Identifier
Identifier
Values
[] generating graphics... => 1
[1] generating graphics... => 1
[2] generating graphics... => 1
[1,1] generating graphics... => 1
[3] generating graphics... => 1
[2,1] generating graphics... => 2
[1,1,1] generating graphics... => 1
[4] generating graphics... => 1
[3,1] generating graphics... => 3
[2,2] generating graphics... => 2
[2,1,1] generating graphics... => 3
[1,1,1,1] generating graphics... => 1
[5] generating graphics... => 1
[4,1] generating graphics... => 4
[3,2] generating graphics... => 5
[3,1,1] generating graphics... => 6
[2,2,1] generating graphics... => 5
[2,1,1,1] generating graphics... => 4
[1,1,1,1,1] generating graphics... => 1
[6] generating graphics... => 1
[5,1] generating graphics... => 5
[4,2] generating graphics... => 9
[4,1,1] generating graphics... => 10
[3,3] generating graphics... => 5
[3,2,1] generating graphics... => 16
[3,1,1,1] generating graphics... => 10
[2,2,2] generating graphics... => 5
[2,2,1,1] generating graphics... => 9
[2,1,1,1,1] generating graphics... => 5
[1,1,1,1,1,1] generating graphics... => 1
[7] generating graphics... => 1
[6,1] generating graphics... => 6
[5,2] generating graphics... => 14
[5,1,1] generating graphics... => 15
[4,3] generating graphics... => 14
[4,2,1] generating graphics... => 35
[4,1,1,1] generating graphics... => 20
[3,3,1] generating graphics... => 21
[3,2,2] generating graphics... => 21
[3,2,1,1] generating graphics... => 35
[3,1,1,1,1] generating graphics... => 15
[2,2,2,1] generating graphics... => 14
[2,2,1,1,1] generating graphics... => 14
[2,1,1,1,1,1] generating graphics... => 6
[1,1,1,1,1,1,1] generating graphics... => 1
[8] generating graphics... => 1
[7,1] generating graphics... => 7
[6,2] generating graphics... => 20
[6,1,1] generating graphics... => 21
[5,3] generating graphics... => 28
[5,2,1] generating graphics... => 64
[5,1,1,1] generating graphics... => 35
[4,4] generating graphics... => 14
[4,3,1] generating graphics... => 70
[4,2,2] generating graphics... => 56
[4,2,1,1] generating graphics... => 90
[4,1,1,1,1] generating graphics... => 35
[3,3,2] generating graphics... => 42
[3,3,1,1] generating graphics... => 56
[3,2,2,1] generating graphics... => 70
[3,2,1,1,1] generating graphics... => 64
[3,1,1,1,1,1] generating graphics... => 21
[2,2,2,2] generating graphics... => 14
[2,2,2,1,1] generating graphics... => 28
[2,2,1,1,1,1] generating graphics... => 20
[2,1,1,1,1,1,1] generating graphics... => 7
[1,1,1,1,1,1,1,1] generating graphics... => 1
[9] generating graphics... => 1
[8,1] generating graphics... => 8
[7,2] generating graphics... => 27
[7,1,1] generating graphics... => 28
[6,3] generating graphics... => 48
[6,2,1] generating graphics... => 105
[6,1,1,1] generating graphics... => 56
[5,4] generating graphics... => 42
[5,3,1] generating graphics... => 162
[5,2,2] generating graphics... => 120
[5,2,1,1] generating graphics... => 189
[5,1,1,1,1] generating graphics... => 70
[4,4,1] generating graphics... => 84
[4,3,2] generating graphics... => 168
[4,3,1,1] generating graphics... => 216
[4,2,2,1] generating graphics... => 216
[4,2,1,1,1] generating graphics... => 189
[4,1,1,1,1,1] generating graphics... => 56
[3,3,3] generating graphics... => 42
[3,3,2,1] generating graphics... => 168
[3,3,1,1,1] generating graphics... => 120
[3,2,2,2] generating graphics... => 84
[3,2,2,1,1] generating graphics... => 162
[3,2,1,1,1,1] generating graphics... => 105
[3,1,1,1,1,1,1] generating graphics... => 28
[2,2,2,2,1] generating graphics... => 42
[2,2,2,1,1,1] generating graphics... => 48
[2,2,1,1,1,1,1] generating graphics... => 27
[2,1,1,1,1,1,1,1] generating graphics... => 8
[1,1,1,1,1,1,1,1,1] generating graphics... => 1
[10] generating graphics... => 1
[9,1] generating graphics... => 9
[8,2] generating graphics... => 35
[8,1,1] generating graphics... => 36
[7,3] generating graphics... => 75
[7,2,1] generating graphics... => 160
[7,1,1,1] generating graphics... => 84
[6,4] generating graphics... => 90
[6,3,1] generating graphics... => 315
[6,2,2] generating graphics... => 225
[6,2,1,1] generating graphics... => 350
[6,1,1,1,1] generating graphics... => 126
[5,5] generating graphics... => 42
[5,4,1] generating graphics... => 288
[5,3,2] generating graphics... => 450
[5,3,1,1] generating graphics... => 567
[5,2,2,1] generating graphics... => 525
[5,2,1,1,1] generating graphics... => 448
[5,1,1,1,1,1] generating graphics... => 126
[4,4,2] generating graphics... => 252
[4,4,1,1] generating graphics... => 300
[4,3,3] generating graphics... => 210
[4,3,2,1] generating graphics... => 768
[4,3,1,1,1] generating graphics... => 525
[4,2,2,2] generating graphics... => 300
[4,2,2,1,1] generating graphics... => 567
[4,2,1,1,1,1] generating graphics... => 350
[4,1,1,1,1,1,1] generating graphics... => 84
[3,3,3,1] generating graphics... => 210
[3,3,2,2] generating graphics... => 252
[3,3,2,1,1] generating graphics... => 450
[3,3,1,1,1,1] generating graphics... => 225
[3,2,2,2,1] generating graphics... => 288
[3,2,2,1,1,1] generating graphics... => 315
[3,2,1,1,1,1,1] generating graphics... => 160
[3,1,1,1,1,1,1,1] generating graphics... => 36
[2,2,2,2,2] generating graphics... => 42
[2,2,2,2,1,1] generating graphics... => 90
[2,2,2,1,1,1,1] generating graphics... => 75
[2,2,1,1,1,1,1,1] generating graphics... => 35
[2,1,1,1,1,1,1,1,1] generating graphics... => 9
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[11] generating graphics... => 1
[10,1] generating graphics... => 10
[9,2] generating graphics... => 44
[9,1,1] generating graphics... => 45
[8,3] generating graphics... => 110
[8,2,1] generating graphics... => 231
[8,1,1,1] generating graphics... => 120
[7,4] generating graphics... => 165
[7,3,1] generating graphics... => 550
[7,2,2] generating graphics... => 385
[7,2,1,1] generating graphics... => 594
[7,1,1,1,1] generating graphics... => 210
[6,5] generating graphics... => 132
[6,4,1] generating graphics... => 693
[6,3,2] generating graphics... => 990
[6,3,1,1] generating graphics... => 1232
[6,2,2,1] generating graphics... => 1100
[6,2,1,1,1] generating graphics... => 924
[6,1,1,1,1,1] generating graphics... => 252
[5,5,1] generating graphics... => 330
[5,4,2] generating graphics... => 990
[5,4,1,1] generating graphics... => 1155
[5,3,3] generating graphics... => 660
[5,3,2,1] generating graphics... => 2310
[5,3,1,1,1] generating graphics... => 1540
[5,2,2,2] generating graphics... => 825
[5,2,2,1,1] generating graphics... => 1540
[5,2,1,1,1,1] generating graphics... => 924
[5,1,1,1,1,1,1] generating graphics... => 210
[4,4,3] generating graphics... => 462
[4,4,2,1] generating graphics... => 1320
[4,4,1,1,1] generating graphics... => 825
[4,3,3,1] generating graphics... => 1188
[4,3,2,2] generating graphics... => 1320
[4,3,2,1,1] generating graphics... => 2310
[4,3,1,1,1,1] generating graphics... => 1100
[4,2,2,2,1] generating graphics... => 1155
[4,2,2,1,1,1] generating graphics... => 1232
[4,2,1,1,1,1,1] generating graphics... => 594
[4,1,1,1,1,1,1,1] generating graphics... => 120
[3,3,3,2] generating graphics... => 462
[3,3,3,1,1] generating graphics... => 660
[3,3,2,2,1] generating graphics... => 990
[3,3,2,1,1,1] generating graphics... => 990
[3,3,1,1,1,1,1] generating graphics... => 385
[3,2,2,2,2] generating graphics... => 330
[3,2,2,2,1,1] generating graphics... => 693
[3,2,2,1,1,1,1] generating graphics... => 550
[3,2,1,1,1,1,1,1] generating graphics... => 231
[3,1,1,1,1,1,1,1,1] generating graphics... => 45
[2,2,2,2,2,1] generating graphics... => 132
[2,2,2,2,1,1,1] generating graphics... => 165
[2,2,2,1,1,1,1,1] generating graphics... => 110
[2,2,1,1,1,1,1,1,1] generating graphics... => 44
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
[12] generating graphics... => 1
[11,1] generating graphics... => 11
[10,2] generating graphics... => 54
[10,1,1] generating graphics... => 55
[9,3] generating graphics... => 154
[9,2,1] generating graphics... => 320
[9,1,1,1] generating graphics... => 165
[8,4] generating graphics... => 275
[8,3,1] generating graphics... => 891
[8,2,2] generating graphics... => 616
[8,2,1,1] generating graphics... => 945
[8,1,1,1,1] generating graphics... => 330
[7,5] generating graphics... => 297
[7,4,1] generating graphics... => 1408
[7,3,2] generating graphics... => 1925
[7,3,1,1] generating graphics... => 2376
[7,2,2,1] generating graphics... => 2079
[7,2,1,1,1] generating graphics... => 1728
[7,1,1,1,1,1] generating graphics... => 462
[6,6] generating graphics... => 132
[6,5,1] generating graphics... => 1155
[6,4,2] generating graphics... => 2673
[6,4,1,1] generating graphics... => 3080
[6,3,3] generating graphics... => 1650
[6,3,2,1] generating graphics... => 5632
[6,3,1,1,1] generating graphics... => 3696
[6,2,2,2] generating graphics... => 1925
[6,2,2,1,1] generating graphics... => 3564
[6,2,1,1,1,1] generating graphics... => 2100
[6,1,1,1,1,1,1] generating graphics... => 462
[5,5,2] generating graphics... => 1320
[5,5,1,1] generating graphics... => 1485
[5,4,3] generating graphics... => 2112
[5,4,2,1] generating graphics... => 5775
[5,4,1,1,1] generating graphics... => 3520
[5,3,3,1] generating graphics... => 4158
[5,3,2,2] generating graphics... => 4455
[5,3,2,1,1] generating graphics... => 7700
[5,3,1,1,1,1] generating graphics... => 3564
[5,2,2,2,1] generating graphics... => 3520
[5,2,2,1,1,1] generating graphics... => 3696
[5,2,1,1,1,1,1] generating graphics... => 1728
[5,1,1,1,1,1,1,1] generating graphics... => 330
[4,4,4] generating graphics... => 462
[4,4,3,1] generating graphics... => 2970
[4,4,2,2] generating graphics... => 2640
[4,4,2,1,1] generating graphics... => 4455
[4,4,1,1,1,1] generating graphics... => 1925
[4,3,3,2] generating graphics... => 2970
[4,3,3,1,1] generating graphics... => 4158
[4,3,2,2,1] generating graphics... => 5775
[4,3,2,1,1,1] generating graphics... => 5632
[4,3,1,1,1,1,1] generating graphics... => 2079
[4,2,2,2,2] generating graphics... => 1485
[4,2,2,2,1,1] generating graphics... => 3080
[4,2,2,1,1,1,1] generating graphics... => 2376
[4,2,1,1,1,1,1,1] generating graphics... => 945
[4,1,1,1,1,1,1,1,1] generating graphics... => 165
[3,3,3,3] generating graphics... => 462
[3,3,3,2,1] generating graphics... => 2112
[3,3,3,1,1,1] generating graphics... => 1650
[3,3,2,2,2] generating graphics... => 1320
[3,3,2,2,1,1] generating graphics... => 2673
[3,3,2,1,1,1,1] generating graphics... => 1925
[3,3,1,1,1,1,1,1] generating graphics... => 616
[3,2,2,2,2,1] generating graphics... => 1155
[3,2,2,2,1,1,1] generating graphics... => 1408
[3,2,2,1,1,1,1,1] generating graphics... => 891
[3,2,1,1,1,1,1,1,1] generating graphics... => 320
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 55
[2,2,2,2,2,2] generating graphics... => 132
[2,2,2,2,2,1,1] generating graphics... => 297
[2,2,2,2,1,1,1,1] generating graphics... => 275
[2,2,2,1,1,1,1,1,1] generating graphics... => 154
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 54
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1
click to show generating function       
Description
The number of standard Young tableaux of the partition.
Code
def statistic(x):
    return StandardTableaux(x).cardinality()
Created
Sep 14, 2011 at 16:53 by Chris Berg
Updated
Oct 29, 2017 at 16:03 by Martin Rubey