Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000933
Mapping
St000933: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2]
 => 2
[1,1]
 => 1
[3]
 => 3
[2,1]
 => 2
[1,1,1]
 => 1
[4]
 => 5
[3,1]
 => 3
[2,2]
 => 4
[2,1,1]
 => 2
[1,1,1,1]
 => 1
[5]
 => 7
[4,1]
 => 5
[3,2]
 => 6
[3,1,1]
 => 3
[2,2,1]
 => 4
[2,1,1,1]
 => 2
[1,1,1,1,1]
 => 1
[6]
 => 11
[5,1]
 => 7
[4,2]
 => 10
[4,1,1]
 => 5
[3,3]
 => 9
[3,2,1]
 => 6
[3,1,1,1]
 => 3
[2,2,2]
 => 8
[2,2,1,1]
 => 4
[2,1,1,1,1]
 => 2
[1,1,1,1,1,1]
 => 1
[7]
 => 15
[6,1]
 => 11
[5,2]
 => 14
[5,1,1]
 => 7
[4,3]
 => 15
[4,2,1]
 => 10
[4,1,1,1]
 => 5
[3,3,1]
 => 9
[3,2,2]
 => 12
[3,2,1,1]
 => 6
[3,1,1,1,1]
 => 3
[2,2,2,1]
 => 8
[2,2,1,1,1]
 => 4
[2,1,1,1,1,1]
 => 2
[1,1,1,1,1,1,1]
 => 1
[8]
 => 22
[7,1]
 => 15
[6,2]
 => 22
[6,1,1]
 => 11
[5,3]
 => 21
[5,2,1]
 => 14
[5,1,1,1]
 => 7
Description
The number of multipartitions of sizes given by an integer partition. This is, for $\lambda = (\lambda_1,\ldots,\lambda_n)$, this is the number of $n$-tuples $(\lambda^{(1)},\ldots,\lambda^{(n)})$ of partitions $\lambda^{(i)}$ such that $\lambda^{(i)} \vdash \lambda_i$.