Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000077
St000077: Gelfand-Tsetlin patterns ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
[[1,0],[0]]
=> 0
[[1,0],[1]]
=> 0
[[2,0],[0]]
=> 0
[[2,0],[1]]
=> 0
[[2,0],[2]]
=> 0
[[1,1],[1]]
=> 1
[[1,0,0],[0,0],[0]]
=> 2
[[1,0,0],[1,0],[0]]
=> 1
[[1,0,0],[1,0],[1]]
=> 1
[[3,0],[0]]
=> 0
[[3,0],[1]]
=> 0
[[3,0],[2]]
=> 0
[[3,0],[3]]
=> 0
[[2,1],[1]]
=> 0
[[2,1],[2]]
=> 0
[[2,0,0],[0,0],[0]]
=> 2
[[2,0,0],[1,0],[0]]
=> 1
[[2,0,0],[1,0],[1]]
=> 1
[[2,0,0],[2,0],[0]]
=> 1
[[2,0,0],[2,0],[1]]
=> 1
[[2,0,0],[2,0],[2]]
=> 1
[[1,1,0],[1,0],[0]]
=> 1
[[1,1,0],[1,0],[1]]
=> 1
[[1,1,0],[1,1],[1]]
=> 2
[[1,0,0,0],[0,0,0],[0,0],[0]]
=> 5
[[1,0,0,0],[1,0,0],[0,0],[0]]
=> 4
[[1,0,0,0],[1,0,0],[1,0],[0]]
=> 3
[[1,0,0,0],[1,0,0],[1,0],[1]]
=> 3
[[3,1],[1]]
=> 0
[[3,1],[2]]
=> 0
[[3,1],[3]]
=> 0
[[2,2],[2]]
=> 1
[[3,0,0],[0,0],[0]]
=> 2
[[3,0,0],[1,0],[0]]
=> 1
[[3,0,0],[1,0],[1]]
=> 1
[[3,0,0],[2,0],[0]]
=> 1
[[3,0,0],[2,0],[1]]
=> 1
[[3,0,0],[2,0],[2]]
=> 1
[[3,0,0],[3,0],[0]]
=> 1
[[3,0,0],[3,0],[1]]
=> 1
[[3,0,0],[3,0],[2]]
=> 1
[[3,0,0],[3,0],[3]]
=> 1
[[2,1,0],[1,0],[0]]
=> 0
[[2,1,0],[1,0],[1]]
=> 0
[[2,1,0],[1,1],[1]]
=> 1
[[2,1,0],[2,0],[0]]
=> 0
[[2,1,0],[2,0],[1]]
=> 0
[[2,1,0],[2,0],[2]]
=> 0
[[2,1,0],[2,1],[1]]
=> 0
[[2,1,0],[2,1],[2]]
=> 0
Description
The number of boxed and circled entries. An entry $a_{i,j}$ is boxed and circled if $a_{i-1,j-i} = a_{i,j} = a_{i-1,j}$.