1,0] => 1
[3] => [1,1,1,0,0,0] => 1
[1,1,1,1] => [1,0,1,0,1,0,1,0] => 4
[1,1,2] => [1,0,1,0,1,1,0,0] => 3
[1,2,1] => [1,0,1,1,0,0,1,0] => 2
[1,3] => [1,0,1,1,1,0,0,0] => 2
[2,1,1] => [1,1,0,0,1,0,1,0] => 2
[2,2] => [1,1,0,0,1,1,0,0] => 1
[3,1] => [1,1,1,0,0,0,1,0] => 1
[4] => [1,1,1,1,0,0,0,0] => 1
[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] => 4
[1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 3
[1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 2
[1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 2
[1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,4] => [1,0,1,1,1,1,0,0,0,0] => 2
[2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 3
[2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 1
[2,3] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 2
[3,2] => [1,1,1,0,0,0,1,1,0,0] => 1
[4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
[5] => [1,1,1,1,1,0,0,0,0,0] => 1
[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] => 5
[1,1,1,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,1,1,3] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,2,1,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,1,2,2] => [1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,1,3,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,1,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,2,1,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,2,1,2] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,1,1,1] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[2,1,1,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,1,2,1] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,1,3] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,2,1,1] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 1
[2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 1
[2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,1,1] => [1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,2] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 1
[3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,1,1] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
[4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 1
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
click to show known generating functions       
Description
Maximum of dominant dimensions of the simple modules in the Nakayama algebra corresponding to the Dyck path.
Map
bounce path
Description
The bounce path determined by an integer composition.