Identifier
Identifier
Values
[2] generating graphics... => 4
[1,1] generating graphics... => 1
[3] generating graphics... => 9
[2,1] generating graphics... => 4
[1,1,1] generating graphics... => 1
[4] generating graphics... => 16
[3,1] generating graphics... => 9
[2,2] generating graphics... => 16
[2,1,1] generating graphics... => 4
[1,1,1,1] generating graphics... => 1
[5] generating graphics... => 25
[4,1] generating graphics... => 16
[3,2] generating graphics... => 36
[3,1,1] generating graphics... => 9
[2,2,1] generating graphics... => 16
[2,1,1,1] generating graphics... => 4
[1,1,1,1,1] generating graphics... => 1
[6] generating graphics... => 36
[5,1] generating graphics... => 25
[4,2] generating graphics... => 64
[4,1,1] generating graphics... => 16
[3,3] generating graphics... => 81
[3,2,1] generating graphics... => 36
[3,1,1,1] generating graphics... => 9
[2,2,2] generating graphics... => 64
[2,2,1,1] generating graphics... => 16
[2,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1] generating graphics... => 1
[7] generating graphics... => 49
[6,1] generating graphics... => 36
[5,2] generating graphics... => 100
[5,1,1] generating graphics... => 25
[4,3] generating graphics... => 144
[4,2,1] generating graphics... => 64
[4,1,1,1] generating graphics... => 16
[3,3,1] generating graphics... => 81
[3,2,2] generating graphics... => 144
[3,2,1,1] generating graphics... => 36
[3,1,1,1,1] generating graphics... => 9
[2,2,2,1] generating graphics... => 64
[2,2,1,1,1] generating graphics... => 16
[2,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1] generating graphics... => 1
[8] generating graphics... => 64
[7,1] generating graphics... => 49
[6,2] generating graphics... => 144
[6,1,1] generating graphics... => 36
[5,3] generating graphics... => 225
[5,2,1] generating graphics... => 100
[5,1,1,1] generating graphics... => 25
[4,4] generating graphics... => 256
[4,3,1] generating graphics... => 144
[4,2,2] generating graphics... => 256
[4,2,1,1] generating graphics... => 64
[4,1,1,1,1] generating graphics... => 16
[3,3,2] generating graphics... => 324
[3,3,1,1] generating graphics... => 81
[3,2,2,1] generating graphics... => 144
[3,2,1,1,1] generating graphics... => 36
[3,1,1,1,1,1] generating graphics... => 9
[2,2,2,2] generating graphics... => 256
[2,2,2,1,1] generating graphics... => 64
[2,2,1,1,1,1] generating graphics... => 16
[2,1,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1,1] generating graphics... => 1
[9] generating graphics... => 81
[8,1] generating graphics... => 64
[7,2] generating graphics... => 196
[7,1,1] generating graphics... => 49
[6,3] generating graphics... => 324
[6,2,1] generating graphics... => 144
[6,1,1,1] generating graphics... => 36
[5,4] generating graphics... => 400
[5,3,1] generating graphics... => 225
[5,2,2] generating graphics... => 400
[5,2,1,1] generating graphics... => 100
[5,1,1,1,1] generating graphics... => 25
[4,4,1] generating graphics... => 256
[4,3,2] generating graphics... => 576
[4,3,1,1] generating graphics... => 144
[4,2,2,1] generating graphics... => 256
[4,2,1,1,1] generating graphics... => 64
[4,1,1,1,1,1] generating graphics... => 16
[3,3,3] generating graphics... => 729
[3,3,2,1] generating graphics... => 324
[3,3,1,1,1] generating graphics... => 81
[3,2,2,2] generating graphics... => 576
[3,2,2,1,1] generating graphics... => 144
[3,2,1,1,1,1] generating graphics... => 36
[3,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,1] generating graphics... => 256
[2,2,2,1,1,1] generating graphics... => 64
[2,2,1,1,1,1,1] generating graphics... => 16
[2,1,1,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1,1,1] generating graphics... => 1
[10] generating graphics... => 100
[9,1] generating graphics... => 81
[8,2] generating graphics... => 256
[8,1,1] generating graphics... => 64
[7,3] generating graphics... => 441
[7,2,1] generating graphics... => 196
[7,1,1,1] generating graphics... => 49
[6,4] generating graphics... => 576
[6,3,1] generating graphics... => 324
[6,2,2] generating graphics... => 576
[6,2,1,1] generating graphics... => 144
[6,1,1,1,1] generating graphics... => 36
[5,5] generating graphics... => 625
[5,4,1] generating graphics... => 400
[5,3,2] generating graphics... => 900
[5,3,1,1] generating graphics... => 225
[5,2,2,1] generating graphics... => 400
[5,2,1,1,1] generating graphics... => 100
[5,1,1,1,1,1] generating graphics... => 25
[4,4,2] generating graphics... => 1024
[4,4,1,1] generating graphics... => 256
[4,3,3] generating graphics... => 1296
[4,3,2,1] generating graphics... => 576
[4,3,1,1,1] generating graphics... => 144
[4,2,2,2] generating graphics... => 1024
[4,2,2,1,1] generating graphics... => 256
[4,2,1,1,1,1] generating graphics... => 64
[4,1,1,1,1,1,1] generating graphics... => 16
[3,3,3,1] generating graphics... => 729
[3,3,2,2] generating graphics... => 1296
[3,3,2,1,1] generating graphics... => 324
[3,3,1,1,1,1] generating graphics... => 81
[3,2,2,2,1] generating graphics... => 576
[3,2,2,1,1,1] generating graphics... => 144
[3,2,1,1,1,1,1] generating graphics... => 36
[3,1,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,2] generating graphics... => 1024
[2,2,2,2,1,1] generating graphics... => 256
[2,2,2,1,1,1,1] generating graphics... => 64
[2,2,1,1,1,1,1,1] generating graphics... => 16
[2,1,1,1,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[11] generating graphics... => 121
[10,1] generating graphics... => 100
[9,2] generating graphics... => 324
[9,1,1] generating graphics... => 81
[8,3] generating graphics... => 576
[8,2,1] generating graphics... => 256
[8,1,1,1] generating graphics... => 64
[7,4] generating graphics... => 784
[7,3,1] generating graphics... => 441
[7,2,2] generating graphics... => 784
[7,2,1,1] generating graphics... => 196
[7,1,1,1,1] generating graphics... => 49
[6,5] generating graphics... => 900
[6,4,1] generating graphics... => 576
[6,3,2] generating graphics... => 1296
[6,3,1,1] generating graphics... => 324
[6,2,2,1] generating graphics... => 576
[6,2,1,1,1] generating graphics... => 144
[6,1,1,1,1,1] generating graphics... => 36
[5,5,1] generating graphics... => 625
[5,4,2] generating graphics... => 1600
[5,4,1,1] generating graphics... => 400
[5,3,3] generating graphics... => 2025
[5,3,2,1] generating graphics... => 900
[5,3,1,1,1] generating graphics... => 225
[5,2,2,2] generating graphics... => 1600
[5,2,2,1,1] generating graphics... => 400
[5,2,1,1,1,1] generating graphics... => 100
[5,1,1,1,1,1,1] generating graphics... => 25
[4,4,3] generating graphics... => 2304
[4,4,2,1] generating graphics... => 1024
[4,4,1,1,1] generating graphics... => 256
[4,3,3,1] generating graphics... => 1296
[4,3,2,2] generating graphics... => 2304
[4,3,2,1,1] generating graphics... => 576
[4,3,1,1,1,1] generating graphics... => 144
[4,2,2,2,1] generating graphics... => 1024
[4,2,2,1,1,1] generating graphics... => 256
[4,2,1,1,1,1,1] generating graphics... => 64
[4,1,1,1,1,1,1,1] generating graphics... => 16
[3,3,3,2] generating graphics... => 2916
[3,3,3,1,1] generating graphics... => 729
[3,3,2,2,1] generating graphics... => 1296
[3,3,2,1,1,1] generating graphics... => 324
[3,3,1,1,1,1,1] generating graphics... => 81
[3,2,2,2,2] generating graphics... => 2304
[3,2,2,2,1,1] generating graphics... => 576
[3,2,2,1,1,1,1] generating graphics... => 144
[3,2,1,1,1,1,1,1] generating graphics... => 36
[3,1,1,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,2,1] generating graphics... => 1024
[2,2,2,2,1,1,1] generating graphics... => 256
[2,2,2,1,1,1,1,1] generating graphics... => 64
[2,2,1,1,1,1,1,1,1] generating graphics... => 16
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[12] generating graphics... => 144
[11,1] generating graphics... => 121
[10,2] generating graphics... => 400
[10,1,1] generating graphics... => 100
[9,3] generating graphics... => 729
[9,2,1] generating graphics... => 324
[9,1,1,1] generating graphics... => 81
[8,4] generating graphics... => 1024
[8,3,1] generating graphics... => 576
[8,2,2] generating graphics... => 1024
[8,2,1,1] generating graphics... => 256
[8,1,1,1,1] generating graphics... => 64
[7,5] generating graphics... => 1225
[7,4,1] generating graphics... => 784
[7,3,2] generating graphics... => 1764
[7,3,1,1] generating graphics... => 441
[7,2,2,1] generating graphics... => 784
[7,2,1,1,1] generating graphics... => 196
[7,1,1,1,1,1] generating graphics... => 49
[6,6] generating graphics... => 1296
[6,5,1] generating graphics... => 900
[6,4,2] generating graphics... => 2304
[6,4,1,1] generating graphics... => 576
[6,3,3] generating graphics... => 2916
[6,3,2,1] generating graphics... => 1296
[6,3,1,1,1] generating graphics... => 324
[6,2,2,2] generating graphics... => 2304
[6,2,2,1,1] generating graphics... => 576
[6,2,1,1,1,1] generating graphics... => 144
[6,1,1,1,1,1,1] generating graphics... => 36
[5,5,2] generating graphics... => 2500
[5,5,1,1] generating graphics... => 625
[5,4,3] generating graphics... => 3600
[5,4,2,1] generating graphics... => 1600
[5,4,1,1,1] generating graphics... => 400
[5,3,3,1] generating graphics... => 2025
[5,3,2,2] generating graphics... => 3600
[5,3,2,1,1] generating graphics... => 900
[5,3,1,1,1,1] generating graphics... => 225
[5,2,2,2,1] generating graphics... => 1600
[5,2,2,1,1,1] generating graphics... => 400
[5,2,1,1,1,1,1] generating graphics... => 100
[5,1,1,1,1,1,1,1] generating graphics... => 25
[4,4,4] generating graphics... => 4096
[4,4,3,1] generating graphics... => 2304
[4,4,2,2] generating graphics... => 4096
[4,4,2,1,1] generating graphics... => 1024
[4,4,1,1,1,1] generating graphics... => 256
[4,3,3,2] generating graphics... => 5184
[4,3,3,1,1] generating graphics... => 1296
[4,3,2,2,1] generating graphics... => 2304
[4,3,2,1,1,1] generating graphics... => 576
[4,3,1,1,1,1,1] generating graphics... => 144
[4,2,2,2,2] generating graphics... => 4096
[4,2,2,2,1,1] generating graphics... => 1024
[4,2,2,1,1,1,1] generating graphics... => 256
[4,2,1,1,1,1,1,1] generating graphics... => 64
[4,1,1,1,1,1,1,1,1] generating graphics... => 16
[3,3,3,3] generating graphics... => 6561
[3,3,3,2,1] generating graphics... => 2916
[3,3,3,1,1,1] generating graphics... => 729
[3,3,2,2,2] generating graphics... => 5184
[3,3,2,2,1,1] generating graphics... => 1296
[3,3,2,1,1,1,1] generating graphics... => 324
[3,3,1,1,1,1,1,1] generating graphics... => 81
[3,2,2,2,2,1] generating graphics... => 2304
[3,2,2,2,1,1,1] generating graphics... => 576
[3,2,2,1,1,1,1,1] generating graphics... => 144
[3,2,1,1,1,1,1,1,1] generating graphics... => 36
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 9
[2,2,2,2,2,2] generating graphics... => 4096
[2,2,2,2,2,1,1] generating graphics... => 1024
[2,2,2,2,1,1,1,1] generating graphics... => 256
[2,2,2,1,1,1,1,1,1] generating graphics... => 64
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 16
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 4
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
click to show generating function       
Description
The product of the squares of the parts of a partition.
References
[1] Satya Square weighted integer partition MathOverflow:295648
Code
def statistic(pi):
    return prod(p^2 for p in pi)

Created
Mar 20, 2018 at 16:21 by Martin Rubey
Updated
Mar 20, 2018 at 16:21 by Martin Rubey