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Statistic identifier: St001713
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Collection: Gelfand-Tsetlin patterns
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Description: The difference of the first and last value in the first row of the Gelfand-Tsetlin pattern.
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References:
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Code:
def statistic(G):
return G[0][0]-G[0][-1]
-----------------------------------------------------------------------------
Statistic values:
[[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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Created: Apr 15, 2021 at 14:50 by Martin Rubey
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Last Updated: Apr 15, 2021 at 14:50 by Martin Rubey