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Identifier

St001454: Plane partitions ⟶ ℤ

Values

[[1]] => 0

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

[[2]] => 0

[[1,1]] => 0

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

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

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

[[3]] => 0

[[2,1]] => 1

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

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

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

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

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

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

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

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

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

[[4]] => 0

[[3,1]] => 2

[[2,2]] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5]] => 0

[[4,1]] => 3

[[3,2]] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[6]] => 0

[[5,1]] => 4

[[4,2]] => 2

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

[[3,3]] => 0

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

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

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

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

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

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

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

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

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

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

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

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

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Description

The difference between the largest and smallest heights of a plane partition.

Code

def statistic(P):
    heights = [height for row in P for height in row]
    return max(heights) - min(heights)

Created

Jul 26, 2019 at 17:56 by Joseph Bernstein

Updated

Jul 27, 2019 at 16:30 by Christian Stump