Identifier
Values
[1,2] => [1,2] => ([(0,1)],2) => 1
[2,1] => [1,2] => ([(0,1)],2) => 1
[1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 2
[1,3,2] => [1,2,3] => ([(0,2),(2,1)],3) => 2
[2,1,3] => [1,2,3] => ([(0,2),(2,1)],3) => 2
[2,3,1] => [1,2,3] => ([(0,2),(2,1)],3) => 2
[3,1,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[3,2,1] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[1,2,4,3] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[1,3,2,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[1,3,4,2] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[2,1,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[2,1,4,3] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[2,3,1,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[2,3,4,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 3
[1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,3,5,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,4,3,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,2,4,5,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,2,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,2,5,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,4,2,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[1,3,4,5,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,3,5,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,4,3,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,1,4,5,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,1,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,1,5,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,4,1,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
[2,3,4,5,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 4
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
The number of (upper) dissectors of a poset.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.