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Identifier

St000102: Semistandard tableaux ⟶ ℤ

Values

[[1]] => 0

[[1,1]] => 0

[[1,2]] => 1

[[2,2]] => 0

[[1],[2]] => 0

[[1,1,1]] => 0

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

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

[[2,2,2]] => 0

[[1,1],[2]] => 0

[[1,2],[2]] => 0

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

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

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

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

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

[[3,3,3]] => 0

[[1,1],[3]] => 0

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

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

[[1,3],[3]] => 0

[[2,2],[3]] => 0

[[2,3],[3]] => 0

[[1],[2],[3]] => 0

[[1,1,1,1]] => 0

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

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

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

[[2,2,2,2]] => 0

[[1,1,1],[2]] => 0

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

[[1,2,2],[2]] => 0

[[1,1],[2,2]] => 0

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

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

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

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

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

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

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

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

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

[[3,3,3,3]] => 0

[[1,1,1],[3]] => 0

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

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

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

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

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

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

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

[[1,3,3],[3]] => 0

[[2,2,2],[3]] => 0

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

[[2,3,3],[3]] => 0

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

[[1,1],[3,3]] => 0

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

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

[[2,2],[3,3]] => 0

[[1,1],[2],[3]] => 0

[[1,2],[2],[3]] => 0

[[1,3],[2],[3]] => 0

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

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

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

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

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

[[1,2,3,4]] => 6

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

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

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

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

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

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

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

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

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

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

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

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

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

[[4,4,4,4]] => 0

[[1,1,1],[4]] => 0

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

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

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

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

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

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

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

[[1,2,3],[4]] => 5

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

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

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

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

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

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

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

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

[[1,4,4],[4]] => 0

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Description

The charge of a semistandard tableau.

Code

def statistic(T):
    return T.charge()

Created

Jun 13, 2013 at 20:42 by Travis Scrimshaw

Updated

Feb 17, 2015 at 17:47 by Martin Rubey