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Matching statistic: St001360
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Mapping
St001360: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 1
[2]
 => 2
[1,1]
 => 2
[3]
 => 3
[2,1]
 => 5
[1,1,1]
 => 3
[4]
 => 4
[3,1]
 => 8
[2,2]
 => 6
[2,1,1]
 => 8
[1,1,1,1]
 => 4
[5]
 => 5
[4,1]
 => 11
[3,2]
 => 11
[3,1,1]
 => 13
[2,2,1]
 => 11
[2,1,1,1]
 => 11
[1,1,1,1,1]
 => 5
[6]
 => 6
[5,1]
 => 14
[4,2]
 => 16
[4,1,1]
 => 18
[3,3]
 => 12
[3,2,1]
 => 21
[3,1,1,1]
 => 18
[2,2,2]
 => 12
[2,2,1,1]
 => 16
[2,1,1,1,1]
 => 14
[1,1,1,1,1,1]
 => 6
[7]
 => 7
[6,1]
 => 17
[5,2]
 => 21
[5,1,1]
 => 23
[4,3]
 => 19
[4,2,1]
 => 31
[4,1,1,1]
 => 25
[3,3,1]
 => 24
[3,2,2]
 => 24
[3,2,1,1]
 => 31
[3,1,1,1,1]
 => 23
[2,2,2,1]
 => 19
[2,2,1,1,1]
 => 21
[2,1,1,1,1,1]
 => 17
[1,1,1,1,1,1,1]
 => 7
[8]
 => 8
[7,1]
 => 20
[6,2]
 => 26
[6,1,1]
 => 28
[5,3]
 => 26
[5,2,1]
 => 41
Description
The number of covering relations in Young's lattice below a partition.