Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000949
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Mapping
St000949: Dyck paths ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,0]
 => 2
[1,0,1,0]
 => 3
[1,1,0,0]
 => 5
[1,0,1,0,1,0]
 => 4
[1,0,1,1,0,0]
 => 7
[1,1,0,0,1,0]
 => 7
[1,1,0,1,0,0]
 => 9
[1,1,1,0,0,0]
 => 14
[1,0,1,0,1,0,1,0]
 => 5
[1,0,1,0,1,1,0,0]
 => 9
[1,0,1,1,0,0,1,0]
 => 10
[1,0,1,1,0,1,0,0]
 => 11
[1,0,1,1,1,0,0,0]
 => 19
[1,1,0,0,1,0,1,0]
 => 9
[1,1,0,0,1,1,0,0]
 => 16
[1,1,0,1,0,0,1,0]
 => 11
[1,1,0,1,0,1,0,0]
 => 15
[1,1,0,1,1,0,0,0]
 => 23
[1,1,1,0,0,0,1,0]
 => 19
[1,1,1,0,0,1,0,0]
 => 23
[1,1,1,0,1,0,0,0]
 => 28
[1,1,1,1,0,0,0,0]
 => 42
[1,0,1,0,1,0,1,0,1,0]
 => 6
[1,0,1,0,1,0,1,1,0,0]
 => 11
[1,0,1,0,1,1,0,0,1,0]
 => 13
[1,0,1,0,1,1,0,1,0,0]
 => 13
[1,0,1,0,1,1,1,0,0,0]
 => 24
[1,0,1,1,0,0,1,0,1,0]
 => 13
[1,0,1,1,0,0,1,1,0,0]
 => 23
[1,0,1,1,0,1,0,0,1,0]
 => 13
[1,0,1,1,0,1,0,1,0,0]
 => 18
[1,0,1,1,0,1,1,0,0,0]
 => 27
[1,0,1,1,1,0,0,0,1,0]
 => 26
[1,0,1,1,1,0,0,1,0,0]
 => 32
[1,0,1,1,1,0,1,0,0,0]
 => 33
[1,0,1,1,1,1,0,0,0,0]
 => 56
[1,1,0,0,1,0,1,0,1,0]
 => 11
[1,1,0,0,1,0,1,1,0,0]
 => 20
[1,1,0,0,1,1,0,0,1,0]
 => 23
[1,1,0,0,1,1,0,1,0,0]
 => 24
[1,1,0,0,1,1,1,0,0,0]
 => 43
[1,1,0,1,0,0,1,0,1,0]
 => 13
[1,1,0,1,0,0,1,1,0,0]
 => 24
[1,1,0,1,0,1,0,0,1,0]
 => 18
[1,1,0,1,0,1,0,1,0,0]
 => 22
[1,1,0,1,0,1,1,0,0,0]
 => 37
[1,1,0,1,1,0,0,0,1,0]
 => 32
[1,1,0,1,1,0,0,1,0,0]
 => 32
[1,1,0,1,1,0,1,0,0,0]
 => 43
[1,1,0,1,1,1,0,0,0,0]
 => 66
Description
Gives the number of generalised tilting modules of the corresponding LNakayama algebra.