Identifier
Values
([],1) => [2] => [[1,2]] => 0
([],2) => [2,2] => [[1,2],[3,4]] => 0
([(0,1)],2) => [3] => [[1,2,3]] => 0
([],3) => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
([(1,2)],3) => [6] => [[1,2,3,4,5,6]] => 0
([(0,1),(0,2)],3) => [3,2] => [[1,2,5],[3,4]] => 1
([(0,2),(2,1)],3) => [4] => [[1,2,3,4]] => 0
([(0,2),(1,2)],3) => [3,2] => [[1,2,5],[3,4]] => 1
([(0,2),(0,3),(3,1)],4) => [7] => [[1,2,3,4,5,6,7]] => 0
([(0,1),(0,2),(1,3),(2,3)],4) => [4,2] => [[1,2,5,6],[3,4]] => 2
([(1,2),(2,3)],4) => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
([(0,3),(3,1),(3,2)],4) => [4,2] => [[1,2,5,6],[3,4]] => 2
([(0,3),(1,3),(3,2)],4) => [4,2] => [[1,2,5,6],[3,4]] => 2
([(0,3),(1,2),(1,3)],4) => [5,3] => [[1,2,3,7,8],[4,5,6]] => 2
([(0,2),(0,3),(1,2),(1,3)],4) => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 2
([(0,3),(2,1),(3,2)],4) => [5] => [[1,2,3,4,5]] => 0
([(0,3),(1,2),(2,3)],4) => [7] => [[1,2,3,4,5,6,7]] => 0
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 4
([(0,4),(1,4),(4,2),(4,3)],5) => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 4
([(0,4),(1,4),(2,3),(4,2)],5) => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 4
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [8] => [[1,2,3,4,5,6,7,8]] => 0
([(0,3),(3,4),(4,1),(4,2)],5) => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,4),(1,2),(2,4),(4,3)],5) => [8] => [[1,2,3,4,5,6,7,8]] => 0
([(0,4),(3,2),(4,1),(4,3)],5) => [8] => [[1,2,3,4,5,6,7,8]] => 0
([(0,4),(2,3),(3,1),(4,2)],5) => [6] => [[1,2,3,4,5,6]] => 0
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [5,2] => [[1,2,5,6,7],[3,4]] => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => [[1,2,5,6,7,8],[3,4]] => 4
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [6,2] => [[1,2,5,6,7,8],[3,4]] => 4
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [6,2] => [[1,2,5,6,7,8],[3,4]] => 4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [6,2] => [[1,2,5,6,7,8],[3,4]] => 4
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [7] => [[1,2,3,4,5,6,7]] => 0
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [6,2] => [[1,2,5,6,7,8],[3,4]] => 4
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [8] => [[1,2,3,4,5,6,7,8]] => 0
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 comajor index of a standard tableau minus the weighted size of its shape.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.