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Identifier

St000103: Semistandard tableaux ⟶ ℤ

Values

[[1]] => 1

[[1,1]] => 2

[[1,2]] => 3

[[2,2]] => 4

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

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

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

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

[[2,2,2]] => 6

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

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

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

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

[[1,3,3]] => 7

[[2,2,3]] => 7

[[2,3,3]] => 8

[[3,3,3]] => 9

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

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

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

[[1,3],[3]] => 7

[[2,2],[3]] => 7

[[2,3],[3]] => 8

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

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

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

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

[[1,2,2,2]] => 7

[[2,2,2,2]] => 8

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

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

[[1,2,2],[2]] => 7

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

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

[[1,1,2,3]] => 7

[[1,1,3,3]] => 8

[[1,2,2,3]] => 8

[[1,2,3,3]] => 9

[[1,3,3,3]] => 10

[[2,2,2,3]] => 9

[[2,2,3,3]] => 10

[[2,3,3,3]] => 11

[[3,3,3,3]] => 12

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

[[1,1,2],[3]] => 7

[[1,1,3],[2]] => 7

[[1,1,3],[3]] => 8

[[1,2,2],[3]] => 8

[[1,2,3],[2]] => 8

[[1,2,3],[3]] => 9

[[1,3,3],[2]] => 9

[[1,3,3],[3]] => 10

[[2,2,2],[3]] => 9

[[2,2,3],[3]] => 10

[[2,3,3],[3]] => 11

[[1,1],[2,3]] => 7

[[1,1],[3,3]] => 8

[[1,2],[2,3]] => 8

[[1,2],[3,3]] => 9

[[2,2],[3,3]] => 10

[[1,1],[2],[3]] => 7

[[1,2],[2],[3]] => 8

[[1,3],[2],[3]] => 9

[[1,1,1,4]] => 7

[[1,1,2,4]] => 8

[[1,1,3,4]] => 9

[[1,1,4,4]] => 10

[[1,2,2,4]] => 9

[[1,2,3,4]] => 10

[[1,2,4,4]] => 11

[[1,3,3,4]] => 11

[[1,3,4,4]] => 12

[[1,4,4,4]] => 13

[[2,2,2,4]] => 10

[[2,2,3,4]] => 11

[[2,2,4,4]] => 12

[[2,3,3,4]] => 12

[[2,3,4,4]] => 13

[[2,4,4,4]] => 14

[[3,3,3,4]] => 13

[[3,3,4,4]] => 14

[[3,4,4,4]] => 15

[[4,4,4,4]] => 16

[[1,1,1],[4]] => 7

[[1,1,2],[4]] => 8

[[1,1,4],[2]] => 8

[[1,1,3],[4]] => 9

[[1,1,4],[3]] => 9

[[1,1,4],[4]] => 10

[[1,2,2],[4]] => 9

[[1,2,4],[2]] => 9

[[1,2,3],[4]] => 10

[[1,2,4],[3]] => 10

[[1,3,4],[2]] => 10

[[1,2,4],[4]] => 11

[[1,4,4],[2]] => 11

[[1,3,3],[4]] => 11

[[1,3,4],[3]] => 11

[[1,3,4],[4]] => 12

[[1,4,4],[3]] => 12

[[1,4,4],[4]] => 13

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Description

The sum of the entries of a semistandard tableau.

Code

def statistic(s):
    return sum(s.entries())

Created

Jun 14, 2013 at 00:58 by Jessica Striker

Updated

Oct 19, 2015 at 16:36 by Christian Stump