Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001815
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Mapping
St001815: Posets ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 1
([],2)
 => 3
([(0,1)],2)
 => 2
([],3)
 => 13
([(1,2)],3)
 => 8
([(0,1),(0,2)],3)
 => 6
([(0,2),(2,1)],3)
 => 4
([(0,2),(1,2)],3)
 => 6
([],4)
 => 75
([(2,3)],4)
 => 44
([(1,2),(1,3)],4)
 => 32
([(0,1),(0,2),(0,3)],4)
 => 26
([(0,2),(0,3),(3,1)],4)
 => 16
([(0,1),(0,2),(1,3),(2,3)],4)
 => 12
([(1,2),(2,3)],4)
 => 20
([(0,3),(3,1),(3,2)],4)
 => 12
([(1,3),(2,3)],4)
 => 32
([(0,3),(1,3),(3,2)],4)
 => 12
([(0,3),(1,3),(2,3)],4)
 => 26
([(0,3),(1,2)],4)
 => 26
([(0,3),(1,2),(1,3)],4)
 => 22
([(0,2),(0,3),(1,2),(1,3)],4)
 => 18
([(0,3),(2,1),(3,2)],4)
 => 8
([(0,3),(1,2),(2,3)],4)
 => 16
([],5)
 => 541
([(3,4)],5)
 => 308
([(2,3),(2,4)],5)
 => 220
([(1,2),(1,3),(1,4)],5)
 => 176
([(0,1),(0,2),(0,3),(0,4)],5)
 => 150
([(0,2),(0,3),(0,4),(4,1)],5)
 => 88
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)
 => 64
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => 52
([(1,3),(1,4),(4,2)],5)
 => 104
([(0,3),(0,4),(4,1),(4,2)],5)
 => 64
([(1,2),(1,3),(2,4),(3,4)],5)
 => 76
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => 24
([(0,3),(0,4),(3,2),(4,1)],5)
 => 52
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
 => 44
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 36
([(2,3),(3,4)],5)
 => 132
([(1,4),(4,2),(4,3)],5)
 => 76
([(0,4),(4,1),(4,2),(4,3)],5)
 => 52
([(2,4),(3,4)],5)
 => 220
([(1,4),(2,4),(4,3)],5)
 => 76
([(0,4),(1,4),(4,2),(4,3)],5)
 => 36
([(1,4),(2,4),(3,4)],5)
 => 176
([(0,4),(1,4),(2,4),(4,3)],5)
 => 52
([(0,4),(1,4),(2,4),(3,4)],5)
 => 150
([(0,4),(1,4),(2,3)],5)
 => 126
([(0,4),(1,3),(2,3),(2,4)],5)
 => 102
Description
The number of order preserving surjections from a poset to a total order.