Identifier
Identifier
Values
[2] generating graphics... => 2
[1,1] generating graphics... => 2
[3] generating graphics... => 2
[2,1] generating graphics... => 3
[1,1,1] generating graphics... => 5
[4] generating graphics... => 3
[3,1] generating graphics... => 3
[2,2] generating graphics... => 7
[2,1,1] generating graphics... => 7
[1,1,1,1] generating graphics... => 15
[5] generating graphics... => 2
[4,1] generating graphics... => 4
[3,2] generating graphics... => 5
[3,1,1] generating graphics... => 7
[2,2,1] generating graphics... => 12
[2,1,1,1] generating graphics... => 20
[1,1,1,1,1] generating graphics... => 52
[6] generating graphics... => 4
[5,1] generating graphics... => 3
[4,2] generating graphics... => 9
[4,1,1] generating graphics... => 9
[3,3] generating graphics... => 8
[3,2,1] generating graphics... => 10
[3,1,1,1] generating graphics... => 20
[2,2,2] generating graphics... => 31
[2,2,1,1] generating graphics... => 31
[2,1,1,1,1] generating graphics... => 67
[1,1,1,1,1,1] generating graphics... => 203
[7] generating graphics... => 2
[6,1] generating graphics... => 5
[5,2] generating graphics... => 5
[5,1,1] generating graphics... => 7
[4,3] generating graphics... => 7
[4,2,1] generating graphics... => 15
[4,1,1,1] generating graphics... => 25
[3,3,1] generating graphics... => 13
[3,2,2] generating graphics... => 19
[3,2,1,1] generating graphics... => 27
[3,1,1,1,1] generating graphics... => 67
[2,2,2,1] generating graphics... => 59
[2,2,1,1,1] generating graphics... => 97
[2,1,1,1,1,1] generating graphics... => 255
[1,1,1,1,1,1,1] generating graphics... => 877
[8] generating graphics... => 4
[7,1] generating graphics... => 3
[6,2] generating graphics... => 11
[6,1,1] generating graphics... => 11
[5,3] generating graphics... => 5
[5,2,1] generating graphics... => 10
[5,1,1,1] generating graphics... => 20
[4,4] generating graphics... => 16
[4,3,1] generating graphics... => 13
[4,2,2] generating graphics... => 38
[4,2,1,1] generating graphics... => 38
[4,1,1,1,1] generating graphics... => 82
[3,3,2] generating graphics... => 21
[3,3,1,1] generating graphics... => 33
[3,2,2,1] generating graphics... => 43
[3,2,1,1,1] generating graphics... => 87
[3,1,1,1,1,1] generating graphics... => 255
[2,2,2,2] generating graphics... => 164
[2,2,2,1,1] generating graphics... => 164
[2,2,1,1,1,1] generating graphics... => 352
[2,1,1,1,1,1,1] generating graphics... => 1080
[1,1,1,1,1,1,1,1] generating graphics... => 4140
[9] generating graphics... => 3
[8,1] generating graphics... => 5
[7,2] generating graphics... => 5
[7,1,1] generating graphics... => 7
[6,3] generating graphics... => 12
[6,2,1] generating graphics... => 18
[6,1,1,1] generating graphics... => 30
[5,4] generating graphics... => 7
[5,3,1] generating graphics... => 10
[5,2,2] generating graphics... => 19
[5,2,1,1] generating graphics... => 27
[5,1,1,1,1] generating graphics... => 67
[4,4,1] generating graphics... => 23
[4,3,2] generating graphics... => 24
[4,3,1,1] generating graphics... => 34
[4,2,2,1] generating graphics... => 71
[4,2,1,1,1] generating graphics... => 117
[4,1,1,1,1,1] generating graphics... => 307
[3,3,3] generating graphics... => 42
[3,3,2,1] generating graphics... => 46
[3,3,1,1,1] generating graphics... => 102
[3,2,2,2] generating graphics... => 90
[3,2,2,1,1] generating graphics... => 128
[3,2,1,1,1,1] generating graphics... => 322
[3,1,1,1,1,1,1] generating graphics... => 1080
[2,2,2,2,1] generating graphics... => 339
[2,2,2,1,1,1] generating graphics... => 549
[2,2,1,1,1,1,1] generating graphics... => 1439
[2,1,1,1,1,1,1,1] generating graphics... => 5017
[1,1,1,1,1,1,1,1,1] generating graphics... => 21147
[10] generating graphics... => 4
[9,1] generating graphics... => 4
[8,2] generating graphics... => 11
[8,1,1] generating graphics... => 11
[7,3] generating graphics... => 5
[7,2,1] generating graphics... => 10
[7,1,1,1] generating graphics... => 20
[6,4] generating graphics... => 15
[6,3,1] generating graphics... => 19
[6,2,2] generating graphics... => 45
[6,2,1,1] generating graphics... => 45
[6,1,1,1,1] generating graphics... => 97
[5,5] generating graphics... => 10
[5,4,1] generating graphics... => 13
[5,3,2] generating graphics... => 15
[5,3,1,1] generating graphics... => 27
[5,2,2,1] generating graphics... => 43
[5,2,1,1,1] generating graphics... => 87
[5,1,1,1,1,1] generating graphics... => 255
[4,4,2] generating graphics... => 55
[4,4,1,1] generating graphics... => 55
[4,3,3] generating graphics... => 29
[4,3,2,1] generating graphics... => 53
[4,3,1,1,1] generating graphics... => 107
[4,2,2,2] generating graphics... => 195
[4,2,2,1,1] generating graphics... => 195
[4,2,1,1,1,1] generating graphics... => 419
[4,1,1,1,1,1,1] generating graphics... => 1283
[3,3,3,1] generating graphics... => 73
[3,3,2,2] generating graphics... => 83
[3,3,2,1,1] generating graphics... => 135
[3,3,1,1,1,1] generating graphics... => 367
[3,2,2,2,1] generating graphics... => 223
[3,2,2,1,1,1] generating graphics... => 449
[3,2,1,1,1,1,1] generating graphics... => 1335
[3,1,1,1,1,1,1,1] generating graphics... => 5017
[2,2,2,2,2] generating graphics... => 999
[2,2,2,2,1,1] generating graphics... => 999
[2,2,2,1,1,1,1] generating graphics... => 2119
[2,2,1,1,1,1,1,1] generating graphics... => 6503
[2,1,1,1,1,1,1,1,1] generating graphics... => 25287
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 115975
[11] generating graphics... => 2
[10,1] generating graphics... => 5
[9,2] generating graphics... => 7
[9,1,1] generating graphics... => 9
[8,3] generating graphics... => 9
[8,2,1] generating graphics... => 18
[8,1,1,1] generating graphics... => 30
[7,4] generating graphics... => 7
[7,3,1] generating graphics... => 10
[7,2,2] generating graphics... => 19
[7,2,1,1] generating graphics... => 27
[7,1,1,1,1] generating graphics... => 67
[6,5] generating graphics... => 9
[6,4,1] generating graphics... => 23
[6,3,2] generating graphics... => 35
[6,3,1,1] generating graphics... => 47
[6,2,2,1] generating graphics... => 83
[6,2,1,1,1] generating graphics... => 137
[6,1,1,1,1,1] generating graphics... => 359
[5,5,1] generating graphics... => 15
[5,4,2] generating graphics... => 24
[5,4,1,1] generating graphics... => 34
[5,3,3] generating graphics... => 21
[5,3,2,1] generating graphics... => 37
[5,3,1,1,1] generating graphics... => 87
[5,2,2,2] generating graphics... => 90
[5,2,2,1,1] generating graphics... => 128
[5,2,1,1,1,1] generating graphics... => 322
[5,1,1,1,1,1,1] generating graphics... => 1080
[4,4,3] generating graphics... => 39
[4,4,2,1] generating graphics... => 98
[4,4,1,1,1] generating graphics... => 162
[4,3,3,1] generating graphics... => 59
[4,3,2,2] generating graphics... => 109
[4,3,2,1,1] generating graphics... => 155
[4,3,1,1,1,1] generating graphics... => 389
[4,2,2,2,1] generating graphics... => 398
[4,2,2,1,1,1] generating graphics... => 646
[4,2,1,1,1,1,1] generating graphics... => 1694
[4,1,1,1,1,1,1,1] generating graphics... => 5894
[3,3,3,2] generating graphics... => 115
[3,3,3,1,1] generating graphics... => 195
[3,3,2,2,1] generating graphics... => 207
[3,3,2,1,1,1] generating graphics... => 469
[3,3,1,1,1,1,1] generating graphics... => 1491
[3,2,2,2,2] generating graphics... => 503
[3,2,2,2,1,1] generating graphics... => 713
[3,2,2,1,1,1,1] generating graphics... => 1791
[3,2,1,1,1,1,1,1] generating graphics... => 6097
[3,1,1,1,1,1,1,1,1] generating graphics... => 25287
[2,2,2,2,2,1] generating graphics... => 2210
[2,2,2,2,1,1,1] generating graphics... => 3530
[2,2,2,1,1,1,1,1] generating graphics... => 9170
[2,2,1,1,1,1,1,1,1] generating graphics... => 32058
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 137122
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 678570
[12] generating graphics... => 6
[11,1] generating graphics... => 3
[10,2] generating graphics... => 11
[10,1,1] generating graphics... => 11
[9,3] generating graphics... => 10
[9,2,1] generating graphics... => 13
[9,1,1,1] generating graphics... => 25
[8,4] generating graphics... => 19
[8,3,1] generating graphics... => 16
[8,2,2] generating graphics... => 45
[8,2,1,1] generating graphics... => 45
[8,1,1,1,1] generating graphics... => 97
[7,5] generating graphics... => 5
[7,4,1] generating graphics... => 13
[7,3,2] generating graphics... => 15
[7,3,1,1] generating graphics... => 27
[7,2,2,1] generating graphics... => 43
[7,2,1,1,1] generating graphics... => 87
[7,1,1,1,1,1] generating graphics... => 255
[6,6] generating graphics... => 28
[6,5,1] generating graphics... => 16
[6,4,2] generating graphics... => 56
[6,4,1,1] generating graphics... => 56
[6,3,3] generating graphics... => 58
[6,3,2,1] generating graphics... => 72
[6,3,1,1,1] generating graphics... => 142
[6,2,2,2] generating graphics... => 226
[6,2,2,1,1] generating graphics... => 226
[6,2,1,1,1,1] generating graphics... => 486
[6,1,1,1,1,1,1] generating graphics... => 1486
[5,5,2] generating graphics... => 25
[5,5,1,1] generating graphics... => 37
[5,4,3] generating graphics... => 20
[5,4,2,1] generating graphics... => 53
[5,4,1,1,1] generating graphics... => 107
[5,3,3,1] generating graphics... => 46
[5,3,2,2] generating graphics... => 62
[5,3,2,1,1] generating graphics... => 114
[5,3,1,1,1,1] generating graphics... => 322
[5,2,2,2,1] generating graphics... => 223
[5,2,2,1,1,1] generating graphics... => 449
[5,2,1,1,1,1,1] generating graphics... => 1335
[5,1,1,1,1,1,1,1] generating graphics... => 5017
[4,4,4] generating graphics... => 111
[4,4,3,1] generating graphics... => 78
[4,4,2,2] generating graphics... => 261
[4,4,2,1,1] generating graphics... => 261
[4,4,1,1,1,1] generating graphics... => 561
[4,3,3,2] generating graphics... => 104
[4,3,3,1,1] generating graphics... => 168
[4,3,2,2,1] generating graphics... => 266
[4,3,2,1,1,1] generating graphics... => 536
[4,3,1,1,1,1,1] generating graphics... => 1590
[4,2,2,2,2] generating graphics... => 1163
[4,2,2,2,1,1] generating graphics... => 1163
[4,2,2,1,1,1,1] generating graphics... => 2471
[4,2,1,1,1,1,1,1] generating graphics... => 7583
[4,1,1,1,1,1,1,1,1] generating graphics... => 29427
[3,3,3,3] generating graphics... => 268
[3,3,3,2,1] generating graphics... => 268
[3,3,3,1,1,1] generating graphics... => 634
[3,3,2,2,2] generating graphics... => 406
[3,3,2,2,1,1] generating graphics... => 670
[3,3,2,1,1,1,1] generating graphics... => 1858
[3,3,1,1,1,1,1,1] generating graphics... => 6706
[3,2,2,2,2,1] generating graphics... => 1338
[3,2,2,2,1,1,1] generating graphics... => 2668
[3,2,2,1,1,1,1,1] generating graphics... => 7942
[3,2,1,1,1,1,1,1,1] generating graphics... => 30304
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 137122
[2,2,2,2,2,2] generating graphics... => 6841
[2,2,2,2,2,1,1] generating graphics... => 6841
[2,2,2,2,1,1,1,1] generating graphics... => 14325
[2,2,2,1,1,1,1,1,1] generating graphics... => 43693
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 170689
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 794545
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 4213597
click to show generating function       
Description
The number of invariant set partitions when acting with a permutation of given cycle type.
References
[1] Bergeron, F., Labelle, G., Leroux, P. Combinatorial species and tree-like structures MathSciNet:1629341
Code
def statistic(la):
    Partitionspecies = species.PartitionSpecies().cycle_index_series()
    return Partitionspecies.count(la)

Created
May 26, 2016 at 21:32 by Martin Rubey
Updated
May 26, 2016 at 21:32 by Martin Rubey