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Identifier

St000114: Gelfand-Tsetlin patterns ⟶ ℤ

Values

[[1]] => 1

[[2]] => 2

[[3]] => 3

[[4]] => 4

[[5]] => 5

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

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

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

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

[[2,0],[2]] => 4

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

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

[[3,0],[1]] => 4

[[3,0],[2]] => 5

[[3,0],[3]] => 6

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

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

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

[[4,0],[1]] => 5

[[4,0],[2]] => 6

[[4,0],[3]] => 7

[[4,0],[4]] => 8

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

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

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

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

[[5,0],[0]] => 5

[[5,0],[1]] => 6

[[5,0],[2]] => 7

[[5,0],[3]] => 8

[[5,0],[4]] => 9

[[5,0],[5]] => 10

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

[[4,1],[2]] => 7

[[4,1],[3]] => 8

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

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

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

[[6,0],[0]] => 6

[[6,0],[1]] => 7

[[6,0],[2]] => 8

[[6,0],[3]] => 9

[[6,0],[4]] => 10

[[6,0],[5]] => 11

[[6,0],[6]] => 12

[[5,1],[1]] => 7

[[5,1],[2]] => 8

[[5,1],[3]] => 9

[[5,1],[4]] => 10

[[5,1],[5]] => 11

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

[[4,2],[3]] => 9

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

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

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

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

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

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

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

[[2,0,0],[1,0],[1]] => 4

[[2,0,0],[2,0],[0]] => 4

[[2,0,0],[2,0],[1]] => 5

[[2,0,0],[2,0],[2]] => 6

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

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

[[1,1,0],[1,1],[1]] => 5

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

[[3,0,0],[1,0],[0]] => 4

[[3,0,0],[1,0],[1]] => 5

[[3,0,0],[2,0],[0]] => 5

[[3,0,0],[2,0],[1]] => 6

[[3,0,0],[2,0],[2]] => 7

[[3,0,0],[3,0],[0]] => 6

[[3,0,0],[3,0],[1]] => 7

[[3,0,0],[3,0],[2]] => 8

[[3,0,0],[3,0],[3]] => 9

[[2,1,0],[1,0],[0]] => 4

[[2,1,0],[1,0],[1]] => 5

[[2,1,0],[1,1],[1]] => 6

[[2,1,0],[2,0],[0]] => 5

[[2,1,0],[2,0],[1]] => 6

[[2,1,0],[2,0],[2]] => 7

[[2,1,0],[2,1],[1]] => 7

[[2,1,0],[2,1],[2]] => 8

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

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

[[4,0,0],[1,0],[0]] => 5

[[4,0,0],[1,0],[1]] => 6

[[4,0,0],[2,0],[0]] => 6

[[4,0,0],[2,0],[1]] => 7

[[4,0,0],[2,0],[2]] => 8

[[4,0,0],[3,0],[0]] => 7

[[4,0,0],[3,0],[1]] => 8

[[4,0,0],[3,0],[2]] => 9

[[4,0,0],[3,0],[3]] => 10

[[4,0,0],[4,0],[0]] => 8

[[4,0,0],[4,0],[1]] => 9

[[4,0,0],[4,0],[2]] => 10

[[4,0,0],[4,0],[3]] => 11

[[4,0,0],[4,0],[4]] => 12

[[3,1,0],[1,0],[0]] => 5

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Description

The sum of the entries of the Gelfand-Tsetlin pattern.

Code

def statistic(g):
    entry_list = []
    for row in g:
        for element in row:
            entry_list.append(element)
    entrysum = 0
    for entry in entry_list:
        entrysum = entrysum + entry
    return entrysum

Created

Jun 17, 2013 at 11:07 by Jessica Striker

Updated

May 28, 2019 at 14:14 by Martin Rubey