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Identifier

St000739: Semistandard tableaux ⟶ ℤ

Values

[[1]] => 1

[[1,1]] => 1

[[1,2]] => 1

[[2,2]] => 2

[[1],[2]] => 2

[[1,1,1]] => 1

[[1,1,2]] => 1

[[1,2,2]] => 1

[[2,2,2]] => 2

[[1,1],[2]] => 2

[[1,2],[2]] => 2

[[1,1,3]] => 1

[[1,2,3]] => 1

[[1,3,3]] => 1

[[2,2,3]] => 2

[[2,3,3]] => 2

[[3,3,3]] => 3

[[1,1],[3]] => 3

[[1,2],[3]] => 3

[[1,3],[2]] => 2

[[1,3],[3]] => 3

[[2,2],[3]] => 3

[[2,3],[3]] => 3

[[1],[2],[3]] => 3

[[1,1,1,1]] => 1

[[1,1,1,2]] => 1

[[1,1,2,2]] => 1

[[1,2,2,2]] => 1

[[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]] => 1

[[1,1,2,3]] => 1

[[1,1,3,3]] => 1

[[1,2,2,3]] => 1

[[1,2,3,3]] => 1

[[1,3,3,3]] => 1

[[2,2,2,3]] => 2

[[2,2,3,3]] => 2

[[2,3,3,3]] => 2

[[3,3,3,3]] => 3

[[1,1,1],[3]] => 3

[[1,1,2],[3]] => 3

[[1,1,3],[2]] => 2

[[1,1,3],[3]] => 3

[[1,2,2],[3]] => 3

[[1,2,3],[2]] => 2

[[1,2,3],[3]] => 3

[[1,3,3],[2]] => 2

[[1,3,3],[3]] => 3

[[2,2,2],[3]] => 3

[[2,2,3],[3]] => 3

[[2,3,3],[3]] => 3

[[1,1],[2,3]] => 2

[[1,1],[3,3]] => 3

[[1,2],[2,3]] => 2

[[1,2],[3,3]] => 3

[[2,2],[3,3]] => 3

[[1,1],[2],[3]] => 3

[[1,2],[2],[3]] => 3

[[1,3],[2],[3]] => 3

[[1,1,1,4]] => 1

[[1,1,2,4]] => 1

[[1,1,3,4]] => 1

[[1,1,4,4]] => 1

[[1,2,2,4]] => 1

[[1,2,3,4]] => 1

[[1,2,4,4]] => 1

[[1,3,3,4]] => 1

[[1,3,4,4]] => 1

[[1,4,4,4]] => 1

[[2,2,2,4]] => 2

[[2,2,3,4]] => 2

[[2,2,4,4]] => 2

[[2,3,3,4]] => 2

[[2,3,4,4]] => 2

[[2,4,4,4]] => 2

[[3,3,3,4]] => 3

[[3,3,4,4]] => 3

[[3,4,4,4]] => 3

[[4,4,4,4]] => 4

[[1,1,1],[4]] => 4

[[1,1,2],[4]] => 4

[[1,1,4],[2]] => 2

[[1,1,3],[4]] => 4

[[1,1,4],[3]] => 3

[[1,1,4],[4]] => 4

[[1,2,2],[4]] => 4

[[1,2,4],[2]] => 2

[[1,2,3],[4]] => 4

[[1,2,4],[3]] => 3

[[1,3,4],[2]] => 2

[[1,2,4],[4]] => 4

[[1,4,4],[2]] => 2

[[1,3,3],[4]] => 4

[[1,3,4],[3]] => 3

[[1,3,4],[4]] => 4

[[1,4,4],[3]] => 3

[[1,4,4],[4]] => 4

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Description

The first entry in the last row of a semistandard tableau.

Code

def statistic(T):
    return T[-1][0]

Created

Mar 29, 2017 at 11:05 by Christian Stump

Updated

Mar 29, 2017 at 11:05 by Christian Stump