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Matching statistic: St000736
Mp00107: Semistandard tableaux —catabolism⟶ Semistandard tableaux
Mp00107: Semistandard tableaux —catabolism⟶ Semistandard tableaux
Mp00107: Semistandard tableaux —catabolism⟶ Semistandard tableaux
St000736: Semistandard tableaux ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Mp00107: Semistandard tableaux —catabolism⟶ Semistandard tableaux
Mp00107: Semistandard tableaux —catabolism⟶ Semistandard tableaux
St000736: Semistandard tableaux ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[1,2]]
=> [[1,2]]
=> [[1,2]]
=> [[1,2]]
=> 2
[[2,2]]
=> [[2,2]]
=> [[2,2]]
=> [[2,2]]
=> 2
[[1],[2]]
=> [[1,2]]
=> [[1,2]]
=> [[1,2]]
=> 2
[[1,1,2]]
=> [[1,1,2]]
=> [[1,1,2]]
=> [[1,1,2]]
=> 2
[[1,2,2]]
=> [[1,2,2]]
=> [[1,2,2]]
=> [[1,2,2]]
=> 2
[[2,2,2]]
=> [[2,2,2]]
=> [[2,2,2]]
=> [[2,2,2]]
=> 2
[[1,1],[2]]
=> [[1,1,2]]
=> [[1,1,2]]
=> [[1,1,2]]
=> 2
[[1,2],[2]]
=> [[1,2,2]]
=> [[1,2,2]]
=> [[1,2,2]]
=> 2
[[1,1,3]]
=> [[1,1,3]]
=> [[1,1,3]]
=> [[1,1,3]]
=> 3
[[1,2,3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> 3
[[1,3,3]]
=> [[1,3,3]]
=> [[1,3,3]]
=> [[1,3,3]]
=> 3
[[2,2,3]]
=> [[2,2,3]]
=> [[2,2,3]]
=> [[2,2,3]]
=> 3
[[2,3,3]]
=> [[2,3,3]]
=> [[2,3,3]]
=> [[2,3,3]]
=> 3
[[3,3,3]]
=> [[3,3,3]]
=> [[3,3,3]]
=> [[3,3,3]]
=> 3
[[1,1],[3]]
=> [[1,1,3]]
=> [[1,1,3]]
=> [[1,1,3]]
=> 3
[[1,2],[3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> 3
[[1,3],[2]]
=> [[1,2],[3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> 3
[[1,3],[3]]
=> [[1,3,3]]
=> [[1,3,3]]
=> [[1,3,3]]
=> 3
[[2,2],[3]]
=> [[2,2,3]]
=> [[2,2,3]]
=> [[2,2,3]]
=> 3
[[2,3],[3]]
=> [[2,3,3]]
=> [[2,3,3]]
=> [[2,3,3]]
=> 3
[[1],[2],[3]]
=> [[1,2],[3]]
=> [[1,2,3]]
=> [[1,2,3]]
=> 3
[[1,1,1,2]]
=> [[1,1,1,2]]
=> [[1,1,1,2]]
=> [[1,1,1,2]]
=> 2
[[1,1,2,2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> 2
[[1,2,2,2]]
=> [[1,2,2,2]]
=> [[1,2,2,2]]
=> [[1,2,2,2]]
=> 2
[[2,2,2,2]]
=> [[2,2,2,2]]
=> [[2,2,2,2]]
=> [[2,2,2,2]]
=> 2
[[1,1,1],[2]]
=> [[1,1,1,2]]
=> [[1,1,1,2]]
=> [[1,1,1,2]]
=> 2
[[1,1,2],[2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> 2
[[1,2,2],[2]]
=> [[1,2,2,2]]
=> [[1,2,2,2]]
=> [[1,2,2,2]]
=> 2
[[1,1],[2,2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> [[1,1,2,2]]
=> 2
[[1,1,1,3]]
=> [[1,1,1,3]]
=> [[1,1,1,3]]
=> [[1,1,1,3]]
=> 3
[[1,1,2,3]]
=> [[1,1,2,3]]
=> [[1,1,2,3]]
=> [[1,1,2,3]]
=> 3
[[1,1,3,3]]
=> [[1,1,3,3]]
=> [[1,1,3,3]]
=> [[1,1,3,3]]
=> 3
[[1,2,2,3]]
=> [[1,2,2,3]]
=> [[1,2,2,3]]
=> [[1,2,2,3]]
=> 3
[[1,2,3,3]]
=> [[1,2,3,3]]
=> [[1,2,3,3]]
=> [[1,2,3,3]]
=> 3
[[1,3,3,3]]
=> [[1,3,3,3]]
=> [[1,3,3,3]]
=> [[1,3,3,3]]
=> 3
[[2,2,2,3]]
=> [[2,2,2,3]]
=> [[2,2,2,3]]
=> [[2,2,2,3]]
=> 3
[[2,2,3,3]]
=> [[2,2,3,3]]
=> [[2,2,3,3]]
=> [[2,2,3,3]]
=> 3
[[2,3,3,3]]
=> [[2,3,3,3]]
=> [[2,3,3,3]]
=> [[2,3,3,3]]
=> 3
[[3,3,3,3]]
=> [[3,3,3,3]]
=> [[3,3,3,3]]
=> [[3,3,3,3]]
=> 3
[[1,1,1],[3]]
=> [[1,1,1,3]]
=> [[1,1,1,3]]
=> [[1,1,1,3]]
=> 3
[[1,1,2],[3]]
=> [[1,1,2,3]]
=> [[1,1,2,3]]
=> [[1,1,2,3]]
=> 3
[[1,1,3],[2]]
=> [[1,1,2],[3]]
=> [[1,1,2,3]]
=> [[1,1,2,3]]
=> 3
[[1,1,3],[3]]
=> [[1,1,3,3]]
=> [[1,1,3,3]]
=> [[1,1,3,3]]
=> 3
[[1,2,2],[3]]
=> [[1,2,2,3]]
=> [[1,2,2,3]]
=> [[1,2,2,3]]
=> 3
[[1,2,3],[2]]
=> [[1,2,2],[3]]
=> [[1,2,2,3]]
=> [[1,2,2,3]]
=> 3
[[1,2,3],[3]]
=> [[1,2,3,3]]
=> [[1,2,3,3]]
=> [[1,2,3,3]]
=> 3
[[1,3,3],[2]]
=> [[1,2,3],[3]]
=> [[1,2,3,3]]
=> [[1,2,3,3]]
=> 3
[[1,3,3],[3]]
=> [[1,3,3,3]]
=> [[1,3,3,3]]
=> [[1,3,3,3]]
=> 3
[[2,2,2],[3]]
=> [[2,2,2,3]]
=> [[2,2,2,3]]
=> [[2,2,2,3]]
=> 3
[[2,2,3],[3]]
=> [[2,2,3,3]]
=> [[2,2,3,3]]
=> [[2,2,3,3]]
=> 3
Description
The last entry in the first row of a semistandard tableau.
Matching statistic: St001409
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St001409: Semistandard tableaux ⟶ ℤResult quality: 15% ●values known / values provided: 15%●distinct values known / distinct values provided: 50%
Values
[[1,2]]
=> 2
[[2,2]]
=> 2
[[1],[2]]
=> 2
[[1,1,2]]
=> 2
[[1,2,2]]
=> 2
[[2,2,2]]
=> 2
[[1,1],[2]]
=> 2
[[1,2],[2]]
=> 2
[[1,1,3]]
=> 3
[[1,2,3]]
=> 3
[[1,3,3]]
=> 3
[[2,2,3]]
=> 3
[[2,3,3]]
=> 3
[[3,3,3]]
=> 3
[[1,1],[3]]
=> 3
[[1,2],[3]]
=> 3
[[1,3],[2]]
=> 3
[[1,3],[3]]
=> 3
[[2,2],[3]]
=> 3
[[2,3],[3]]
=> 3
[[1],[2],[3]]
=> 3
[[1,1,1,2]]
=> 2
[[1,1,2,2]]
=> 2
[[1,2,2,2]]
=> 2
[[2,2,2,2]]
=> 2
[[1,1,1],[2]]
=> 2
[[1,1,2],[2]]
=> 2
[[1,2,2],[2]]
=> 2
[[1,1],[2,2]]
=> 2
[[1,1,1,3]]
=> 3
[[1,1,2,3]]
=> 3
[[1,1,3,3]]
=> 3
[[1,2,2,3]]
=> 3
[[1,2,3,3]]
=> 3
[[1,3,3,3]]
=> 3
[[2,2,2,3]]
=> 3
[[2,2,3,3]]
=> 3
[[2,3,3,3]]
=> 3
[[3,3,3,3]]
=> 3
[[1,1,1],[3]]
=> 3
[[1,1,2],[3]]
=> 3
[[1,1,3],[2]]
=> 3
[[1,1,3],[3]]
=> 3
[[1,2,2],[3]]
=> 3
[[1,2,3],[2]]
=> 3
[[1,2,3],[3]]
=> 3
[[1,3,3],[2]]
=> 3
[[1,3,3],[3]]
=> 3
[[2,2,2],[3]]
=> 3
[[2,2,3],[3]]
=> 3
[[1,1,1,1,4]]
=> ? = 4
[[1,1,1,2,4]]
=> ? = 4
[[1,1,1,3,4]]
=> ? = 4
[[1,1,1,4,4]]
=> ? = 4
[[1,1,2,2,4]]
=> ? = 4
[[1,1,2,3,4]]
=> ? = 4
[[1,1,2,4,4]]
=> ? = 4
[[1,1,3,3,4]]
=> ? = 4
[[1,1,3,4,4]]
=> ? = 4
[[1,1,4,4,4]]
=> ? = 4
[[1,2,2,2,4]]
=> ? = 4
[[1,2,2,3,4]]
=> ? = 4
[[1,2,2,4,4]]
=> ? = 4
[[1,2,3,3,4]]
=> ? = 4
[[1,2,3,4,4]]
=> ? = 4
[[1,2,4,4,4]]
=> ? = 4
[[1,3,3,3,4]]
=> ? = 4
[[1,3,3,4,4]]
=> ? = 4
[[1,3,4,4,4]]
=> ? = 4
[[1,4,4,4,4]]
=> ? = 4
[[2,2,2,2,4]]
=> ? = 4
[[2,2,2,3,4]]
=> ? = 4
[[2,2,2,4,4]]
=> ? = 4
[[2,2,3,3,4]]
=> ? = 4
[[2,2,3,4,4]]
=> ? = 4
[[2,2,4,4,4]]
=> ? = 4
[[2,3,3,3,4]]
=> ? = 4
[[2,3,3,4,4]]
=> ? = 4
[[2,3,4,4,4]]
=> ? = 4
[[2,4,4,4,4]]
=> ? = 4
[[3,3,3,3,4]]
=> ? = 4
[[3,3,3,4,4]]
=> ? = 4
[[3,3,4,4,4]]
=> ? = 4
[[3,4,4,4,4]]
=> ? = 4
[[4,4,4,4,4]]
=> ? = 4
[[1,1,1,1],[4]]
=> ? = 4
[[1,1,1,2],[4]]
=> ? = 4
[[1,1,1,4],[2]]
=> ? = 4
[[1,1,1,3],[4]]
=> ? = 4
[[1,1,1,4],[3]]
=> ? = 4
[[1,1,1,4],[4]]
=> ? = 4
[[1,1,2,2],[4]]
=> ? = 4
[[1,1,2,4],[2]]
=> ? = 4
[[1,1,2,3],[4]]
=> ? = 4
[[1,1,2,4],[3]]
=> ? = 4
[[1,1,3,4],[2]]
=> ? = 4
[[1,1,2,4],[4]]
=> ? = 4
[[1,1,4,4],[2]]
=> ? = 4
[[1,1,3,3],[4]]
=> ? = 4
[[1,1,3,4],[3]]
=> ? = 4
Description
The maximal entry of a semistandard tableau.
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