***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * 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