Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001598
St001598: Plane partitions ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
[[1]]
=> 0
[[1],[1]]
=> 1
[[2]]
=> 1
[[1,1]]
=> 1
[[1],[1],[1]]
=> 2
[[2],[1]]
=> 1
[[1,1],[1]]
=> 1
[[3]]
=> 2
[[2,1]]
=> 1
[[1,1,1]]
=> 2
[[1],[1],[1],[1]]
=> 3
[[2],[1],[1]]
=> 2
[[2],[2]]
=> 2
[[1,1],[1],[1]]
=> 2
[[1,1],[1,1]]
=> 2
[[3],[1]]
=> 2
[[2,1],[1]]
=> 1
[[1,1,1],[1]]
=> 2
[[4]]
=> 3
[[3,1]]
=> 2
[[2,2]]
=> 2
[[2,1,1]]
=> 2
[[1,1,1,1]]
=> 3
[[1],[1],[1],[1],[1]]
=> 4
[[2],[1],[1],[1]]
=> 3
[[2],[2],[1]]
=> 2
[[1,1],[1],[1],[1]]
=> 3
[[1,1],[1,1],[1]]
=> 2
[[3],[1],[1]]
=> 2
[[3],[2]]
=> 2
[[2,1],[1],[1]]
=> 2
[[2,1],[2]]
=> 2
[[2,1],[1,1]]
=> 2
[[1,1,1],[1],[1]]
=> 2
[[1,1,1],[1,1]]
=> 2
[[4],[1]]
=> 3
[[3,1],[1]]
=> 2
[[2,2],[1]]
=> 2
[[2,1,1],[1]]
=> 2
[[1,1,1,1],[1]]
=> 3
[[5]]
=> 4
[[4,1]]
=> 3
[[3,2]]
=> 2
[[3,1,1]]
=> 2
[[2,2,1]]
=> 2
[[2,1,1,1]]
=> 3
[[1,1,1,1,1]]
=> 4
[[1],[1],[1],[1],[1],[1]]
=> 5
[[2],[1],[1],[1],[1]]
=> 4
[[2],[2],[1],[1]]
=> 3
Description
The maximal distance of a cell from the origin. Put differently, this is the maximal sum of coordinates of a cell. This statistic is undefined for the empty plane partition.