Identifier
- St001713: Gelfand-Tsetlin patterns ⟶ ℤ
Values
=>
Cc0018;cc-rep
[[1,0],[0]]=>1
[[1,0],[1]]=>1
[[2,0],[0]]=>2
[[2,0],[1]]=>2
[[2,0],[2]]=>2
[[1,1],[1]]=>0
[[3,0],[0]]=>3
[[3,0],[1]]=>3
[[3,0],[2]]=>3
[[3,0],[3]]=>3
[[2,1],[1]]=>1
[[2,1],[2]]=>1
[[4,0],[0]]=>4
[[4,0],[1]]=>4
[[4,0],[2]]=>4
[[4,0],[3]]=>4
[[4,0],[4]]=>4
[[3,1],[1]]=>2
[[3,1],[2]]=>2
[[3,1],[3]]=>2
[[2,2],[2]]=>0
[[5,0],[0]]=>5
[[5,0],[1]]=>5
[[5,0],[2]]=>5
[[5,0],[3]]=>5
[[5,0],[4]]=>5
[[5,0],[5]]=>5
[[4,1],[1]]=>3
[[4,1],[2]]=>3
[[4,1],[3]]=>3
[[4,1],[4]]=>3
[[3,2],[2]]=>1
[[3,2],[3]]=>1
[[1,0,0],[0,0],[0]]=>1
[[1,0,0],[1,0],[0]]=>1
[[1,0,0],[1,0],[1]]=>1
[[2,0,0],[0,0],[0]]=>2
[[2,0,0],[1,0],[0]]=>2
[[2,0,0],[1,0],[1]]=>2
[[2,0,0],[2,0],[0]]=>2
[[2,0,0],[2,0],[1]]=>2
[[2,0,0],[2,0],[2]]=>2
[[1,1,0],[1,0],[0]]=>1
[[1,1,0],[1,0],[1]]=>1
[[1,1,0],[1,1],[1]]=>1
[[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]]=>3
[[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]]=>2
[[2,1,0],[1,0],[1]]=>2
[[2,1,0],[1,1],[1]]=>2
[[2,1,0],[2,0],[0]]=>2
[[2,1,0],[2,0],[1]]=>2
[[2,1,0],[2,0],[2]]=>2
[[2,1,0],[2,1],[1]]=>2
[[2,1,0],[2,1],[2]]=>2
[[1,1,1],[1,1],[1]]=>0
[[4,0,0],[0,0],[0]]=>4
[[4,0,0],[1,0],[0]]=>4
[[4,0,0],[1,0],[1]]=>4
[[4,0,0],[2,0],[0]]=>4
[[4,0,0],[2,0],[1]]=>4
[[4,0,0],[2,0],[2]]=>4
[[4,0,0],[3,0],[0]]=>4
[[4,0,0],[3,0],[1]]=>4
[[4,0,0],[3,0],[2]]=>4
[[4,0,0],[3,0],[3]]=>4
[[4,0,0],[4,0],[0]]=>4
[[4,0,0],[4,0],[1]]=>4
[[4,0,0],[4,0],[2]]=>4
[[4,0,0],[4,0],[3]]=>4
[[4,0,0],[4,0],[4]]=>4
[[3,1,0],[1,0],[0]]=>3
[[3,1,0],[1,0],[1]]=>3
[[3,1,0],[1,1],[1]]=>3
[[3,1,0],[2,0],[0]]=>3
[[3,1,0],[2,0],[1]]=>3
[[3,1,0],[2,0],[2]]=>3
[[3,1,0],[2,1],[1]]=>3
[[3,1,0],[2,1],[2]]=>3
[[3,1,0],[3,0],[0]]=>3
[[3,1,0],[3,0],[1]]=>3
[[3,1,0],[3,0],[2]]=>3
[[3,1,0],[3,0],[3]]=>3
[[3,1,0],[3,1],[1]]=>3
[[3,1,0],[3,1],[2]]=>3
[[3,1,0],[3,1],[3]]=>3
[[2,2,0],[2,0],[0]]=>2
[[2,2,0],[2,0],[1]]=>2
[[2,2,0],[2,0],[2]]=>2
[[2,2,0],[2,1],[1]]=>2
[[2,2,0],[2,1],[2]]=>2
[[2,2,0],[2,2],[2]]=>2
[[2,1,1],[1,1],[1]]=>1
[[2,1,1],[2,1],[1]]=>1
[[2,1,1],[2,1],[2]]=>1
[[1,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0],[1,0,0],[0,0],[0]]=>1
[[1,0,0,0],[1,0,0],[1,0],[0]]=>1
[[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0],[1,0,0],[0,0],[0]]=>2
[[2,0,0,0],[1,0,0],[1,0],[0]]=>2
[[2,0,0,0],[1,0,0],[1,0],[1]]=>2
[[2,0,0,0],[2,0,0],[0,0],[0]]=>2
[[2,0,0,0],[2,0,0],[1,0],[0]]=>2
[[2,0,0,0],[2,0,0],[1,0],[1]]=>2
[[2,0,0,0],[2,0,0],[2,0],[0]]=>2
[[2,0,0,0],[2,0,0],[2,0],[1]]=>2
[[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[1,1,0,0],[1,0,0],[0,0],[0]]=>1
[[1,1,0,0],[1,0,0],[1,0],[0]]=>1
[[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0],[1,1,0],[1,0],[0]]=>1
[[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[3,0,0,0],[0,0,0],[0,0],[0]]=>3
[[3,0,0,0],[1,0,0],[0,0],[0]]=>3
[[3,0,0,0],[1,0,0],[1,0],[0]]=>3
[[3,0,0,0],[1,0,0],[1,0],[1]]=>3
[[3,0,0,0],[2,0,0],[0,0],[0]]=>3
[[3,0,0,0],[2,0,0],[1,0],[0]]=>3
[[3,0,0,0],[2,0,0],[1,0],[1]]=>3
[[3,0,0,0],[2,0,0],[2,0],[0]]=>3
[[3,0,0,0],[2,0,0],[2,0],[1]]=>3
[[3,0,0,0],[2,0,0],[2,0],[2]]=>3
[[3,0,0,0],[3,0,0],[0,0],[0]]=>3
[[3,0,0,0],[3,0,0],[1,0],[0]]=>3
[[3,0,0,0],[3,0,0],[1,0],[1]]=>3
[[3,0,0,0],[3,0,0],[2,0],[0]]=>3
[[3,0,0,0],[3,0,0],[2,0],[1]]=>3
[[3,0,0,0],[3,0,0],[2,0],[2]]=>3
[[3,0,0,0],[3,0,0],[3,0],[0]]=>3
[[3,0,0,0],[3,0,0],[3,0],[1]]=>3
[[3,0,0,0],[3,0,0],[3,0],[2]]=>3
[[3,0,0,0],[3,0,0],[3,0],[3]]=>3
[[2,1,0,0],[1,0,0],[0,0],[0]]=>2
[[2,1,0,0],[1,0,0],[1,0],[0]]=>2
[[2,1,0,0],[1,0,0],[1,0],[1]]=>2
[[2,1,0,0],[1,1,0],[1,0],[0]]=>2
[[2,1,0,0],[1,1,0],[1,0],[1]]=>2
[[2,1,0,0],[1,1,0],[1,1],[1]]=>2
[[2,1,0,0],[2,0,0],[0,0],[0]]=>2
[[2,1,0,0],[2,0,0],[1,0],[0]]=>2
[[2,1,0,0],[2,0,0],[1,0],[1]]=>2
[[2,1,0,0],[2,0,0],[2,0],[0]]=>2
[[2,1,0,0],[2,0,0],[2,0],[1]]=>2
[[2,1,0,0],[2,0,0],[2,0],[2]]=>2
[[2,1,0,0],[2,1,0],[1,0],[0]]=>2
[[2,1,0,0],[2,1,0],[1,0],[1]]=>2
[[2,1,0,0],[2,1,0],[1,1],[1]]=>2
[[2,1,0,0],[2,1,0],[2,0],[0]]=>2
[[2,1,0,0],[2,1,0],[2,0],[1]]=>2
[[2,1,0,0],[2,1,0],[2,0],[2]]=>2
[[2,1,0,0],[2,1,0],[2,1],[1]]=>2
[[2,1,0,0],[2,1,0],[2,1],[2]]=>2
[[1,1,1,0],[1,1,0],[1,0],[0]]=>1
[[1,1,1,0],[1,1,0],[1,0],[1]]=>1
[[1,1,1,0],[1,1,0],[1,1],[1]]=>1
[[1,1,1,0],[1,1,1],[1,1],[1]]=>1
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>1
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>1
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>2
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>1
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>1
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
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Description
The difference of the first and last value in the first row of the Gelfand-Tsetlin pattern.
Code
def statistic(G): return G[0][0]-G[0][-1]
Created
Apr 15, 2021 at 14:50 by Martin Rubey
Updated
Apr 15, 2021 at 14:50 by Martin Rubey
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