Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001408
Mapping
St001408: Semistandard tableaux ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[1,2]]
 => 0
[[2,2]]
 => 1
[[1],[2]]
 => 1
[[1,3]]
 => 0
[[2,3]]
 => 0
[[3,3]]
 => 1
[[1],[3]]
 => 0
[[2],[3]]
 => 1
[[1,1,2]]
 => 1
[[1,2,2]]
 => 1
[[2,2,2]]
 => 2
[[1,1],[2]]
 => 1
[[1,2],[2]]
 => 1
[[1,4]]
 => 0
[[2,4]]
 => 0
[[3,4]]
 => 0
[[4,4]]
 => 1
[[1],[4]]
 => 0
[[2],[4]]
 => 0
[[3],[4]]
 => 1
[[1,1,3]]
 => 1
[[1,2,3]]
 => 0
[[1,3,3]]
 => 1
[[2,2,3]]
 => 1
[[2,3,3]]
 => 1
[[3,3,3]]
 => 2
[[1,1],[3]]
 => 1
[[1,2],[3]]
 => 0
[[1,3],[2]]
 => 1
[[1,3],[3]]
 => 0
[[2,2],[3]]
 => 1
[[2,3],[3]]
 => 1
[[1],[2],[3]]
 => 2
[[1,1,1,2]]
 => 2
[[1,1,2,2]]
 => 2
[[1,2,2,2]]
 => 2
[[2,2,2,2]]
 => 3
[[1,1,1],[2]]
 => 2
[[1,1,2],[2]]
 => 1
[[1,2,2],[2]]
 => 2
[[1,1],[2,2]]
 => 3
[[1,5]]
 => 0
[[2,5]]
 => 0
[[3,5]]
 => 0
[[4,5]]
 => 0
[[5,5]]
 => 1
[[1],[5]]
 => 0
[[2],[5]]
 => 0
[[3],[5]]
 => 0
[[4],[5]]
 => 1
Description
The number of maximal entries in a semistandard tableau. An entry is maximal if replacing it with a larger entry does not yield a semistandard tableau.