Your data matches 3 different statistics following compositions of up to 3 maps.
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Matching statistic: St001887
St001887: Finite Cartan types ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
['A',1]
=> 2
['A',2]
=> 6
['B',2]
=> 4
['G',2]
=> 6
['A',3]
=> 8
Description
The order of rowmotion on the root poset of a finite Cartan type.
Mp00148: Finite Cartan types to root posetPosets
St001782: Posets ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
['A',1]
=> ([],1)
=> 2
['A',2]
=> ([(0,2),(1,2)],3)
=> 6
['B',2]
=> ([(0,3),(1,3),(3,2)],4)
=> 4
['G',2]
=> ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
=> 6
['A',3]
=> ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
=> 8
Description
The order of rowmotion on the set of order ideals of a poset.
Matching statistic: St000668
Mp00148: Finite Cartan types to root posetPosets
Mp00306: Posets rowmotion cycle typeInteger partitions
St000668: Integer partitions ⟶ ℤResult quality: 75% values known / values provided: 80%distinct values known / distinct values provided: 75%
Values
['A',1]
=> ([],1)
=> [2]
=> 2
['A',2]
=> ([(0,2),(1,2)],3)
=> [3,2]
=> 6
['B',2]
=> ([(0,3),(1,3),(3,2)],4)
=> [4,2]
=> 4
['G',2]
=> ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
=> [6,2]
=> 6
['A',3]
=> ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
=> [8,4,2]
=> ? = 8
Description
The least common multiple of the parts of the partition.