Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001920
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Mapping
St001920: Plane partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[1]]
 => 1
[[1],[1]]
 => 2
[[2]]
 => 2
[[1,1]]
 => 2
[[1],[1],[1]]
 => 3
[[2],[1]]
 => 2
[[1,1],[1]]
 => 2
[[3]]
 => 3
[[2,1]]
 => 2
[[1,1,1]]
 => 3
[[1],[1],[1],[1]]
 => 4
[[2],[1],[1]]
 => 3
[[2],[2]]
 => 2
[[1,1],[1],[1]]
 => 3
[[1,1],[1,1]]
 => 2
[[3],[1]]
 => 3
[[2,1],[1]]
 => 2
[[1,1,1],[1]]
 => 3
[[4]]
 => 4
[[3,1]]
 => 3
[[2,2]]
 => 2
[[2,1,1]]
 => 3
[[1,1,1,1]]
 => 4
[[1],[1],[1],[1],[1]]
 => 5
[[2],[1],[1],[1]]
 => 4
[[2],[2],[1]]
 => 3
[[1,1],[1],[1],[1]]
 => 4
[[1,1],[1,1],[1]]
 => 3
[[3],[1],[1]]
 => 3
[[3],[2]]
 => 3
[[2,1],[1],[1]]
 => 3
[[2,1],[2]]
 => 2
[[2,1],[1,1]]
 => 2
[[1,1,1],[1],[1]]
 => 3
[[1,1,1],[1,1]]
 => 3
[[4],[1]]
 => 4
[[3,1],[1]]
 => 3
[[2,2],[1]]
 => 2
[[2,1,1],[1]]
 => 3
[[1,1,1,1],[1]]
 => 4
[[5]]
 => 5
[[4,1]]
 => 4
[[3,2]]
 => 3
[[3,1,1]]
 => 3
[[2,2,1]]
 => 3
[[2,1,1,1]]
 => 4
[[1,1,1,1,1]]
 => 5
[[1],[1],[1],[1],[1],[1]]
 => 6
[[2],[1],[1],[1],[1]]
 => 5
[[2],[2],[1],[1]]
 => 4
Description
The minimal size of an ambient cube that contains the plane partition. This is the maximum of the number of partitions, the length of the first partition and the maximal part of the first partition of a plane partition.