- FindStat

edit this statistic or download as text // json

Identifier

St001401: Semistandard tableaux ⟶ ℤ

Values

[[1]] => 1

[[1,1]] => 1

[[1,2]] => 2

[[2,2]] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1200 entries. <<<

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

Description

The number of distinct entries in a semistandard tableau.

Code

def statistic(T):
    return len(set(T.entries()))

Created

May 29, 2019 at 12:16 by Martin Rubey

Updated

May 29, 2019 at 12:16 by Martin Rubey