edit this statistic or download as text // json
Identifier
Values
=>
Cc0007;cc-rep
[[1]]=>1 [[1,2]]=>1 [[1],[2]]=>1 [[1,2,3]]=>1 [[1,3],[2]]=>2 [[1,2],[3]]=>2 [[1],[2],[3]]=>1 [[1,2,3,4]]=>1 [[1,3,4],[2]]=>3 [[1,2,4],[3]]=>3 [[1,2,3],[4]]=>3 [[1,3],[2,4]]=>2 [[1,2],[3,4]]=>2 [[1,4],[2],[3]]=>3 [[1,3],[2],[4]]=>3 [[1,2],[3],[4]]=>3 [[1],[2],[3],[4]]=>1 [[1,2,3,4,5]]=>1 [[1,3,4,5],[2]]=>4 [[1,2,4,5],[3]]=>4 [[1,2,3,5],[4]]=>4 [[1,2,3,4],[5]]=>4 [[1,3,5],[2,4]]=>2 [[1,2,5],[3,4]]=>3 [[1,3,4],[2,5]]=>3 [[1,2,4],[3,5]]=>2 [[1,2,3],[4,5]]=>3 [[1,4,5],[2],[3]]=>4 [[1,3,5],[2],[4]]=>2 [[1,2,5],[3],[4]]=>4 [[1,3,4],[2],[5]]=>4 [[1,2,4],[3],[5]]=>2 [[1,2,3],[4],[5]]=>4 [[1,4],[2,5],[3]]=>3 [[1,3],[2,5],[4]]=>2 [[1,2],[3,5],[4]]=>3 [[1,3],[2,4],[5]]=>3 [[1,2],[3,4],[5]]=>2 [[1,5],[2],[3],[4]]=>4 [[1,4],[2],[3],[5]]=>4 [[1,3],[2],[4],[5]]=>4 [[1,2],[3],[4],[5]]=>4 [[1],[2],[3],[4],[5]]=>1 [[1,2,3,4,5,6]]=>1 [[1,3,4,5,6],[2]]=>5 [[1,2,4,5,6],[3]]=>5 [[1,2,3,5,6],[4]]=>5 [[1,2,3,4,6],[5]]=>5 [[1,2,3,4,5],[6]]=>5 [[1,3,5,6],[2,4]]=>5 [[1,2,5,6],[3,4]]=>4 [[1,3,4,6],[2,5]]=>5 [[1,2,4,6],[3,5]]=>5 [[1,2,3,6],[4,5]]=>4 [[1,3,4,5],[2,6]]=>4 [[1,2,4,5],[3,6]]=>5 [[1,2,3,5],[4,6]]=>5 [[1,2,3,4],[5,6]]=>4 [[1,4,5,6],[2],[3]]=>5 [[1,3,5,6],[2],[4]]=>5 [[1,2,5,6],[3],[4]]=>5 [[1,3,4,6],[2],[5]]=>5 [[1,2,4,6],[3],[5]]=>5 [[1,2,3,6],[4],[5]]=>5 [[1,3,4,5],[2],[6]]=>5 [[1,2,4,5],[3],[6]]=>5 [[1,2,3,5],[4],[6]]=>5 [[1,2,3,4],[5],[6]]=>5 [[1,3,5],[2,4,6]]=>2 [[1,2,5],[3,4,6]]=>3 [[1,3,4],[2,5,6]]=>3 [[1,2,4],[3,5,6]]=>2 [[1,2,3],[4,5,6]]=>3 [[1,4,6],[2,5],[3]]=>12 [[1,3,6],[2,5],[4]]=>12 [[1,2,6],[3,5],[4]]=>4 [[1,3,6],[2,4],[5]]=>12 [[1,2,6],[3,4],[5]]=>12 [[1,4,5],[2,6],[3]]=>4 [[1,3,5],[2,6],[4]]=>12 [[1,2,5],[3,6],[4]]=>12 [[1,3,4],[2,6],[5]]=>12 [[1,2,4],[3,6],[5]]=>12 [[1,2,3],[4,6],[5]]=>4 [[1,3,5],[2,4],[6]]=>12 [[1,2,5],[3,4],[6]]=>12 [[1,3,4],[2,5],[6]]=>4 [[1,2,4],[3,5],[6]]=>12 [[1,2,3],[4,5],[6]]=>12 [[1,5,6],[2],[3],[4]]=>5 [[1,4,6],[2],[3],[5]]=>5 [[1,3,6],[2],[4],[5]]=>5 [[1,2,6],[3],[4],[5]]=>5 [[1,4,5],[2],[3],[6]]=>5 [[1,3,5],[2],[4],[6]]=>5 [[1,2,5],[3],[4],[6]]=>5 [[1,3,4],[2],[5],[6]]=>5 [[1,2,4],[3],[5],[6]]=>5 [[1,2,3],[4],[5],[6]]=>5 [[1,4],[2,5],[3,6]]=>3 [[1,3],[2,5],[4,6]]=>2 [[1,2],[3,5],[4,6]]=>3 [[1,3],[2,4],[5,6]]=>3 [[1,2],[3,4],[5,6]]=>2 [[1,5],[2,6],[3],[4]]=>4 [[1,4],[2,6],[3],[5]]=>5 [[1,3],[2,6],[4],[5]]=>5 [[1,2],[3,6],[4],[5]]=>4 [[1,4],[2,5],[3],[6]]=>4 [[1,3],[2,5],[4],[6]]=>5 [[1,2],[3,5],[4],[6]]=>5 [[1,3],[2,4],[5],[6]]=>4 [[1,2],[3,4],[5],[6]]=>5 [[1,6],[2],[3],[4],[5]]=>5 [[1,5],[2],[3],[4],[6]]=>5 [[1,4],[2],[3],[5],[6]]=>5 [[1,3],[2],[4],[5],[6]]=>5 [[1,2],[3],[4],[5],[6]]=>5 [[1],[2],[3],[4],[5],[6]]=>1 [[1,2,3,4,5,6,7]]=>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
click to show known generating functions       
Description
The orbit size of a standard tableau under promotion.
References
[1] Schützenberger, M. P. Promotion des morphismes d'ensembles ordonnés MathSciNet:0299539
[2] Stanley, R. P. Promotion and evacuation MathSciNet:2515772
Code
def statistic(self):
    n = self.size() -1
    new = self.promotion(n)
    i = 1
    while new != self:
        new = new.promotion(n)
        i = i+1
    else:
        return i
Created
Jun 11, 2013 at 15:46 by Jessica Striker
Updated
Oct 16, 2015 at 11:54 by Christian Stump