Identifier
Values
[1] => [1,0] => 0
[1,1] => [1,0,1,0] => 0
[2] => [1,1,0,0] => 1
[1,1,1] => [1,0,1,0,1,0] => 0
[1,2] => [1,0,1,1,0,0] => 0
[2,1] => [1,1,0,0,1,0] => 0
[3] => [1,1,1,0,0,0] => 3
[1,1,1,1] => [1,0,1,0,1,0,1,0] => 0
[1,1,2] => [1,0,1,0,1,1,0,0] => 0
[1,2,1] => [1,0,1,1,0,0,1,0] => 1
[1,3] => [1,0,1,1,1,0,0,0] => 0
[2,1,1] => [1,1,0,0,1,0,1,0] => 0
[2,2] => [1,1,0,0,1,1,0,0] => 0
[3,1] => [1,1,1,0,0,0,1,0] => 0
[4] => [1,1,1,1,0,0,0,0] => 6
[1,1,1,1,1] => [1,0,1,0,1,0,1,0,1,0] => 0
[1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 0
[1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 0
[1,1,3] => [1,0,1,0,1,1,1,0,0,0] => 0
[1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 0
[1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 1
[1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 1
[1,4] => [1,0,1,1,1,1,0,0,0,0] => 0
[2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 0
[2,1,2] => [1,1,0,0,1,0,1,1,0,0] => 0
[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] => 0
[3,1,1] => [1,1,1,0,0,0,1,0,1,0] => 0
[3,2] => [1,1,1,0,0,0,1,1,0,0] => 0
[4,1] => [1,1,1,1,0,0,0,0,1,0] => 0
[5] => [1,1,1,1,1,0,0,0,0,0] => 10
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Description
The number of indecomposable modules with projective and injective dimension equal to the global dimension of the Nakayama algebra corresponding to the Dyck path.
Map
bounce path
Description
The bounce path determined by an integer composition.