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* www.FindStat.org - The Combinatorial Statistic Finder *
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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St001400
-----------------------------------------------------------------------------
Collection: Integer partitions
-----------------------------------------------------------------------------
Description: The total number of Littlewood-Richardson tableaux of given shape.
This is the multiplicity of the Schur function $s_\lambda$ in $\sum_{\mu, \nu} s_\mu s_\nu$, where the sum is over all partitions $\mu$ and $\nu$.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
import sage.libs.lrcalc.lrcalc as lrcalc
def statistic(la):
n = la.size()
return sum(lrcalc.lrcoef_unsafe(la, mu, nu) for m in range(n+1) for mu in Partitions(m) for nu in Partitions(n-m))
-----------------------------------------------------------------------------
Statistic values:
[] => 1
[1] => 2
[2] => 3
[1,1] => 3
[3] => 4
[2,1] => 6
[1,1,1] => 4
[4] => 5
[3,1] => 9
[2,2] => 6
[2,1,1] => 9
[1,1,1,1] => 5
[5] => 6
[4,1] => 12
[3,2] => 12
[3,1,1] => 14
[2,2,1] => 12
[2,1,1,1] => 12
[1,1,1,1,1] => 6
[6] => 7
[5,1] => 15
[4,2] => 18
[4,1,1] => 19
[3,3] => 10
[3,2,1] => 26
[3,1,1,1] => 19
[2,2,2] => 10
[2,2,1,1] => 18
[2,1,1,1,1] => 15
[1,1,1,1,1,1] => 7
[7] => 8
[6,1] => 18
[5,2] => 24
[5,1,1] => 24
[4,3] => 20
[4,2,1] => 40
[4,1,1,1] => 26
[3,3,1] => 24
[3,2,2] => 24
[3,2,1,1] => 40
[3,1,1,1,1] => 24
[2,2,2,1] => 20
[2,2,1,1,1] => 24
[2,1,1,1,1,1] => 18
[1,1,1,1,1,1,1] => 8
[8] => 9
[7,1] => 21
[6,2] => 30
[6,1,1] => 29
[5,3] => 30
[5,2,1] => 54
[5,1,1,1] => 33
[4,4] => 15
[4,3,1] => 51
[4,2,2] => 39
[4,2,1,1] => 62
[4,1,1,1,1] => 33
[3,3,2] => 30
[3,3,1,1] => 39
[3,2,2,1] => 51
[3,2,1,1,1] => 54
[3,1,1,1,1,1] => 29
[2,2,2,2] => 15
[2,2,2,1,1] => 30
[2,2,1,1,1,1] => 30
[2,1,1,1,1,1,1] => 21
[1,1,1,1,1,1,1,1] => 9
[9] => 10
[8,1] => 24
[7,2] => 36
[7,1,1] => 34
[6,3] => 40
[6,2,1] => 68
[6,1,1,1] => 40
[5,4] => 30
[5,3,1] => 78
[5,2,2] => 54
[5,2,1,1] => 84
[5,1,1,1,1] => 42
[4,4,1] => 40
[4,3,2] => 68
[4,3,1,1] => 84
[4,2,2,1] => 84
[4,2,1,1,1] => 84
[4,1,1,1,1,1] => 40
[3,3,3] => 20
[3,3,2,1] => 68
[3,3,1,1,1] => 54
[3,2,2,2] => 40
[3,2,2,1,1] => 78
[3,2,1,1,1,1] => 68
[3,1,1,1,1,1,1] => 34
[2,2,2,2,1] => 30
[2,2,2,1,1,1] => 40
[2,2,1,1,1,1,1] => 36
[2,1,1,1,1,1,1,1] => 24
[1,1,1,1,1,1,1,1,1] => 10
[10] => 11
[9,1] => 27
[8,2] => 42
[8,1,1] => 39
[7,3] => 50
[7,2,1] => 82
[7,1,1,1] => 47
[6,4] => 45
[6,3,1] => 105
[6,2,2] => 69
[6,2,1,1] => 106
[6,1,1,1,1] => 51
[5,5] => 21
[5,4,1] => 84
[5,3,2] => 108
[5,3,1,1] => 129
[5,2,2,1] => 117
[5,2,1,1,1] => 114
[5,1,1,1,1,1] => 51
[4,4,2] => 60
[4,4,1,1] => 68
[4,3,3] => 50
[4,3,2,1] => 158
[4,3,1,1,1] => 117
[4,2,2,2] => 68
[4,2,2,1,1] => 129
[4,2,1,1,1,1] => 106
[4,1,1,1,1,1,1] => 47
[3,3,3,1] => 50
[3,3,2,2] => 60
[3,3,2,1,1] => 108
[3,3,1,1,1,1] => 69
[3,2,2,2,1] => 84
[3,2,2,1,1,1] => 105
[3,2,1,1,1,1,1] => 82
[3,1,1,1,1,1,1,1] => 39
[2,2,2,2,2] => 21
[2,2,2,2,1,1] => 45
[2,2,2,1,1,1,1] => 50
[2,2,1,1,1,1,1,1] => 42
[2,1,1,1,1,1,1,1,1] => 27
[1,1,1,1,1,1,1,1,1,1] => 11
[11] => 12
[10,1] => 30
[9,2] => 48
[9,1,1] => 44
[8,3] => 60
[8,2,1] => 96
[8,1,1,1] => 54
[7,4] => 60
[7,3,1] => 132
[7,2,2] => 84
[7,2,1,1] => 128
[7,1,1,1,1] => 60
[6,5] => 42
[6,4,1] => 128
[6,3,2] => 148
[6,3,1,1] => 174
[6,2,2,1] => 150
[6,2,1,1,1] => 144
[6,1,1,1,1,1] => 62
[5,5,1] => 60
[5,4,2] => 132
[5,4,1,1] => 144
[5,3,3] => 84
[5,3,2,1] => 252
[5,3,1,1,1] => 180
[5,2,2,2] => 96
[5,2,2,1,1] => 180
[5,2,1,1,1,1] => 144
[5,1,1,1,1,1,1] => 60
[4,4,3] => 60
[4,4,2,1] => 144
[4,4,1,1,1] => 96
[4,3,3,1] => 132
[4,3,2,2] => 144
[4,3,2,1,1] => 252
[4,3,1,1,1,1] => 150
[4,2,2,2,1] => 144
[4,2,2,1,1,1] => 174
[4,2,1,1,1,1,1] => 128
[4,1,1,1,1,1,1,1] => 54
[3,3,3,2] => 60
[3,3,3,1,1] => 84
[3,3,2,2,1] => 132
[3,3,2,1,1,1] => 148
[3,3,1,1,1,1,1] => 84
[3,2,2,2,2] => 60
[3,2,2,2,1,1] => 128
[3,2,2,1,1,1,1] => 132
[3,2,1,1,1,1,1,1] => 96
[3,1,1,1,1,1,1,1,1] => 44
[2,2,2,2,2,1] => 42
[2,2,2,2,1,1,1] => 60
[2,2,2,1,1,1,1,1] => 60
[2,2,1,1,1,1,1,1,1] => 48
[2,1,1,1,1,1,1,1,1,1] => 30
[1,1,1,1,1,1,1,1,1,1,1] => 12
[12] => 13
[11,1] => 33
[10,2] => 54
[10,1,1] => 49
[9,3] => 70
[9,2,1] => 110
[9,1,1,1] => 61
[8,4] => 75
[8,3,1] => 159
[8,2,2] => 99
[8,2,1,1] => 150
[8,1,1,1,1] => 69
[7,5] => 63
[7,4,1] => 172
[7,3,2] => 188
[7,3,1,1] => 219
[7,2,2,1] => 183
[7,2,1,1,1] => 174
[7,1,1,1,1,1] => 73
[6,6] => 28
[6,5,1] => 125
[6,4,2] => 207
[6,4,1,1] => 220
[6,3,3] => 119
[6,3,2,1] => 346
[6,3,1,1,1] => 243
[6,2,2,2] => 124
[6,2,2,1,1] => 231
[6,2,1,1,1,1] => 182
[6,1,1,1,1,1,1] => 73
[5,5,2] => 100
[5,5,1,1] => 105
[5,4,3] => 140
[5,4,2,1] => 321
[5,4,1,1,1] => 204
[5,3,3,1] => 225
[5,3,2,2] => 234
[5,3,2,1,1] => 402
[5,3,1,1,1,1] => 231
[5,2,2,2,1] => 204
[5,2,2,1,1,1] => 243
[5,2,1,1,1,1,1] => 174
[5,1,1,1,1,1,1,1] => 69
[4,4,4] => 35
[4,4,3,1] => 165
[4,4,2,2] => 140
[4,4,2,1,1] => 234
[4,4,1,1,1,1] => 124
[4,3,3,2] => 165
[4,3,3,1,1] => 225
[4,3,2,2,1] => 321
[4,3,2,1,1,1] => 346
[4,3,1,1,1,1,1] => 183
[4,2,2,2,2] => 105
[4,2,2,2,1,1] => 220
[4,2,2,1,1,1,1] => 219
[4,2,1,1,1,1,1,1] => 150
[4,1,1,1,1,1,1,1,1] => 61
[3,3,3,3] => 35
[3,3,3,2,1] => 140
[3,3,3,1,1,1] => 119
[3,3,2,2,2] => 100
[3,3,2,2,1,1] => 207
[3,3,2,1,1,1,1] => 188
[3,3,1,1,1,1,1,1] => 99
[3,2,2,2,2,1] => 125
[3,2,2,2,1,1,1] => 172
[3,2,2,1,1,1,1,1] => 159
[3,2,1,1,1,1,1,1,1] => 110
[3,1,1,1,1,1,1,1,1,1] => 49
[2,2,2,2,2,2] => 28
[2,2,2,2,2,1,1] => 63
[2,2,2,2,1,1,1,1] => 75
[2,2,2,1,1,1,1,1,1] => 70
[2,2,1,1,1,1,1,1,1,1] => 54
[2,1,1,1,1,1,1,1,1,1,1] => 33
[1,1,1,1,1,1,1,1,1,1,1,1] => 13
[13] => 14
[12,1] => 36
[11,2] => 60
[11,1,1] => 54
[10,3] => 80
[10,2,1] => 124
[10,1,1,1] => 68
[9,4] => 90
[9,3,1] => 186
[9,2,2] => 114
[9,2,1,1] => 172
[9,1,1,1,1] => 78
[8,5] => 84
[8,4,1] => 216
[8,3,2] => 228
[8,3,1,1] => 264
[8,2,2,1] => 216
[8,2,1,1,1] => 204
[8,1,1,1,1,1] => 84
[7,6] => 56
[7,5,1] => 190
[7,4,2] => 282
[7,4,1,1] => 296
[7,3,3] => 154
[7,3,2,1] => 440
[7,3,1,1,1] => 306
[7,2,2,2] => 152
[7,2,2,1,1] => 282
[7,2,1,1,1,1] => 220
[7,1,1,1,1,1,1] => 86
[6,6,1] => 84
[6,5,2] => 216
[6,5,1,1] => 220
[6,4,3] => 228
[6,4,2,1] => 504
[6,4,1,1,1] => 312
[6,3,3,1] => 320
[6,3,2,2] => 324
[6,3,2,1,1] => 552
[6,3,1,1,1,1] => 312
[6,2,2,2,1] => 264
[6,2,2,1,1,1] => 312
[6,2,1,1,1,1,1] => 220
[6,1,1,1,1,1,1,1] => 84
[5,5,3] => 120
[5,5,2,1] => 248
[5,5,1,1,1] => 150
[5,4,4] => 90
[5,4,3,1] => 394
[5,4,2,2] => 318
[5,4,2,1,1] => 522
[5,4,1,1,1,1] => 264
[5,3,3,2] => 288
[5,3,3,1,1] => 384
[5,3,2,2,1] => 522
[5,3,2,1,1,1] => 552
[5,3,1,1,1,1,1] => 282
[5,2,2,2,2] => 150
[5,2,2,2,1,1] => 312
[5,2,2,1,1,1,1] => 306
[5,2,1,1,1,1,1,1] => 204
[5,1,1,1,1,1,1,1,1] => 78
[4,4,4,1] => 100
[4,4,3,2] => 220
[4,4,3,1,1] => 288
[4,4,2,2,1] => 318
[4,4,2,1,1,1] => 324
[4,4,1,1,1,1,1] => 152
[4,3,3,3] => 100
[4,3,3,2,1] => 394
[4,3,3,1,1,1] => 320
[4,3,2,2,2] => 248
[4,3,2,2,1,1] => 504
[4,3,2,1,1,1,1] => 440
[4,3,1,1,1,1,1,1] => 216
[4,2,2,2,2,1] => 220
[4,2,2,2,1,1,1] => 296
[4,2,2,1,1,1,1,1] => 264
[4,2,1,1,1,1,1,1,1] => 172
[4,1,1,1,1,1,1,1,1,1] => 68
[3,3,3,3,1] => 90
[3,3,3,2,2] => 120
[3,3,3,2,1,1] => 228
[3,3,3,1,1,1,1] => 154
[3,3,2,2,2,1] => 216
[3,3,2,2,1,1,1] => 282
[3,3,2,1,1,1,1,1] => 228
[3,3,1,1,1,1,1,1,1] => 114
[3,2,2,2,2,2] => 84
[3,2,2,2,2,1,1] => 190
[3,2,2,2,1,1,1,1] => 216
[3,2,2,1,1,1,1,1,1] => 186
[3,2,1,1,1,1,1,1,1,1] => 124
[3,1,1,1,1,1,1,1,1,1,1] => 54
[2,2,2,2,2,2,1] => 56
[2,2,2,2,2,1,1,1] => 84
[2,2,2,2,1,1,1,1,1] => 90
[2,2,2,1,1,1,1,1,1,1] => 80
[2,2,1,1,1,1,1,1,1,1,1] => 60
[2,1,1,1,1,1,1,1,1,1,1,1] => 36
[1,1,1,1,1,1,1,1,1,1,1,1,1] => 14
[14] => 15
[13,1] => 39
[12,2] => 66
[12,1,1] => 59
[11,3] => 90
[11,2,1] => 138
[11,1,1,1] => 75
[10,4] => 105
[10,3,1] => 213
[10,2,2] => 129
[10,2,1,1] => 194
[10,1,1,1,1] => 87
[9,5] => 105
[9,4,1] => 260
[9,3,2] => 268
[9,3,1,1] => 309
[9,2,2,1] => 249
[9,2,1,1,1] => 234
[9,1,1,1,1,1] => 95
[8,6] => 84
[8,5,1] => 255
[8,4,2] => 357
[8,4,1,1] => 372
[8,3,3] => 189
[8,3,2,1] => 534
[8,3,1,1,1] => 369
[8,2,2,2] => 180
[8,2,2,1,1] => 333
[8,2,1,1,1,1] => 258
[8,1,1,1,1,1,1] => 99
[7,7] => 36
[7,6,1] => 174
[7,5,2] => 336
[7,5,1,1] => 335
[7,4,3] => 318
[7,4,2,1] => 687
[7,4,1,1,1] => 420
[7,3,3,1] => 415
[7,3,2,2] => 414
[7,3,2,1,1] => 702
[7,3,1,1,1,1] => 393
[7,2,2,2,1] => 324
[7,2,2,1,1,1] => 381
[7,2,1,1,1,1,1] => 266
[7,1,1,1,1,1,1,1] => 99
[6,6,2] => 150
[6,6,1,1] => 150
[6,5,3] => 270
[6,5,2,1] => 540
[6,5,1,1,1] => 315
[6,4,4] => 155
[6,4,3,1] => 645
[6,4,2,2] => 505
[6,4,2,1,1] => 819
[6,4,1,1,1,1] => 404
[6,3,3,2] => 414
[6,3,3,1,1] => 546
[6,3,2,2,1] => 723
[6,3,2,1,1,1] => 758
[6,3,1,1,1,1,1] => 381
[6,2,2,2,2] => 195
[6,2,2,2,1,1] => 404
[6,2,2,1,1,1,1] => 393
[6,2,1,1,1,1,1,1] => 258
[6,1,1,1,1,1,1,1,1] => 95
[5,5,4] => 105
[5,5,3,1] => 345
[5,5,2,2] => 255
[5,5,2,1,1] => 408
[5,5,1,1,1,1] => 195
[5,4,4,1] => 270
[5,4,3,2] => 540
[5,4,3,1,1] => 690
[5,4,2,2,1] => 726
[5,4,2,1,1,1] => 723
[5,4,1,1,1,1,1] => 324
[5,3,3,3] => 180
[5,3,3,2,1] => 690
[5,3,3,1,1,1] => 546
[5,3,2,2,2] => 408
[5,3,2,2,1,1] => 819
[5,3,2,1,1,1,1] => 702
[5,3,1,1,1,1,1,1] => 333
[5,2,2,2,2,1] => 315
[5,2,2,2,1,1,1] => 420
[5,2,2,1,1,1,1,1] => 369
[5,2,1,1,1,1,1,1,1] => 234
[5,1,1,1,1,1,1,1,1,1] => 87
[4,4,4,2] => 150
[4,4,4,1,1] => 180
[4,4,3,3] => 150
[4,4,3,2,1] => 540
[4,4,3,1,1,1] => 414
[4,4,2,2,2] => 255
[4,4,2,2,1,1] => 505
[4,4,2,1,1,1,1] => 414
[4,4,1,1,1,1,1,1] => 180
[4,3,3,3,1] => 270
[4,3,3,2,2] => 345
[4,3,3,2,1,1] => 645
[4,3,3,1,1,1,1] => 415
[4,3,2,2,2,1] => 540
[4,3,2,2,1,1,1] => 687
[4,3,2,1,1,1,1,1] => 534
[4,3,1,1,1,1,1,1,1] => 249
[4,2,2,2,2,2] => 150
[4,2,2,2,2,1,1] => 335
[4,2,2,2,1,1,1,1] => 372
[4,2,2,1,1,1,1,1,1] => 309
[4,2,1,1,1,1,1,1,1,1] => 194
[4,1,1,1,1,1,1,1,1,1,1] => 75
[3,3,3,3,2] => 105
[3,3,3,3,1,1] => 155
[3,3,3,2,2,1] => 270
[3,3,3,2,1,1,1] => 318
[3,3,3,1,1,1,1,1] => 189
[3,3,2,2,2,2] => 150
[3,3,2,2,2,1,1] => 336
[3,3,2,2,1,1,1,1] => 357
[3,3,2,1,1,1,1,1,1] => 268
[3,3,1,1,1,1,1,1,1,1] => 129
[3,2,2,2,2,2,1] => 174
[3,2,2,2,2,1,1,1] => 255
[3,2,2,2,1,1,1,1,1] => 260
[3,2,2,1,1,1,1,1,1,1] => 213
[3,2,1,1,1,1,1,1,1,1,1] => 138
[3,1,1,1,1,1,1,1,1,1,1,1] => 59
[2,2,2,2,2,2,2] => 36
[2,2,2,2,2,2,1,1] => 84
[2,2,2,2,2,1,1,1,1] => 105
[2,2,2,2,1,1,1,1,1,1] => 105
[2,2,2,1,1,1,1,1,1,1,1] => 90
[2,2,1,1,1,1,1,1,1,1,1,1] => 66
[2,1,1,1,1,1,1,1,1,1,1,1,1] => 39
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 15
[15] => 16
[14,1] => 42
[13,2] => 72
[13,1,1] => 64
[12,3] => 100
[12,2,1] => 152
[12,1,1,1] => 82
[11,4] => 120
[11,3,1] => 240
[11,2,2] => 144
[11,2,1,1] => 216
[11,1,1,1,1] => 96
[10,5] => 126
[10,4,1] => 304
[10,3,2] => 308
[10,3,1,1] => 354
[10,2,2,1] => 282
[10,2,1,1,1] => 264
[10,1,1,1,1,1] => 106
[9,6] => 112
[9,5,1] => 320
[9,4,2] => 432
[9,4,1,1] => 448
[9,3,3] => 224
[9,3,2,1] => 628
[9,3,1,1,1] => 432
[9,2,2,2] => 208
[9,2,2,1,1] => 384
[9,2,1,1,1,1] => 296
[9,1,1,1,1,1,1] => 112
[8,7] => 72
[8,6,1] => 264
[8,5,2] => 456
[8,5,1,1] => 450
[8,4,3] => 408
[8,4,2,1] => 870
[8,4,1,1,1] => 528
[8,3,3,1] => 510
[8,3,2,2] => 504
[8,3,2,1,1] => 852
[8,3,1,1,1,1] => 474
[8,2,2,2,1] => 384
[8,2,2,1,1,1] => 450
[8,2,1,1,1,1,1] => 312
[8,1,1,1,1,1,1,1] => 114
[7,7,1] => 112
[7,6,2] => 320
[7,6,1,1] => 312
[7,5,3] => 432
[7,5,2,1] => 840
[7,5,1,1,1] => 480
[7,4,4] => 224
[7,4,3,1] => 900
[7,4,2,2] => 692
[7,4,2,1,1] => 1116
[7,4,1,1,1,1] => 544
[7,3,3,2] => 540
[7,3,3,1,1] => 708
[7,3,2,2,1] => 924
[7,3,2,1,1,1] => 964
[7,3,1,1,1,1,1] => 480
[7,2,2,2,2] => 240
[7,2,2,2,1,1] => 496
[7,2,2,1,1,1,1] => 480
[7,2,1,1,1,1,1,1] => 312
[7,1,1,1,1,1,1,1,1] => 112
[6,6,3] => 200
[6,6,2,1] => 380
[6,6,1,1,1] => 216
[6,5,4] => 250
[6,5,3,1] => 786
[6,5,2,2] => 562
[6,5,2,1,1] => 888
[6,5,1,1,1,1] => 410
[6,4,4,1] => 472
[6,4,3,2] => 896
[6,4,3,1,1] => 1128
[6,4,2,2,1] => 1152
[6,4,2,1,1,1] => 1134
[6,4,1,1,1,1,1] => 496
[6,3,3,3] => 264
[6,3,3,2,1] => 992
[6,3,3,1,1,1] => 776
[6,3,2,2,2] => 568
[6,3,2,2,1,1] => 1134
[6,3,2,1,1,1,1] => 964
[6,3,1,1,1,1,1,1] => 450
[6,2,2,2,2,1] => 410
[6,2,2,2,1,1,1] => 544
[6,2,2,1,1,1,1,1] => 474
[6,2,1,1,1,1,1,1,1] => 296
[6,1,1,1,1,1,1,1,1,1] => 106
[5,5,5] => 56
[5,5,4,1] => 324
[5,5,3,2] => 492
[5,5,3,1,1] => 612
[5,5,2,2,1] => 588
[5,5,2,1,1,1] => 568
[5,5,1,1,1,1,1] => 240
[5,4,4,2] => 420
[5,4,4,1,1] => 492
[5,4,3,3] => 380
[5,4,3,2,1] => 1332
[5,4,3,1,1,1] => 992
[5,4,2,2,2] => 588
[5,4,2,2,1,1] => 1152
[5,4,2,1,1,1,1] => 924
[5,4,1,1,1,1,1,1] => 384
[5,3,3,3,1] => 492
[5,3,3,2,2] => 612
[5,3,3,2,1,1] => 1128
[5,3,3,1,1,1,1] => 708
[5,3,2,2,2,1] => 888
[5,3,2,2,1,1,1] => 1116
[5,3,2,1,1,1,1,1] => 852
[5,3,1,1,1,1,1,1,1] => 384
[5,2,2,2,2,2] => 216
[5,2,2,2,2,1,1] => 480
[5,2,2,2,1,1,1,1] => 528
[5,2,2,1,1,1,1,1,1] => 432
[5,2,1,1,1,1,1,1,1,1] => 264
[5,1,1,1,1,1,1,1,1,1,1] => 96
[4,4,4,3] => 140
[4,4,4,2,1] => 380
[4,4,4,1,1,1] => 264
[4,4,3,3,1] => 420
[4,4,3,2,2] => 492
[4,4,3,2,1,1] => 896
[4,4,3,1,1,1,1] => 540
[4,4,2,2,2,1] => 562
[4,4,2,2,1,1,1] => 692
[4,4,2,1,1,1,1,1] => 504
[4,4,1,1,1,1,1,1,1] => 208
[4,3,3,3,2] => 324
[4,3,3,3,1,1] => 472
[4,3,3,2,2,1] => 786
[4,3,3,2,1,1,1] => 900
[4,3,3,1,1,1,1,1] => 510
[4,3,2,2,2,2] => 380
[4,3,2,2,2,1,1] => 840
[4,3,2,2,1,1,1,1] => 870
[4,3,2,1,1,1,1,1,1] => 628
[4,3,1,1,1,1,1,1,1,1] => 282
[4,2,2,2,2,2,1] => 312
[4,2,2,2,2,1,1,1] => 450
[4,2,2,2,1,1,1,1,1] => 448
[4,2,2,1,1,1,1,1,1,1] => 354
[4,2,1,1,1,1,1,1,1,1,1] => 216
[4,1,1,1,1,1,1,1,1,1,1,1] => 82
[3,3,3,3,3] => 56
[3,3,3,3,2,1] => 250
[3,3,3,3,1,1,1] => 224
[3,3,3,2,2,2] => 200
[3,3,3,2,2,1,1] => 432
[3,3,3,2,1,1,1,1] => 408
[3,3,3,1,1,1,1,1,1] => 224
[3,3,2,2,2,2,1] => 320
[3,3,2,2,2,1,1,1] => 456
[3,3,2,2,1,1,1,1,1] => 432
[3,3,2,1,1,1,1,1,1,1] => 308
[3,3,1,1,1,1,1,1,1,1,1] => 144
[3,2,2,2,2,2,2] => 112
[3,2,2,2,2,2,1,1] => 264
[3,2,2,2,2,1,1,1,1] => 320
[3,2,2,2,1,1,1,1,1,1] => 304
[3,2,2,1,1,1,1,1,1,1,1] => 240
[3,2,1,1,1,1,1,1,1,1,1,1] => 152
[3,1,1,1,1,1,1,1,1,1,1,1,1] => 64
[2,2,2,2,2,2,2,1] => 72
[2,2,2,2,2,2,1,1,1] => 112
[2,2,2,2,2,1,1,1,1,1] => 126
[2,2,2,2,1,1,1,1,1,1,1] => 120
[2,2,2,1,1,1,1,1,1,1,1,1] => 100
[2,2,1,1,1,1,1,1,1,1,1,1,1] => 72
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 42
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 16
-----------------------------------------------------------------------------
Created: May 29, 2019 at 08:07 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: May 29, 2019 at 11:38 by Martin Rubey