Identifier
-
Mp00306:
Posets
—rowmotion cycle type⟶
Integer partitions
Mp00179: Integer partitions —to skew partition⟶ Skew partitions
St001597: Skew partitions ⟶ ℤ
Values
([],1) => [2] => [[2],[]] => 1
([],2) => [2,2] => [[2,2],[]] => 2
([(0,1)],2) => [3] => [[3],[]] => 1
([(1,2)],3) => [6] => [[6],[]] => 1
([(0,1),(0,2)],3) => [3,2] => [[3,2],[]] => 2
([(0,2),(2,1)],3) => [4] => [[4],[]] => 1
([(0,2),(1,2)],3) => [3,2] => [[3,2],[]] => 2
([(0,2),(0,3),(3,1)],4) => [7] => [[7],[]] => 1
([(0,1),(0,2),(1,3),(2,3)],4) => [4,2] => [[4,2],[]] => 2
([(0,3),(3,1),(3,2)],4) => [4,2] => [[4,2],[]] => 2
([(0,3),(1,3),(3,2)],4) => [4,2] => [[4,2],[]] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [3,2,2] => [[3,2,2],[]] => 2
([(0,3),(2,1),(3,2)],4) => [5] => [[5],[]] => 1
([(0,3),(1,2),(2,3)],4) => [7] => [[7],[]] => 1
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [5,2] => [[5,2],[]] => 2
([(0,4),(1,4),(2,3),(4,2)],5) => [5,2] => [[5,2],[]] => 2
([(0,3),(3,4),(4,1),(4,2)],5) => [5,2] => [[5,2],[]] => 2
([(0,4),(2,3),(3,1),(4,2)],5) => [6] => [[6],[]] => 1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [5,2] => [[5,2],[]] => 2
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [7] => [[7],[]] => 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 Frobenius rank of a skew partition.
This is the minimal number of border strips in a border strip decomposition of the skew partition.
This is the minimal number of border strips in a border strip decomposition of the skew partition.
Map
to skew partition
Description
The partition regarded as a skew partition.
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!