Identifier
Values
[1] => [1,0,1,0] => 3
[2] => [1,1,0,0,1,0] => 3
[1,1] => [1,0,1,1,0,0] => 3
[3] => [1,1,1,0,0,0,1,0] => 3
[2,1] => [1,0,1,0,1,0] => 4
[1,1,1] => [1,0,1,1,1,0,0,0] => 3
[4] => [1,1,1,1,0,0,0,0,1,0] => 3
[3,1] => [1,1,0,1,0,0,1,0] => 5
[2,2] => [1,1,0,0,1,1,0,0] => 3
[2,1,1] => [1,0,1,1,0,1,0,0] => 5
[1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 3
[5] => [1,1,1,1,1,0,0,0,0,0,1,0] => 3
[4,1] => [1,1,1,0,1,0,0,0,1,0] => 6
[3,2] => [1,1,0,0,1,0,1,0] => 4
[3,1,1] => [1,0,1,1,0,0,1,0] => 5
[2,2,1] => [1,0,1,0,1,1,0,0] => 4
[2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 6
[1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 3
[5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => 7
[4,2] => [1,1,1,0,0,1,0,0,1,0] => 5
[4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 6
[3,3] => [1,1,1,0,0,0,1,1,0,0] => 3
[3,2,1] => [1,0,1,0,1,0,1,0] => 5
[3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 6
[2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 5
[2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => 7
[5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => 6
[5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => 7
[4,3] => [1,1,1,0,0,0,1,0,1,0] => 4
[4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 6
[4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 5
[3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 5
[3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 5
[3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 6
[3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 4
[2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => 6
[5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => 7
[5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => 6
[4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 6
[4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 5
[4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 6
[4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 4
[3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 5
[3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 6
[3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => 7
[2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => 5
[5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => 4
[5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => 7
[5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => 6
[5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => 7
[5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
[4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => 6
[4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 5
[4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 6
[4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 6
[4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => 7
[3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 5
[3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => 6
[3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => 6
[3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => 7
[2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => 4
[5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => 7
[5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => 6
[5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => 7
[5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => 7
[5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => 7
[4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => 6
[4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => 5
[4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 6
[4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => 7
[4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => 6
[4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => 7
[3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => 5
[3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => 5
[3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => 6
[3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => 7
[5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => 6
[5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => 7
[5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => 5
[5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => 7
[5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => 7
[5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0] => 5
[5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => 7
[4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => 6
[4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
[4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => 7
[4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => 6
[4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => 7
[4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => 7
[3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => 4
[3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => 5
[3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => 6
>>> Load all 131 entries. <<<
[5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => 5
[5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => 7
[5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => 6
[5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => 7
[5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => 6
[5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => 7
[5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => 6
[4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => 6
[4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 5
[4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => 6
[4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => 6
[4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => 7
[4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => 7
[3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => 5
[5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => 7
[5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => 6
[5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => 7
[5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => 6
[5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 7
[5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => 7
[4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => 5
[4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => 6
[4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => 6
[4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => 7
[5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => 6
[5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => 7
[5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => 7
[5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => 7
[4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => 6
[5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => 7
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Description
The vector space dimension of the double dual of A/J when A is the corresponding Nakayama algebra with Jacobson radical J.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.