Identifier
Values
[1,0] => [1] => 1
[1,0,1,0] => [2,1] => 1
[1,1,0,0] => [1,2] => 1
[1,0,1,0,1,0] => [2,3,1] => 1
[1,0,1,1,0,0] => [2,1,3] => 1
[1,1,0,0,1,0] => [1,3,2] => 1
[1,1,0,1,0,0] => [3,1,2] => 1
[1,1,1,0,0,0] => [1,2,3] => 1
[1,0,1,0,1,0,1,0] => [2,3,4,1] => 1
[1,0,1,0,1,1,0,0] => [2,3,1,4] => 1
[1,0,1,1,0,0,1,0] => [2,1,4,3] => 2
[1,0,1,1,0,1,0,0] => [2,4,1,3] => 1
[1,0,1,1,1,0,0,0] => [2,1,3,4] => 1
[1,1,0,0,1,0,1,0] => [1,3,4,2] => 1
[1,1,0,0,1,1,0,0] => [1,3,2,4] => 1
[1,1,0,1,0,0,1,0] => [3,1,4,2] => 1
[1,1,0,1,0,1,0,0] => [3,4,1,2] => 1
[1,1,0,1,1,0,0,0] => [3,1,2,4] => 1
[1,1,1,0,0,0,1,0] => [1,2,4,3] => 1
[1,1,1,0,0,1,0,0] => [1,4,2,3] => 1
[1,1,1,0,1,0,0,0] => [4,1,2,3] => 1
[1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => 1
[1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => 1
[1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => 2
[1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => 1
[1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => 1
[1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => 2
[1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => 2
[1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => 1
[1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => 1
[1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => 1
[1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => 2
[1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => 2
[1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => 1
[1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => 1
[1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => 1
[1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => 1
[1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => 2
[1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => 1
[1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => 1
[1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => 1
[1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => 1
[1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => 1
[1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => 1
[1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => 1
[1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => 2
[1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => 1
[1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => 1
[1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => 1
[1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => 1
[1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => 1
[1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => 1
[1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => 1
[1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => 1
[1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => 1
[1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => 1
[1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => 1
[1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => 1
[1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => 1
[1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => 1
[1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => 1
[1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => 1
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
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Description
The number of connected components of the quiver of $A/T$ when $T$ is the 1-tilting module corresponding to the permutation in the Auslander algebra $A$ of $K[x]/(x^n)$.
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.