Your data matches 1 statistic following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St001128
Mp00148: Finite Cartan types to root posetPosets
Mp00306: Posets rowmotion cycle typeInteger partitions
St001128: Integer partitions ⟶ ℤResult quality: 100% values known / values provided: 100%distinct values known / distinct values provided: 100%
Values
['A',1]
=> ([],1)
=> [2]
=> 1
['A',2]
=> ([(0,2),(1,2)],3)
=> [3,2]
=> 6
['B',2]
=> ([(0,3),(1,3),(3,2)],4)
=> [4,2]
=> 2
['G',2]
=> ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
=> [6,2]
=> 3
Description
The exponens consonantiae of a partition. This is the quotient of the least common multiple and the greatest common divior of the parts of the partiton. See [1, Caput sextum, §19-§22].