Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001445
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Mapping
St001445: Plane partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[1]]
 => 1
[[1],[1]]
 => 1
[[2]]
 => 1
[[1,1]]
 => 1
[[1],[1],[1]]
 => 1
[[2],[1]]
 => 2
[[1,1],[1]]
 => 2
[[3]]
 => 1
[[2,1]]
 => 2
[[1,1,1]]
 => 1
[[1],[1],[1],[1]]
 => 1
[[2],[1],[1]]
 => 2
[[2],[2]]
 => 1
[[1,1],[1],[1]]
 => 2
[[1,1],[1,1]]
 => 1
[[3],[1]]
 => 2
[[2,1],[1]]
 => 3
[[1,1,1],[1]]
 => 2
[[4]]
 => 1
[[3,1]]
 => 2
[[2,2]]
 => 1
[[2,1,1]]
 => 2
[[1,1,1,1]]
 => 1
[[1],[1],[1],[1],[1]]
 => 1
[[2],[1],[1],[1]]
 => 2
[[2],[2],[1]]
 => 2
[[1,1],[1],[1],[1]]
 => 2
[[1,1],[1,1],[1]]
 => 2
[[3],[1],[1]]
 => 2
[[3],[2]]
 => 2
[[2,1],[1],[1]]
 => 3
[[2,1],[2]]
 => 2
[[2,1],[1,1]]
 => 2
[[1,1,1],[1],[1]]
 => 2
[[1,1,1],[1,1]]
 => 2
[[4],[1]]
 => 2
[[3,1],[1]]
 => 3
[[2,2],[1]]
 => 2
[[2,1,1],[1]]
 => 3
[[1,1,1,1],[1]]
 => 2
[[5]]
 => 1
[[4,1]]
 => 2
[[3,2]]
 => 2
[[3,1,1]]
 => 2
[[2,2,1]]
 => 2
[[2,1,1,1]]
 => 2
[[1,1,1,1,1]]
 => 1
[[1],[1],[1],[1],[1],[1]]
 => 1
[[2],[1],[1],[1],[1]]
 => 2
[[2],[2],[1],[1]]
 => 2
Description
The number of maximal boxes of a plane partition. This is the size of the antichain in the corresponding product of 3 chains poset. Equivalently, this is the number of boxes that can be removed from the plane partition, such that the result is a plane partition.