Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001833
Mapping
St001833: Lattices ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 1
([(0,1)],2)
 => 3
([(0,2),(2,1)],3)
 => 6
([(0,1),(0,2),(1,3),(2,3)],4)
 => 8
([(0,3),(2,1),(3,2)],4)
 => 10
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => 11
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)
 => 12
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => 12
([(0,4),(2,3),(3,1),(4,2)],5)
 => 15
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => 12
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => 14
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => 15
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => 15
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => 16
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)
 => 17
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)
 => 16
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)
 => 17
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)
 => 17
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => 15
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)
 => 17
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => 16
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => 16
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => 15
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
 => 21
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)
 => 17
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => 17
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => 18
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => 18
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => 19
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => 20
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => 21
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => 20
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => 21
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => 20
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => 21
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => 19
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)
 => 21
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => 22
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => 20
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => 20
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => 20
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => 22
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => 18
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => 20
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => 19
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => 19
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => 22
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => 20
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => 19
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => 18
Description
The number of linear intervals in a lattice.