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Your data matches 2 different statistics following compositions of up to 3 maps.
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Matching statistic: St000231
St000231: Set partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
{{1}}
=> 1
{{1,2}}
=> 2
{{1},{2}}
=> 3
{{1,2,3}}
=> 3
{{1,2},{3}}
=> 5
{{1,3},{2}}
=> 5
{{1},{2,3}}
=> 4
{{1},{2},{3}}
=> 6
{{1,2,3,4}}
=> 4
{{1,2,3},{4}}
=> 7
{{1,2,4},{3}}
=> 7
{{1,2},{3,4}}
=> 6
{{1,2},{3},{4}}
=> 9
{{1,3,4},{2}}
=> 6
{{1,3},{2,4}}
=> 7
{{1,3},{2},{4}}
=> 9
{{1,4},{2,3}}
=> 7
{{1},{2,3,4}}
=> 5
{{1},{2,3},{4}}
=> 8
{{1,4},{2},{3}}
=> 9
{{1},{2,4},{3}}
=> 8
{{1},{2},{3,4}}
=> 7
{{1},{2},{3},{4}}
=> 10
{{1,2,3,4,5}}
=> 5
{{1,2,3,4},{5}}
=> 9
{{1,2,3,5},{4}}
=> 9
{{1,2,3},{4,5}}
=> 8
{{1,2,3},{4},{5}}
=> 12
{{1,2,4,5},{3}}
=> 8
{{1,2,4},{3,5}}
=> 9
{{1,2,4},{3},{5}}
=> 12
{{1,2,5},{3,4}}
=> 9
{{1,2},{3,4,5}}
=> 7
{{1,2},{3,4},{5}}
=> 11
{{1,2,5},{3},{4}}
=> 12
{{1,2},{3,5},{4}}
=> 11
{{1,2},{3},{4,5}}
=> 10
{{1,2},{3},{4},{5}}
=> 14
{{1,3,4,5},{2}}
=> 7
{{1,3,4},{2,5}}
=> 9
{{1,3,4},{2},{5}}
=> 11
{{1,3,5},{2,4}}
=> 9
{{1,3},{2,4,5}}
=> 8
{{1,3},{2,4},{5}}
=> 12
{{1,3,5},{2},{4}}
=> 11
{{1,3},{2,5},{4}}
=> 12
{{1,3},{2},{4,5}}
=> 10
{{1,3},{2},{4},{5}}
=> 14
{{1,4,5},{2,3}}
=> 8
{{1,4},{2,3,5}}
=> 9
Description
Sum of the maximal elements of the blocks of a set partition.
Matching statistic: St001406
Mp00258: Set partitions —Standard tableau associated to a set partition⟶ Standard tableaux
Mp00082: Standard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
St001406: Gelfand-Tsetlin patterns ⟶ ℤResult quality: 8% ●values known / values provided: 8%●distinct values known / distinct values provided: 43%
Mp00082: Standard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
St001406: Gelfand-Tsetlin patterns ⟶ ℤResult quality: 8% ●values known / values provided: 8%●distinct values known / distinct values provided: 43%
Values
{{1}}
=> [[1]]
=> [[1]]
=> ? = 1
{{1,2}}
=> [[1,2]]
=> [[2,0],[1]]
=> 2
{{1},{2}}
=> [[1],[2]]
=> [[1,1],[1]]
=> 3
{{1,2,3}}
=> [[1,2,3]]
=> [[3,0,0],[2,0],[1]]
=> 3
{{1,2},{3}}
=> [[1,2],[3]]
=> [[2,1,0],[2,0],[1]]
=> 4
{{1,3},{2}}
=> [[1,3],[2]]
=> [[2,1,0],[1,1],[1]]
=> 5
{{1},{2,3}}
=> [[1,3],[2]]
=> [[2,1,0],[1,1],[1]]
=> 5
{{1},{2},{3}}
=> [[1],[2],[3]]
=> [[1,1,1],[1,1],[1]]
=> 6
{{1,2,3,4}}
=> [[1,2,3,4]]
=> [[4,0,0,0],[3,0,0],[2,0],[1]]
=> 4
{{1,2,3},{4}}
=> [[1,2,3],[4]]
=> [[3,1,0,0],[3,0,0],[2,0],[1]]
=> 5
{{1,2,4},{3}}
=> [[1,2,4],[3]]
=> [[3,1,0,0],[2,1,0],[2,0],[1]]
=> 6
{{1,2},{3,4}}
=> [[1,2],[3,4]]
=> [[2,2,0,0],[2,1,0],[2,0],[1]]
=> 6
{{1,2},{3},{4}}
=> [[1,2],[3],[4]]
=> [[2,1,1,0],[2,1,0],[2,0],[1]]
=> 7
{{1,3,4},{2}}
=> [[1,3,4],[2]]
=> [[3,1,0,0],[2,1,0],[1,1],[1]]
=> 7
{{1,3},{2,4}}
=> [[1,3],[2,4]]
=> [[2,2,0,0],[2,1,0],[1,1],[1]]
=> 7
{{1,3},{2},{4}}
=> [[1,3],[2],[4]]
=> [[2,1,1,0],[2,1,0],[1,1],[1]]
=> 8
{{1,4},{2,3}}
=> [[1,3],[2,4]]
=> [[2,2,0,0],[2,1,0],[1,1],[1]]
=> 7
{{1},{2,3,4}}
=> [[1,3,4],[2]]
=> [[3,1,0,0],[2,1,0],[1,1],[1]]
=> 7
{{1},{2,3},{4}}
=> [[1,3],[2],[4]]
=> [[2,1,1,0],[2,1,0],[1,1],[1]]
=> 8
{{1,4},{2},{3}}
=> [[1,4],[2],[3]]
=> [[2,1,1,0],[1,1,1],[1,1],[1]]
=> 9
{{1},{2,4},{3}}
=> [[1,4],[2],[3]]
=> [[2,1,1,0],[1,1,1],[1,1],[1]]
=> 9
{{1},{2},{3,4}}
=> [[1,4],[2],[3]]
=> [[2,1,1,0],[1,1,1],[1,1],[1]]
=> 9
{{1},{2},{3},{4}}
=> [[1],[2],[3],[4]]
=> [[1,1,1,1],[1,1,1],[1,1],[1]]
=> 10
{{1,2,3,4,5}}
=> [[1,2,3,4,5]]
=> [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,3,4},{5}}
=> [[1,2,3,4],[5]]
=> [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,3,5},{4}}
=> [[1,2,3,5],[4]]
=> [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,3},{4,5}}
=> [[1,2,3],[4,5]]
=> [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,3},{4},{5}}
=> [[1,2,3],[4],[5]]
=> [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,4,5},{3}}
=> [[1,2,4,5],[3]]
=> [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,4},{3,5}}
=> [[1,2,4],[3,5]]
=> [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,4},{3},{5}}
=> [[1,2,4],[3],[5]]
=> [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,5},{3,4}}
=> [[1,2,5],[3,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2},{3,4,5}}
=> [[1,2,5],[3,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2},{3,4},{5}}
=> [[1,2],[3,4],[5]]
=> [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2,5},{3},{4}}
=> [[1,2,5],[3],[4]]
=> [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2},{3,5},{4}}
=> [[1,2],[3,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2},{3},{4,5}}
=> [[1,2],[3,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,2},{3},{4},{5}}
=> [[1,2],[3],[4],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3,4,5},{2}}
=> [[1,3,4,5],[2]]
=> [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3,4},{2,5}}
=> [[1,3,4],[2,5]]
=> [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3,4},{2},{5}}
=> [[1,3,4],[2],[5]]
=> [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3,5},{2,4}}
=> [[1,3,5],[2,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3},{2,4,5}}
=> [[1,3,5],[2,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3},{2,4},{5}}
=> [[1,3],[2,4],[5]]
=> [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3,5},{2},{4}}
=> [[1,3,5],[2],[4]]
=> [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3},{2,5},{4}}
=> [[1,3],[2,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3},{2},{4,5}}
=> [[1,3],[2,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,3},{2},{4},{5}}
=> [[1,3],[2],[4],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4,5},{2,3}}
=> [[1,3,5],[2,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4},{2,3,5}}
=> [[1,3,5],[2,4]]
=> [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4},{2,3},{5}}
=> [[1,3],[2,4],[5]]
=> [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,5},{2,3,4}}
=> [[1,3,4],[2,5]]
=> [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,3,4,5}}
=> [[1,3,4,5],[2]]
=> [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,3,4},{5}}
=> [[1,3,4],[2],[5]]
=> [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,5},{2,3},{4}}
=> [[1,3],[2,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,3,5},{4}}
=> [[1,3,5],[2],[4]]
=> [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,3},{4,5}}
=> [[1,3],[2,5],[4]]
=> [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,3},{4},{5}}
=> [[1,3],[2],[4],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4,5},{2},{3}}
=> [[1,4,5],[2],[3]]
=> [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4},{2,5},{3}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4},{2},{3,5}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,4},{2},{3},{5}}
=> [[1,4],[2],[3],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,5},{2,4},{3}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,4,5},{3}}
=> [[1,4,5],[2],[3]]
=> [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,4},{3,5}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,4},{3},{5}}
=> [[1,4],[2],[3],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,5},{2},{3,4}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,5},{3,4}}
=> [[1,4],[2,5],[3]]
=> [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2},{3,4,5}}
=> [[1,4,5],[2],[3]]
=> [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2},{3,4},{5}}
=> [[1,4],[2],[3],[5]]
=> [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1,5},{2},{3},{4}}
=> [[1,5],[2],[3],[4]]
=> [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
{{1},{2,5},{3},{4}}
=> [[1,5],[2],[3],[4]]
=> [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
=> ? ∊ {5,6,7,7,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,13,13,13,14,14,14,14,15}
Description
The number of nonzero entries in a Gelfand Tsetlin pattern.
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