Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001636
Mapping
St001636: Posets ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 1
([],2)
 => 2
([(0,1)],2)
 => 2
([],3)
 => 3
([(1,2)],3)
 => 3
([(0,1),(0,2)],3)
 => 3
([(0,2),(2,1)],3)
 => 3
([(0,2),(1,2)],3)
 => 3
([],4)
 => 4
([(2,3)],4)
 => 4
([(1,2),(1,3)],4)
 => 4
([(0,1),(0,2),(0,3)],4)
 => 4
([(0,2),(0,3),(3,1)],4)
 => 4
([(0,1),(0,2),(1,3),(2,3)],4)
 => 3
([(1,2),(2,3)],4)
 => 4
([(0,3),(3,1),(3,2)],4)
 => 4
([(1,3),(2,3)],4)
 => 4
([(0,3),(1,3),(3,2)],4)
 => 4
([(0,3),(1,3),(2,3)],4)
 => 4
([(0,3),(1,2)],4)
 => 4
([(0,3),(1,2),(1,3)],4)
 => 4
([(0,2),(0,3),(1,2),(1,3)],4)
 => 4
([(0,3),(2,1),(3,2)],4)
 => 4
([(0,3),(1,2),(2,3)],4)
 => 4
([],5)
 => 5
([(3,4)],5)
 => 5
([(2,3),(2,4)],5)
 => 5
([(1,2),(1,3),(1,4)],5)
 => 5
([(0,1),(0,2),(0,3),(0,4)],5)
 => 5
([(0,2),(0,3),(0,4),(4,1)],5)
 => 5
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
 => 3
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => 1
([(1,3),(1,4),(4,2)],5)
 => 5
([(0,3),(0,4),(4,1),(4,2)],5)
 => 5
([(1,2),(1,3),(2,4),(3,4)],5)
 => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => 4
([(0,3),(0,4),(3,2),(4,1)],5)
 => 5
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
 => 4
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 4
([(2,3),(3,4)],5)
 => 5
([(1,4),(4,2),(4,3)],5)
 => 5
([(0,4),(4,1),(4,2),(4,3)],5)
 => 5
([(2,4),(3,4)],5)
 => 5
([(1,4),(2,4),(4,3)],5)
 => 5
([(0,4),(1,4),(4,2),(4,3)],5)
 => 5
([(1,4),(2,4),(3,4)],5)
 => 5
([(0,4),(1,4),(2,4),(4,3)],5)
 => 5
([(0,4),(1,4),(2,4),(3,4)],5)
 => 5
([(0,4),(1,4),(2,3)],5)
 => 5
([(0,4),(1,3),(2,3),(2,4)],5)
 => 5
Description
The number of indecomposable injective modules with projective dimension at most one in the incidence algebra of the poset.