Identifier
Identifier
Values
[2] generating graphics... => 2
[1,1] generating graphics... => 1
[3] generating graphics... => 3
[2,1] generating graphics... => 2
[1,1,1] generating graphics... => 1
[4] generating graphics... => 5
[3,1] generating graphics... => 3
[2,2] generating graphics... => 4
[2,1,1] generating graphics... => 2
[1,1,1,1] generating graphics... => 1
[5] generating graphics... => 7
[4,1] generating graphics... => 5
[3,2] generating graphics... => 6
[3,1,1] generating graphics... => 3
[2,2,1] generating graphics... => 4
[2,1,1,1] generating graphics... => 2
[1,1,1,1,1] generating graphics... => 1
[6] generating graphics... => 11
[5,1] generating graphics... => 7
[4,2] generating graphics... => 10
[4,1,1] generating graphics... => 5
[3,3] generating graphics... => 9
[3,2,1] generating graphics... => 6
[3,1,1,1] generating graphics... => 3
[2,2,2] generating graphics... => 8
[2,2,1,1] generating graphics... => 4
[2,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1] generating graphics... => 1
[7] generating graphics... => 15
[6,1] generating graphics... => 11
[5,2] generating graphics... => 14
[5,1,1] generating graphics... => 7
[4,3] generating graphics... => 15
[4,2,1] generating graphics... => 10
[4,1,1,1] generating graphics... => 5
[3,3,1] generating graphics... => 9
[3,2,2] generating graphics... => 12
[3,2,1,1] generating graphics... => 6
[3,1,1,1,1] generating graphics... => 3
[2,2,2,1] generating graphics... => 8
[2,2,1,1,1] generating graphics... => 4
[2,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1] generating graphics... => 1
[8] generating graphics... => 22
[7,1] generating graphics... => 15
[6,2] generating graphics... => 22
[6,1,1] generating graphics... => 11
[5,3] generating graphics... => 21
[5,2,1] generating graphics... => 14
[5,1,1,1] generating graphics... => 7
[4,4] generating graphics... => 25
[4,3,1] generating graphics... => 15
[4,2,2] generating graphics... => 20
[4,2,1,1] generating graphics... => 10
[4,1,1,1,1] generating graphics... => 5
[3,3,2] generating graphics... => 18
[3,3,1,1] generating graphics... => 9
[3,2,2,1] generating graphics... => 12
[3,2,1,1,1] generating graphics... => 6
[3,1,1,1,1,1] generating graphics... => 3
[2,2,2,2] generating graphics... => 16
[2,2,2,1,1] generating graphics... => 8
[2,2,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1,1] generating graphics... => 1
[9] generating graphics... => 30
[8,1] generating graphics... => 22
[7,2] generating graphics... => 30
[7,1,1] generating graphics... => 15
[6,3] generating graphics... => 33
[6,2,1] generating graphics... => 22
[6,1,1,1] generating graphics... => 11
[5,4] generating graphics... => 35
[5,3,1] generating graphics... => 21
[5,2,2] generating graphics... => 28
[5,2,1,1] generating graphics... => 14
[5,1,1,1,1] generating graphics... => 7
[4,4,1] generating graphics... => 25
[4,3,2] generating graphics... => 30
[4,3,1,1] generating graphics... => 15
[4,2,2,1] generating graphics... => 20
[4,2,1,1,1] generating graphics... => 10
[4,1,1,1,1,1] generating graphics... => 5
[3,3,3] generating graphics... => 27
[3,3,2,1] generating graphics... => 18
[3,3,1,1,1] generating graphics... => 9
[3,2,2,2] generating graphics... => 24
[3,2,2,1,1] generating graphics... => 12
[3,2,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1] generating graphics... => 3
[2,2,2,2,1] generating graphics... => 16
[2,2,2,1,1,1] generating graphics... => 8
[2,2,1,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1,1,1] generating graphics... => 1
[10] generating graphics... => 42
[9,1] generating graphics... => 30
[8,2] generating graphics... => 44
[8,1,1] generating graphics... => 22
[7,3] generating graphics... => 45
[7,2,1] generating graphics... => 30
[7,1,1,1] generating graphics... => 15
[6,4] generating graphics... => 55
[6,3,1] generating graphics... => 33
[6,2,2] generating graphics... => 44
[6,2,1,1] generating graphics... => 22
[6,1,1,1,1] generating graphics... => 11
[5,5] generating graphics... => 49
[5,4,1] generating graphics... => 35
[5,3,2] generating graphics... => 42
[5,3,1,1] generating graphics... => 21
[5,2,2,1] generating graphics... => 28
[5,2,1,1,1] generating graphics... => 14
[5,1,1,1,1,1] generating graphics... => 7
[4,4,2] generating graphics... => 50
[4,4,1,1] generating graphics... => 25
[4,3,3] generating graphics... => 45
[4,3,2,1] generating graphics... => 30
[4,3,1,1,1] generating graphics... => 15
[4,2,2,2] generating graphics... => 40
[4,2,2,1,1] generating graphics... => 20
[4,2,1,1,1,1] generating graphics... => 10
[4,1,1,1,1,1,1] generating graphics... => 5
[3,3,3,1] generating graphics... => 27
[3,3,2,2] generating graphics... => 36
[3,3,2,1,1] generating graphics... => 18
[3,3,1,1,1,1] generating graphics... => 9
[3,2,2,2,1] generating graphics... => 24
[3,2,2,1,1,1] generating graphics... => 12
[3,2,1,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1,1] generating graphics... => 3
[2,2,2,2,2] generating graphics... => 32
[2,2,2,2,1,1] generating graphics... => 16
[2,2,2,1,1,1,1] generating graphics... => 8
[2,2,1,1,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[11] generating graphics... => 56
[10,1] generating graphics... => 42
[9,2] generating graphics... => 60
[9,1,1] generating graphics... => 30
[8,3] generating graphics... => 66
[8,2,1] generating graphics... => 44
[8,1,1,1] generating graphics... => 22
[7,4] generating graphics... => 75
[7,3,1] generating graphics... => 45
[7,2,2] generating graphics... => 60
[7,2,1,1] generating graphics... => 30
[7,1,1,1,1] generating graphics... => 15
[6,5] generating graphics... => 77
[6,4,1] generating graphics... => 55
[6,3,2] generating graphics... => 66
[6,3,1,1] generating graphics... => 33
[6,2,2,1] generating graphics... => 44
[6,2,1,1,1] generating graphics... => 22
[6,1,1,1,1,1] generating graphics... => 11
[5,5,1] generating graphics... => 49
[5,4,2] generating graphics... => 70
[5,4,1,1] generating graphics... => 35
[5,3,3] generating graphics... => 63
[5,3,2,1] generating graphics... => 42
[5,3,1,1,1] generating graphics... => 21
[5,2,2,2] generating graphics... => 56
[5,2,2,1,1] generating graphics... => 28
[5,2,1,1,1,1] generating graphics... => 14
[5,1,1,1,1,1,1] generating graphics... => 7
[4,4,3] generating graphics... => 75
[4,4,2,1] generating graphics... => 50
[4,4,1,1,1] generating graphics... => 25
[4,3,3,1] generating graphics... => 45
[4,3,2,2] generating graphics... => 60
[4,3,2,1,1] generating graphics... => 30
[4,3,1,1,1,1] generating graphics... => 15
[4,2,2,2,1] generating graphics... => 40
[4,2,2,1,1,1] generating graphics... => 20
[4,2,1,1,1,1,1] generating graphics... => 10
[4,1,1,1,1,1,1,1] generating graphics... => 5
[3,3,3,2] generating graphics... => 54
[3,3,3,1,1] generating graphics... => 27
[3,3,2,2,1] generating graphics... => 36
[3,3,2,1,1,1] generating graphics... => 18
[3,3,1,1,1,1,1] generating graphics... => 9
[3,2,2,2,2] generating graphics... => 48
[3,2,2,2,1,1] generating graphics... => 24
[3,2,2,1,1,1,1] generating graphics... => 12
[3,2,1,1,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1,1,1] generating graphics... => 3
[2,2,2,2,2,1] generating graphics... => 32
[2,2,2,2,1,1,1] generating graphics... => 16
[2,2,2,1,1,1,1,1] generating graphics... => 8
[2,2,1,1,1,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[12] generating graphics... => 77
[11,1] generating graphics... => 56
[10,2] generating graphics... => 84
[10,1,1] generating graphics... => 42
[9,3] generating graphics... => 90
[9,2,1] generating graphics... => 60
[9,1,1,1] generating graphics... => 30
[8,4] generating graphics... => 110
[8,3,1] generating graphics... => 66
[8,2,2] generating graphics... => 88
[8,2,1,1] generating graphics... => 44
[8,1,1,1,1] generating graphics... => 22
[7,5] generating graphics... => 105
[7,4,1] generating graphics... => 75
[7,3,2] generating graphics... => 90
[7,3,1,1] generating graphics... => 45
[7,2,2,1] generating graphics... => 60
[7,2,1,1,1] generating graphics... => 30
[7,1,1,1,1,1] generating graphics... => 15
[6,6] generating graphics... => 121
[6,5,1] generating graphics... => 77
[6,4,2] generating graphics... => 110
[6,4,1,1] generating graphics... => 55
[6,3,3] generating graphics... => 99
[6,3,2,1] generating graphics... => 66
[6,3,1,1,1] generating graphics... => 33
[6,2,2,2] generating graphics... => 88
[6,2,2,1,1] generating graphics... => 44
[6,2,1,1,1,1] generating graphics... => 22
[6,1,1,1,1,1,1] generating graphics... => 11
[5,5,2] generating graphics... => 98
[5,5,1,1] generating graphics... => 49
[5,4,3] generating graphics... => 105
[5,4,2,1] generating graphics... => 70
[5,4,1,1,1] generating graphics... => 35
[5,3,3,1] generating graphics... => 63
[5,3,2,2] generating graphics... => 84
[5,3,2,1,1] generating graphics... => 42
[5,3,1,1,1,1] generating graphics... => 21
[5,2,2,2,1] generating graphics... => 56
[5,2,2,1,1,1] generating graphics... => 28
[5,2,1,1,1,1,1] generating graphics... => 14
[5,1,1,1,1,1,1,1] generating graphics... => 7
[4,4,4] generating graphics... => 125
[4,4,3,1] generating graphics... => 75
[4,4,2,2] generating graphics... => 100
[4,4,2,1,1] generating graphics... => 50
[4,4,1,1,1,1] generating graphics... => 25
[4,3,3,2] generating graphics... => 90
[4,3,3,1,1] generating graphics... => 45
[4,3,2,2,1] generating graphics... => 60
[4,3,2,1,1,1] generating graphics... => 30
[4,3,1,1,1,1,1] generating graphics... => 15
[4,2,2,2,2] generating graphics... => 80
[4,2,2,2,1,1] generating graphics... => 40
[4,2,2,1,1,1,1] generating graphics... => 20
[4,2,1,1,1,1,1,1] generating graphics... => 10
[4,1,1,1,1,1,1,1,1] generating graphics... => 5
[3,3,3,3] generating graphics... => 81
[3,3,3,2,1] generating graphics... => 54
[3,3,3,1,1,1] generating graphics... => 27
[3,3,2,2,2] generating graphics... => 72
[3,3,2,2,1,1] generating graphics... => 36
[3,3,2,1,1,1,1] generating graphics... => 18
[3,3,1,1,1,1,1,1] generating graphics... => 9
[3,2,2,2,2,1] generating graphics... => 48
[3,2,2,2,1,1,1] generating graphics... => 24
[3,2,2,1,1,1,1,1] generating graphics... => 12
[3,2,1,1,1,1,1,1,1] generating graphics... => 6
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 3
[2,2,2,2,2,2] generating graphics... => 64
[2,2,2,2,2,1,1] generating graphics... => 32
[2,2,2,2,1,1,1,1] generating graphics... => 16
[2,2,2,1,1,1,1,1,1] generating graphics... => 8
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 4
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 2
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
click to show generating function       
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 $\lambda^{(i)} \vdash \lambda_i$.
Code
def statistic(L):
    return prod(Partitions(i).cardinality() for i in L)

Created
Aug 11, 2017 at 16:56 by Christian Stump
Updated
Aug 11, 2017 at 16:56 by Christian Stump