Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001400
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Mapping
St001400: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1]
 => 2
[2]
 => 3
[1,1]
 => 3
[3]
 => 4
[2,1]
 => 6
[1,1,1]
 => 4
[4]
 => 5
[3,1]
 => 9
[2,2]
 => 6
[2,1,1]
 => 9
[1,1,1,1]
 => 5
[5]
 => 6
[4,1]
 => 12
[3,2]
 => 12
[3,1,1]
 => 14
[2,2,1]
 => 12
[2,1,1,1]
 => 12
[1,1,1,1,1]
 => 6
[6]
 => 7
[5,1]
 => 15
[4,2]
 => 18
[4,1,1]
 => 19
[3,3]
 => 10
[3,2,1]
 => 26
[3,1,1,1]
 => 19
[2,2,2]
 => 10
[2,2,1,1]
 => 18
[2,1,1,1,1]
 => 15
[1,1,1,1,1,1]
 => 7
[7]
 => 8
[6,1]
 => 18
[5,2]
 => 24
[5,1,1]
 => 24
[4,3]
 => 20
[4,2,1]
 => 40
[4,1,1,1]
 => 26
[3,3,1]
 => 24
[3,2,2]
 => 24
[3,2,1,1]
 => 40
[3,1,1,1,1]
 => 24
[2,2,2,1]
 => 20
[2,2,1,1,1]
 => 24
[2,1,1,1,1,1]
 => 18
[1,1,1,1,1,1,1]
 => 8
[8]
 => 9
[7,1]
 => 21
[6,2]
 => 30
[6,1,1]
 => 29
[5,3]
 => 30
[5,2,1]
 => 54
Description
The total number of Littlewood-Richardson tableaux of given shape. This is the multiplicity of the Schur function $s_\lambda$ in $\sum_{\mu, \nu} s_\mu s_\nu$, where the sum is over all partitions $\mu$ and $\nu$.