Identifier
Values
[1] => [1] => ([],1) => 1
[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) => 1
[1,3,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[2,1,3] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[2,3,1] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[3,1,2] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[3,2,1] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[2,3,4,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[3,4,1,2] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[3,4,2,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[4,1,2,3] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[4,2,3,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[4,3,1,2] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[4,3,2,1] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[2,3,4,5,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,4,5,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[3,4,5,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,1,2,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,2,3,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,3,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[4,5,3,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,1,2,3,4] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,2,3,4,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,4,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,3,4,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,1,2,3] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,2,3,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,3,1,2] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[5,4,3,2,1] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 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
Description
The number of connected components of the Hasse diagram for the poset.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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.