Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000176
Mapping
St000176: Gelfand-Tsetlin patterns ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[1,0],[0]]
 => 2
[[1,0],[1]]
 => 2
[[2,0],[0]]
 => 2
[[2,0],[1]]
 => 3
[[2,0],[2]]
 => 2
[[1,1],[1]]
 => 1
[[1,0,0],[0,0],[0]]
 => 2
[[1,0,0],[1,0],[0]]
 => 2
[[1,0,0],[1,0],[1]]
 => 2
[[3,0],[0]]
 => 2
[[3,0],[1]]
 => 3
[[3,0],[2]]
 => 3
[[3,0],[3]]
 => 2
[[2,1],[1]]
 => 2
[[2,1],[2]]
 => 2
[[2,0,0],[0,0],[0]]
 => 2
[[2,0,0],[1,0],[0]]
 => 3
[[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]]
 => 2
[[1,1,0],[1,0],[0]]
 => 2
[[1,1,0],[1,0],[1]]
 => 2
[[1,1,0],[1,1],[1]]
 => 2
[[1,0,0,0],[0,0,0],[0,0],[0]]
 => 2
[[1,0,0,0],[1,0,0],[0,0],[0]]
 => 2
[[1,0,0,0],[1,0,0],[1,0],[0]]
 => 2
[[1,0,0,0],[1,0,0],[1,0],[1]]
 => 2
[[4,0],[0]]
 => 2
[[4,0],[1]]
 => 3
[[4,0],[2]]
 => 3
[[4,0],[3]]
 => 3
[[4,0],[4]]
 => 2
[[3,1],[1]]
 => 2
[[3,1],[2]]
 => 3
[[3,1],[3]]
 => 2
[[2,2],[2]]
 => 1
[[3,0,0],[0,0],[0]]
 => 2
[[3,0,0],[1,0],[0]]
 => 3
[[3,0,0],[1,0],[1]]
 => 3
[[3,0,0],[2,0],[0]]
 => 3
[[3,0,0],[2,0],[1]]
 => 4
[[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]]
 => 2
[[2,1,0],[1,0],[0]]
 => 3
[[2,1,0],[1,0],[1]]
 => 3
[[2,1,0],[1,1],[1]]
 => 3
Description
The total number of tiles in the Gelfand-Tsetlin pattern. The tiling of a Gelfand-Tsetlin pattern is the finest partition of the entries in the pattern, such that adjacent (NW,NE,SW,SE) entries that are equal belong to the same part. These parts are called tiles, and each entry in a pattern belongs to exactly one tile.