Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000285
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Mapping
St000285: Integer compositions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,1] => 2
[2] => 1
[1,1,1] => 5
[1,2] => 5
[2,1] => 5
[3] => 1
[1,1,1,1] => 14
[1,1,2] => 21
[1,2,1] => 31
[1,3] => 9
[2,1,1] => 21
[2,2] => 19
[3,1] => 9
[4] => 1
[1,1,1,1,1] => 42
[1,1,1,2] => 84
[1,1,2,1] => 154
[1,1,3] => 56
[1,2,1,1] => 154
[1,2,2] => 161
[1,3,1] => 91
[1,4] => 14
[2,1,1,1] => 84
[2,1,2] => 126
[2,2,1] => 161
[2,3] => 49
[3,1,1] => 56
[3,2] => 49
[4,1] => 14
[5] => 1
[1,1,1,1,1,1] => 132
[1,1,1,1,2] => 330
[1,1,1,2,1] => 708
[1,1,1,3] => 300
[1,1,2,1,1] => 876
[1,1,2,2] => 1014
[1,1,3,1] => 636
[1,1,4] => 120
[1,2,1,1,1] => 708
[1,2,1,2] => 1182
[1,2,2,1] => 1588
[1,2,3] => 540
[1,3,1,1] => 636
[1,3,2] => 610
[1,4,1] => 204
[1,5] => 20
[2,1,1,1,1] => 330
[2,1,1,2] => 678
[2,1,2,1] => 1182
[2,1,3] => 456
Description
The size of the preimage of the map 'to inverse des composition' from Parking functions to Integer compositions.