- FindStat

edit this statistic or download as text // json

Identifier

St001686: Gelfand-Tsetlin patterns ⟶ ℤ

Values

[[1,0],[0]] => 2

[[1,0],[1]] => 2

[[2,0],[0]] => 2

[[2,0],[1]] => 1

[[2,0],[2]] => 2

[[1,1],[1]] => 1

[[3,0],[0]] => 2

[[3,0],[1]] => 2

[[3,0],[2]] => 2

[[3,0],[3]] => 2

[[2,1],[1]] => 2

[[2,1],[2]] => 2

[[4,0],[0]] => 2

[[4,0],[1]] => 2

[[4,0],[2]] => 1

[[4,0],[3]] => 2

[[4,0],[4]] => 2

[[3,1],[1]] => 2

[[3,1],[2]] => 1

[[3,1],[3]] => 2

[[2,2],[2]] => 1

[[5,0],[0]] => 2

[[5,0],[1]] => 2

[[5,0],[2]] => 2

[[5,0],[3]] => 2

[[5,0],[4]] => 2

[[5,0],[5]] => 2

[[4,1],[1]] => 2

[[4,1],[2]] => 2

[[4,1],[3]] => 2

[[4,1],[4]] => 2

[[3,2],[2]] => 2

[[3,2],[3]] => 2

[[6,0],[0]] => 2

[[6,0],[1]] => 2

[[6,0],[2]] => 2

[[6,0],[3]] => 1

[[6,0],[4]] => 2

[[6,0],[5]] => 2

[[6,0],[6]] => 2

[[5,1],[1]] => 2

[[5,1],[2]] => 2

[[5,1],[3]] => 1

[[5,1],[4]] => 2

[[5,1],[5]] => 2

[[4,2],[2]] => 2

[[4,2],[3]] => 1

[[4,2],[4]] => 2

[[3,3],[3]] => 1

[[7,0],[0]] => 2

[[7,0],[1]] => 2

[[7,0],[2]] => 2

[[7,0],[3]] => 2

[[7,0],[4]] => 2

[[7,0],[5]] => 2

[[7,0],[6]] => 2

[[7,0],[7]] => 2

[[6,1],[1]] => 2

[[6,1],[2]] => 2

[[6,1],[3]] => 2

[[6,1],[4]] => 2

[[6,1],[5]] => 2

[[6,1],[6]] => 2

[[5,2],[2]] => 2

[[5,2],[3]] => 2

[[5,2],[4]] => 2

[[5,2],[5]] => 2

[[4,3],[3]] => 2

[[4,3],[4]] => 2

[[1,0,0],[0,0],[0]] => 3

[[1,0,0],[1,0],[0]] => 3

[[1,0,0],[1,0],[1]] => 3

[[2,0,0],[0,0],[0]] => 3

[[2,0,0],[1,0],[0]] => 3

[[2,0,0],[1,0],[1]] => 3

[[2,0,0],[2,0],[0]] => 3

[[2,0,0],[2,0],[1]] => 3

[[2,0,0],[2,0],[2]] => 3

[[1,1,0],[1,0],[0]] => 3

[[1,1,0],[1,0],[1]] => 3

[[1,1,0],[1,1],[1]] => 3

[[3,0,0],[0,0],[0]] => 3

[[3,0,0],[1,0],[0]] => 3

[[3,0,0],[1,0],[1]] => 3

[[3,0,0],[2,0],[0]] => 3

[[3,0,0],[2,0],[1]] => 1

[[3,0,0],[2,0],[2]] => 3

[[3,0,0],[3,0],[0]] => 3

[[3,0,0],[3,0],[1]] => 3

[[3,0,0],[3,0],[2]] => 3

[[3,0,0],[3,0],[3]] => 3

[[2,1,0],[1,0],[0]] => 3

[[2,1,0],[1,0],[1]] => 3

[[2,1,0],[1,1],[1]] => 2

[[2,1,0],[2,0],[0]] => 3

[[2,1,0],[2,0],[1]] => 2

[[2,1,0],[2,0],[2]] => 3

[[2,1,0],[2,1],[1]] => 3

[[2,1,0],[2,1],[2]] => 3

[[1,1,1],[1,1],[1]] => 1

[[4,0,0],[0,0],[0]] => 3

>>> Load all 1200 entries. <<<

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.

Code

def statistic(p):
    T = p.to_tableau()
    m = len(p)-1
    o = 1
    S = T.promotion(m)
    while S != T:
        o += 1
        S = S.promotion(m)
    return o

Created

Feb 21, 2021 at 16:58 by Martin Rubey

Updated

Feb 21, 2021 at 16:58 by Martin Rubey