Identifier
Values
[[1,2]] => [[2,0],[1]] => 1
[[1],[2]] => [[1,1],[1]] => 1
[[1,2,3]] => [[3,0,0],[2,0],[1]] => 1
[[1,3],[2]] => [[2,1,0],[1,1],[1]] => 2
[[1,2],[3]] => [[2,1,0],[2,0],[1]] => 2
[[1],[2],[3]] => [[1,1,1],[1,1],[1]] => 1
[[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 1
[[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => 3
[[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[1,3],[2,4]] => [[2,2,0,0],[2,1,0],[1,1],[1]] => 2
[[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[1,3],[2],[4]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 3
[[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 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
click to show known generating functions       
Description
The order of promotion on a Gelfand-Tsetlin pattern.
Map
to Gelfand-Tsetlin pattern
Description
Sends a tableau to its corresponding Gelfand-Tsetlin pattern.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.