- FindStat

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Identifier

St001406: Gelfand-Tsetlin patterns ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,0],[4]] => 2

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

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

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

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

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

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

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

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

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

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

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

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

[[6,0],[5]] => 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[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]] => 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[5,0,0],[2,0],[1]] => 3

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

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

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

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

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

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

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

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

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

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

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

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

[[6,0,0],[4,0],[1]] => 3

[[6,0,0],[4,0],[2]] => 3

[[6,0,0],[4,0],[3]] => 3

[[6,0,0],[4,0],[4]] => 3

[[6,0,0],[5,0],[0]] => 2

[[6,0,0],[5,0],[1]] => 3

[[6,0,0],[5,0],[2]] => 3

[[6,0,0],[5,0],[3]] => 3

[[6,0,0],[5,0],[4]] => 3

[[6,0,0],[5,0],[5]] => 3

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

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

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

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

[[6,0,0],[6,0],[4]] => 3

[[6,0,0],[6,0],[5]] => 3

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Description

The number of nonzero entries in a Gelfand Tsetlin pattern.

Code

def statistic(P):
    return sum(sum(1 for e in r if e != 0) for r in P)

Created

Jun 01, 2019 at 00:10 by Martin Rubey

Updated

Jun 01, 2019 at 00:10 by Martin Rubey