***************************************************************************** * 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: St001900 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The number of distinct irreducible representations contained in the higher Lie character for an integer partition. ----------------------------------------------------------------------------- References: [1] (service unreachable) [[MathSciNet:1984625]] ----------------------------------------------------------------------------- Code: def statistic(la): s = SymmetricFunctions(ZZ).s() return sum(1 for _, c in s.higher_lie_character(la)) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [2] => 1 [1,1] => 1 [3] => 1 [2,1] => 2 [1,1,1] => 1 [4] => 2 [3,1] => 3 [2,2] => 2 [2,1,1] => 2 [1,1,1,1] => 1 [5] => 5 [4,1] => 5 [3,2] => 4 [3,1,1] => 4 [2,2,1] => 4 [2,1,1,1] => 2 [1,1,1,1,1] => 1 [6] => 8 [5,1] => 9 [4,2] => 7 [4,1,1] => 7 [3,3] => 4 [3,2,1] => 8 [3,1,1,1] => 4 [2,2,2] => 3 [2,2,1,1] => 5 [2,1,1,1,1] => 2 [1,1,1,1,1,1] => 1 [7] => 13 [6,1] => 13 [5,2] => 12 [5,1,1] => 12 [4,3] => 11 [4,2,1] => 12 [4,1,1,1] => 8 [3,3,1] => 9 [3,2,2] => 9 [3,2,1,1] => 11 [3,1,1,1,1] => 4 [2,2,2,1] => 7 [2,2,1,1,1] => 5 [2,1,1,1,1,1] => 2 [1,1,1,1,1,1,1] => 1 [8] => 20 [7,1] => 20 [6,2] => 19 [6,1,1] => 18 [5,3] => 18 [5,2,1] => 19 [5,1,1,1] => 15 [4,4] => 13 [4,3,1] => 18 [4,2,2] => 14 [4,2,1,1] => 18 [4,1,1,1,1] => 8 [3,3,2] => 12 [3,3,1,1] => 14 [3,2,2,1] => 16 [3,2,1,1,1] => 13 [3,1,1,1,1,1] => 4 [2,2,2,2] => 5 [2,2,2,1,1] => 9 [2,2,1,1,1,1] => 5 [2,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1] => 1 [9] => 28 [8,1] => 28 [7,2] => 27 [7,1,1] => 27 [6,3] => 26 [6,2,1] => 27 [6,1,1,1] => 22 [5,4] => 26 [5,3,1] => 26 [5,2,2] => 24 [5,2,1,1] => 26 [5,1,1,1,1] => 16 [4,4,1] => 23 [4,3,2] => 24 [4,3,1,1] => 24 [4,2,2,1] => 24 [4,2,1,1,1] => 21 [4,1,1,1,1,1] => 8 [3,3,3] => 15 [3,3,2,1] => 22 [3,3,1,1,1] => 17 [3,2,2,2] => 17 [3,2,2,1,1] => 23 [3,2,1,1,1,1] => 13 [3,1,1,1,1,1,1] => 4 [2,2,2,2,1] => 12 [2,2,2,1,1,1] => 10 [2,2,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1] => 1 [10] => 40 [9,1] => 40 [8,2] => 39 [8,1,1] => 39 [7,3] => 38 [7,2,1] => 39 [7,1,1,1] => 34 [6,4] => 38 [6,3,1] => 38 [6,2,2] => 36 [6,2,1,1] => 38 [6,1,1,1,1] => 25 [5,5] => 35 [5,4,1] => 38 [5,3,2] => 36 [5,3,1,1] => 36 [5,2,2,1] => 36 [5,2,1,1,1] => 33 [5,1,1,1,1,1] => 16 [4,4,2] => 32 [4,4,1,1] => 32 [4,3,3] => 31 [4,3,2,1] => 36 [4,3,1,1,1] => 31 [4,2,2,2] => 29 [4,2,2,1,1] => 34 [4,2,1,1,1,1] => 23 [4,1,1,1,1,1,1] => 8 [3,3,3,1] => 26 [3,3,2,2] => 27 [3,3,2,1,1] => 31 [3,3,1,1,1,1] => 18 [3,2,2,2,1] => 30 [3,2,2,1,1,1] => 29 [3,2,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1] => 4 [2,2,2,2,2] => 7 [2,2,2,2,1,1] => 17 [2,2,2,1,1,1,1] => 10 [2,2,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1] => 1 [11] => 54 [10,1] => 54 [9,2] => 53 [9,1,1] => 53 [8,3] => 52 [8,2,1] => 53 [8,1,1,1] => 48 [7,4] => 52 [7,3,1] => 52 [7,2,2] => 50 [7,2,1,1] => 52 [7,1,1,1,1] => 38 [6,5] => 52 [6,4,1] => 52 [6,3,2] => 50 [6,3,1,1] => 50 [6,2,2,1] => 50 [6,2,1,1,1] => 47 [6,1,1,1,1,1] => 26 [5,5,1] => 50 [5,4,2] => 50 [5,4,1,1] => 50 [5,3,3] => 46 [5,3,2,1] => 50 [5,3,1,1,1] => 45 [5,2,2,2] => 44 [5,2,2,1,1] => 49 [5,2,1,1,1,1] => 37 [5,1,1,1,1,1,1] => 16 [4,4,3] => 46 [4,4,2,1] => 48 [4,4,1,1,1] => 40 [4,3,3,1] => 46 [4,3,2,2] => 46 [4,3,2,1,1] => 48 [4,3,1,1,1,1] => 35 [4,2,2,2,1] => 44 [4,2,2,1,1,1] => 43 [4,2,1,1,1,1,1] => 23 [4,1,1,1,1,1,1,1] => 8 [3,3,3,2] => 36 [3,3,3,1,1] => 38 [3,3,2,2,1] => 43 [3,3,2,1,1,1] => 40 [3,3,1,1,1,1,1] => 18 [3,2,2,2,2] => 31 [3,2,2,2,1,1] => 43 [3,2,2,1,1,1,1] => 31 [3,2,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1] => 4 [2,2,2,2,2,1] => 19 [2,2,2,2,1,1,1] => 19 [2,2,2,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1,1] => 1 [12] => 75 [11,1] => 75 [10,2] => 74 [10,1,1] => 74 [9,3] => 73 [9,2,1] => 74 [9,1,1,1] => 68 [8,4] => 73 [8,3,1] => 73 [8,2,2] => 71 [8,2,1,1] => 73 [8,1,1,1,1] => 56 [7,5] => 73 [7,4,1] => 73 [7,3,2] => 71 [7,3,1,1] => 71 [7,2,2,1] => 71 [7,2,1,1,1] => 67 [7,1,1,1,1,1] => 41 [6,6] => 71 [6,5,1] => 73 [6,4,2] => 71 [6,4,1,1] => 71 [6,3,3] => 66 [6,3,2,1] => 71 [6,3,1,1,1] => 65 [6,2,2,2] => 65 [6,2,2,1,1] => 70 [6,2,1,1,1,1] => 55 [6,1,1,1,1,1,1] => 26 [5,5,2] => 68 [5,5,1,1] => 69 [5,4,3] => 69 [5,4,2,1] => 71 [5,4,1,1,1] => 65 [5,3,3,1] => 67 [5,3,2,2] => 67 [5,3,2,1,1] => 69 [5,3,1,1,1,1] => 53 [5,2,2,2,1] => 65 [5,2,2,1,1,1] => 64 [5,2,1,1,1,1,1] => 39 [5,1,1,1,1,1,1,1] => 16 [4,4,4] => 59 [4,4,3,1] => 67 [4,4,2,2] => 63 [4,4,2,1,1] => 65 [4,4,1,1,1,1] => 48 [4,3,3,2] => 64 [4,3,3,1,1] => 63 [4,3,2,2,1] => 67 [4,3,2,1,1,1] => 63 [4,3,1,1,1,1,1] => 37 [4,2,2,2,2] => 49 [4,2,2,2,1,1] => 64 [4,2,2,1,1,1,1] => 49 [4,2,1,1,1,1,1,1] => 23 [4,1,1,1,1,1,1,1,1] => 8 [3,3,3,3] => 39 [3,3,3,2,1] => 56 [3,3,3,1,1,1] => 52 [3,3,2,2,2] => 49 [3,3,2,2,1,1] => 61 [3,3,2,1,1,1,1] => 46 [3,3,1,1,1,1,1,1] => 18 [3,2,2,2,2,1] => 52 [3,2,2,2,1,1,1] => 56 [3,2,2,1,1,1,1,1] => 31 [3,2,1,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1,1] => 4 [2,2,2,2,2,2] => 11 [2,2,2,2,2,1,1] => 28 [2,2,2,2,1,1,1,1] => 20 [2,2,2,1,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1,1,1] => 1 [13] => 99 [12,1] => 99 [11,2] => 98 [11,1,1] => 98 [10,3] => 97 [10,2,1] => 98 [10,1,1,1] => 92 [9,4] => 97 [9,3,1] => 97 [9,2,2] => 95 [9,2,1,1] => 97 [9,1,1,1,1] => 78 [8,5] => 97 [8,4,1] => 97 [8,3,2] => 95 [8,3,1,1] => 95 [8,2,2,1] => 95 [8,2,1,1,1] => 91 [8,1,1,1,1,1] => 60 [7,6] => 97 [7,5,1] => 97 [7,4,2] => 95 [7,4,1,1] => 95 [7,3,3] => 91 [7,3,2,1] => 95 [7,3,1,1,1] => 89 [7,2,2,2] => 89 [7,2,2,1,1] => 94 [7,2,1,1,1,1] => 77 [7,1,1,1,1,1,1] => 42 [6,6,1] => 95 [6,5,2] => 95 [6,5,1,1] => 95 [6,4,3] => 93 [6,4,2,1] => 95 [6,4,1,1,1] => 89 [6,3,3,1] => 91 [6,3,2,2] => 91 [6,3,2,1,1] => 93 [6,3,1,1,1,1] => 75 [6,2,2,2,1] => 89 [6,2,2,1,1,1] => 88 [6,2,1,1,1,1,1] => 59 [6,1,1,1,1,1,1,1] => 26 [5,5,3] => 91 [5,5,2,1] => 93 [5,5,1,1,1] => 87 [5,4,4] => 91 [5,4,3,1] => 93 [5,4,2,2] => 91 [5,4,2,1,1] => 93 [5,4,1,1,1,1] => 75 [5,3,3,2] => 88 [5,3,3,1,1] => 88 [5,3,2,2,1] => 91 [5,3,2,1,1,1] => 87 [5,3,1,1,1,1,1] => 57 [5,2,2,2,2] => 77 [5,2,2,2,1,1] => 88 [5,2,2,1,1,1,1] => 74 [5,2,1,1,1,1,1,1] => 39 [5,1,1,1,1,1,1,1,1] => 16 [4,4,4,1] => 87 [4,4,3,2] => 88 [4,4,3,1,1] => 88 [4,4,2,2,1] => 88 [4,4,2,1,1,1] => 83 [4,4,1,1,1,1,1] => 51 [4,3,3,3] => 78 [4,3,3,2,1] => 88 [4,3,3,1,1,1] => 80 [4,3,2,2,2] => 83 [4,3,2,2,1,1] => 89 [4,3,2,1,1,1,1] => 73 [4,3,1,1,1,1,1,1] => 37 [4,2,2,2,2,1] => 77 [4,2,2,2,1,1,1] => 82 [4,2,2,1,1,1,1,1] => 51 [4,2,1,1,1,1,1,1,1] => 23 [4,1,1,1,1,1,1,1,1,1] => 8 [3,3,3,3,1] => 67 [3,3,3,2,2] => 72 [3,3,3,2,1,1] => 78 [3,3,3,1,1,1,1] => 62 [3,3,2,2,2,1] => 78 [3,3,2,2,1,1,1] => 79 [3,3,2,1,1,1,1,1] => 48 [3,3,1,1,1,1,1,1,1] => 18 [3,2,2,2,2,2] => 53 [3,2,2,2,2,1,1] => 76 [3,2,2,2,1,1,1,1] => 63 [3,2,2,1,1,1,1,1,1] => 31 [3,2,1,1,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1,1,1] => 4 [2,2,2,2,2,2,1] => 30 [2,2,2,2,2,1,1,1] => 33 [2,2,2,2,1,1,1,1,1] => 20 [2,2,2,1,1,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 1 [14] => 133 [13,1] => 133 [12,2] => 132 [12,1,1] => 132 [11,3] => 131 [11,2,1] => 132 [11,1,1,1] => 125 [10,4] => 131 [10,3,1] => 131 [10,2,2] => 129 [10,2,1,1] => 131 [10,1,1,1,1] => 109 [9,5] => 131 [9,4,1] => 131 [9,3,2] => 129 [9,3,1,1] => 129 [9,2,2,1] => 129 [9,2,1,1,1] => 124 [9,1,1,1,1,1] => 86 [8,6] => 131 [8,5,1] => 131 [8,4,2] => 129 [8,4,1,1] => 129 [8,3,3] => 125 [8,3,2,1] => 129 [8,3,1,1,1] => 122 [8,2,2,2] => 123 [8,2,2,1,1] => 128 [8,2,1,1,1,1] => 108 [8,1,1,1,1,1,1] => 63 [7,7] => 129 [7,6,1] => 131 [7,5,2] => 129 [7,5,1,1] => 129 [7,4,3] => 127 [7,4,2,1] => 129 [7,4,1,1,1] => 122 [7,3,3,1] => 125 [7,3,2,2] => 125 [7,3,2,1,1] => 127 [7,3,1,1,1,1] => 106 [7,2,2,2,1] => 123 [7,2,2,1,1,1] => 121 [7,2,1,1,1,1,1] => 85 [7,1,1,1,1,1,1,1] => 42 [6,6,2] => 127 [6,6,1,1] => 127 [6,5,3] => 127 [6,5,2,1] => 129 [6,5,1,1,1] => 122 [6,4,4] => 125 [6,4,3,1] => 127 [6,4,2,2] => 125 [6,4,2,1,1] => 127 [6,4,1,1,1,1] => 106 [6,3,3,2] => 122 [6,3,3,1,1] => 121 [6,3,2,2,1] => 125 [6,3,2,1,1,1] => 120 [6,3,1,1,1,1,1] => 83 [6,2,2,2,2] => 111 [6,2,2,2,1,1] => 122 [6,2,2,1,1,1,1] => 105 [6,2,1,1,1,1,1,1] => 61 [6,1,1,1,1,1,1,1,1] => 26 [5,5,4] => 125 [5,5,3,1] => 125 [5,5,2,2] => 121 [5,5,2,1,1] => 125 [5,5,1,1,1,1] => 104 [5,4,4,1] => 125 [5,4,3,2] => 124 [5,4,3,1,1] => 124 [5,4,2,2,1] => 125 [5,4,2,1,1,1] => 120 [5,4,1,1,1,1,1] => 83 [5,3,3,3] => 111 [5,3,3,2,1] => 122 [5,3,3,1,1,1] => 114 [5,3,2,2,2] => 117 [5,3,2,2,1,1] => 123 [5,3,2,1,1,1,1] => 104 [5,3,1,1,1,1,1,1] => 59 [5,2,2,2,2,1] => 111 [5,2,2,2,1,1,1] => 115 [5,2,2,1,1,1,1,1] => 81 [5,2,1,1,1,1,1,1,1] => 39 [5,1,1,1,1,1,1,1,1,1] => 16 [4,4,4,2] => 115 [4,4,4,1,1] => 115 [4,4,3,3] => 113 [4,4,3,2,1] => 122 [4,4,3,1,1,1] => 114 [4,4,2,2,2] => 110 [4,4,2,2,1,1] => 119 [4,4,2,1,1,1,1] => 100 [4,4,1,1,1,1,1,1] => 52 [4,3,3,3,1] => 111 [4,3,3,2,2] => 114 [4,3,3,2,1,1] => 119 [4,3,3,1,1,1,1] => 97 [4,3,2,2,2,1] => 117 [4,3,2,2,1,1,1] => 116 [4,3,2,1,1,1,1,1] => 80 [4,3,1,1,1,1,1,1,1] => 37 [4,2,2,2,2,2] => 87 [4,2,2,2,2,1,1] => 109 [4,2,2,2,1,1,1,1] => 98 [4,2,2,1,1,1,1,1,1] => 51 [4,2,1,1,1,1,1,1,1,1] => 23 [4,1,1,1,1,1,1,1,1,1,1] => 8 [3,3,3,3,2] => 92 [3,3,3,3,1,1] => 95 [3,3,3,2,2,1] => 105 [3,3,3,2,1,1,1] => 104 [3,3,3,1,1,1,1,1] => 66 [3,3,2,2,2,2] => 91 [3,3,2,2,2,1,1] => 108 [3,3,2,2,1,1,1,1] => 95 [3,3,2,1,1,1,1,1,1] => 48 [3,3,1,1,1,1,1,1,1,1] => 18 [3,2,2,2,2,2,1] => 88 [3,2,2,2,2,1,1,1] => 102 [3,2,2,2,1,1,1,1,1] => 65 [3,2,2,1,1,1,1,1,1,1] => 31 [3,2,1,1,1,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1,1,1,1] => 4 [2,2,2,2,2,2,2] => 15 [2,2,2,2,2,2,1,1] => 47 [2,2,2,2,2,1,1,1,1] => 35 [2,2,2,2,1,1,1,1,1,1] => 20 [2,2,2,1,1,1,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1 [15] => 174 [14,1] => 174 [13,2] => 173 [13,1,1] => 173 [12,3] => 172 [12,2,1] => 173 [12,1,1,1] => 166 [11,4] => 172 [11,3,1] => 172 [11,2,2] => 170 [11,2,1,1] => 172 [11,1,1,1,1] => 147 [10,5] => 172 [10,4,1] => 172 [10,3,2] => 170 [10,3,1,1] => 170 [10,2,2,1] => 170 [10,2,1,1,1] => 165 [10,1,1,1,1,1] => 120 [9,6] => 172 [9,5,1] => 172 [9,4,2] => 170 [9,4,1,1] => 170 [9,3,3] => 166 [9,3,2,1] => 170 [9,3,1,1,1] => 163 [9,2,2,2] => 164 [9,2,2,1,1] => 169 [9,2,1,1,1,1] => 146 [9,1,1,1,1,1,1] => 90 [8,7] => 172 [8,6,1] => 172 [8,5,2] => 170 [8,5,1,1] => 170 [8,4,3] => 168 [8,4,2,1] => 170 [8,4,1,1,1] => 163 [8,3,3,1] => 166 [8,3,2,2] => 166 [8,3,2,1,1] => 168 [8,3,1,1,1,1] => 144 [8,2,2,2,1] => 164 [8,2,2,1,1,1] => 162 [8,2,1,1,1,1,1] => 119 [8,1,1,1,1,1,1,1] => 64 [7,7,1] => 170 [7,6,2] => 170 [7,6,1,1] => 170 [7,5,3] => 168 [7,5,2,1] => 170 [7,5,1,1,1] => 163 [7,4,4] => 166 [7,4,3,1] => 168 [7,4,2,2] => 166 [7,4,2,1,1] => 168 [7,4,1,1,1,1] => 144 [7,3,3,2] => 163 [7,3,3,1,1] => 163 [7,3,2,2,1] => 166 [7,3,2,1,1,1] => 161 [7,3,1,1,1,1,1] => 117 [7,2,2,2,2] => 152 [7,2,2,2,1,1] => 163 [7,2,2,1,1,1,1] => 143 [7,2,1,1,1,1,1,1] => 89 [7,1,1,1,1,1,1,1,1] => 42 [6,6,3] => 166 [6,6,2,1] => 168 [6,6,1,1,1] => 160 [6,5,4] => 168 [6,5,3,1] => 168 [6,5,2,2] => 166 [6,5,2,1,1] => 168 [6,5,1,1,1,1] => 144 [6,4,4,1] => 166 [6,4,3,2] => 165 [6,4,3,1,1] => 165 [6,4,2,2,1] => 166 [6,4,2,1,1,1] => 161 [6,4,1,1,1,1,1] => 117 [6,3,3,3] => 152 [6,3,3,2,1] => 163 [6,3,3,1,1,1] => 154 [6,3,2,2,2] => 158 [6,3,2,2,1,1] => 164 [6,3,2,1,1,1,1] => 142 [6,3,1,1,1,1,1,1] => 87 [6,2,2,2,2,1] => 152 [6,2,2,2,1,1,1] => 156 [6,2,2,1,1,1,1,1] => 116 [6,2,1,1,1,1,1,1,1] => 61 [6,1,1,1,1,1,1,1,1,1] => 26 [5,5,5] => 162 [5,5,4,1] => 166 [5,5,3,2] => 163 [5,5,3,1,1] => 163 [5,5,2,2,1] => 163 [5,5,2,1,1,1] => 159 [5,5,1,1,1,1,1] => 114 [5,4,4,2] => 163 [5,4,4,1,1] => 163 [5,4,3,3] => 160 [5,4,3,2,1] => 165 [5,4,3,1,1,1] => 157 [5,4,2,2,2] => 158 [5,4,2,2,1,1] => 164 [5,4,2,1,1,1,1] => 142 [5,4,1,1,1,1,1,1] => 87 [5,3,3,3,1] => 152 [5,3,3,2,2] => 156 [5,3,3,2,1,1] => 160 [5,3,3,1,1,1,1] => 136 [5,3,2,2,2,1] => 158 [5,3,2,2,1,1,1] => 157 [5,3,2,1,1,1,1,1] => 115 [5,3,1,1,1,1,1,1,1] => 59 [5,2,2,2,2,2] => 129 [5,2,2,2,2,1,1] => 151 [5,2,2,2,1,1,1,1] => 137 [5,2,2,1,1,1,1,1,1] => 83 [5,2,1,1,1,1,1,1,1,1] => 39 [5,1,1,1,1,1,1,1,1,1,1] => 16 [4,4,4,3] => 154 [4,4,4,2,1] => 158 [4,4,4,1,1,1] => 147 [4,4,3,3,1] => 156 [4,4,3,2,2] => 156 [4,4,3,2,1,1] => 160 [4,4,3,1,1,1,1] => 135 [4,4,2,2,2,1] => 153 [4,4,2,2,1,1,1] => 153 [4,4,2,1,1,1,1,1] => 111 [4,4,1,1,1,1,1,1,1] => 52 [4,3,3,3,2] => 147 [4,3,3,3,1,1] => 148 [4,3,3,2,2,1] => 156 [4,3,3,2,1,1,1] => 152 [4,3,3,1,1,1,1,1] => 108 [4,3,2,2,2,2] => 143 [4,3,2,2,2,1,1] => 156 [4,3,2,2,1,1,1,1] => 138 [4,3,2,1,1,1,1,1,1] => 83 [4,3,1,1,1,1,1,1,1,1] => 37 [4,2,2,2,2,2,1] => 129 [4,2,2,2,2,1,1,1] => 142 [4,2,2,2,1,1,1,1,1] => 105 [4,2,2,1,1,1,1,1,1,1] => 51 [4,2,1,1,1,1,1,1,1,1,1] => 23 [4,1,1,1,1,1,1,1,1,1,1,1] => 8 [3,3,3,3,3] => 109 [3,3,3,3,2,1] => 133 [3,3,3,3,1,1,1] => 122 [3,3,3,2,2,2] => 131 [3,3,3,2,2,1,1] => 144 [3,3,3,2,1,1,1,1] => 126 [3,3,3,1,1,1,1,1,1] => 67 [3,3,2,2,2,2,1] => 135 [3,3,2,2,2,1,1,1] => 141 [3,3,2,2,1,1,1,1,1] => 102 [3,3,2,1,1,1,1,1,1,1] => 48 [3,3,1,1,1,1,1,1,1,1,1] => 18 [3,2,2,2,2,2,2] => 86 [3,2,2,2,2,2,1,1] => 128 [3,2,2,2,2,1,1,1,1] => 119 [3,2,2,2,1,1,1,1,1,1] => 65 [3,2,2,1,1,1,1,1,1,1,1] => 31 [3,2,1,1,1,1,1,1,1,1,1,1] => 13 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 4 [2,2,2,2,2,2,2,1] => 45 [2,2,2,2,2,2,1,1,1] => 57 [2,2,2,2,2,1,1,1,1,1] => 36 [2,2,2,2,1,1,1,1,1,1,1] => 20 [2,2,2,1,1,1,1,1,1,1,1,1] => 10 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 5 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 2 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 1 [16] => 229 [15,1] => 229 [14,2] => 228 [14,1,1] => 228 [13,3] => 227 [13,2,1] => 228 [13,1,1,1] => 220 [12,4] => 227 [12,3,1] => 227 [12,2,2] => 225 [12,2,1,1] => 227 [12,1,1,1,1] => 199 [11,5] => 227 [11,4,1] => 227 [11,3,2] => 225 [11,3,1,1] => 225 [11,2,2,1] => 225 [11,2,1,1,1] => 219 [11,1,1,1,1,1] => 165 [10,6] => 227 [10,5,1] => 227 [10,4,2] => 225 [10,4,1,1] => 225 [10,3,3] => 221 [10,3,2,1] => 225 [10,3,1,1,1] => 217 [10,2,2,2] => 219 [10,2,2,1,1] => 224 [10,2,1,1,1,1] => 198 [10,1,1,1,1,1,1] => 128 [9,7] => 227 [9,6,1] => 227 [9,5,2] => 225 [9,5,1,1] => 225 [9,4,3] => 223 [9,4,2,1] => 225 [9,4,1,1,1] => 217 [9,3,3,1] => 221 [9,3,2,2] => 221 [9,3,2,1,1] => 223 [9,3,1,1,1,1] => 196 [9,2,2,2,1] => 219 [9,2,2,1,1,1] => 216 [9,2,1,1,1,1,1] => 164 [9,1,1,1,1,1,1,1] => 93 [8,8] => 225 [8,7,1] => 227 [8,6,2] => 225 [8,6,1,1] => 225 [8,5,3] => 223 [8,5,2,1] => 225 [8,5,1,1,1] => 217 [8,4,4] => 221 [8,4,3,1] => 223 [8,4,2,2] => 221 [8,4,2,1,1] => 223 [8,4,1,1,1,1] => 196 [8,3,3,2] => 218 [8,3,3,1,1] => 218 [8,3,2,2,1] => 221 [8,3,2,1,1,1] => 215 [8,3,1,1,1,1,1] => 162 [8,2,2,2,2] => 207 [8,2,2,2,1,1] => 218 [8,2,2,1,1,1,1] => 195 [8,2,1,1,1,1,1,1] => 127 [8,1,1,1,1,1,1,1,1] => 64 [7,7,2] => 223 [7,7,1,1] => 223 [7,6,3] => 223 [7,6,2,1] => 225 [7,6,1,1,1] => 217 [7,5,4] => 223 [7,5,3,1] => 223 [7,5,2,2] => 221 [7,5,2,1,1] => 223 [7,5,1,1,1,1] => 196 [7,4,4,1] => 221 [7,4,3,2] => 220 [7,4,3,1,1] => 220 [7,4,2,2,1] => 221 [7,4,2,1,1,1] => 215 [7,4,1,1,1,1,1] => 162 [7,3,3,3] => 206 [7,3,3,2,1] => 218 [7,3,3,1,1,1] => 209 [7,3,2,2,2] => 213 [7,3,2,2,1,1] => 219 [7,3,2,1,1,1,1] => 194 [7,3,1,1,1,1,1,1] => 125 [7,2,2,2,2,1] => 207 [7,2,2,2,1,1,1] => 210 [7,2,2,1,1,1,1,1] => 161 [7,2,1,1,1,1,1,1,1] => 91 [7,1,1,1,1,1,1,1,1,1] => 42 [6,6,4] => 221 [6,6,3,1] => 221 [6,6,2,2] => 218 [6,6,2,1,1] => 221 [6,6,1,1,1,1] => 193 [6,5,5] => 221 [6,5,4,1] => 223 [6,5,3,2] => 220 [6,5,3,1,1] => 220 [6,5,2,2,1] => 221 [6,5,2,1,1,1] => 215 [6,5,1,1,1,1,1] => 162 [6,4,4,2] => 218 [6,4,4,1,1] => 218 [6,4,3,3] => 215 [6,4,3,2,1] => 220 [6,4,3,1,1,1] => 211 [6,4,2,2,2] => 213 [6,4,2,2,1,1] => 219 [6,4,2,1,1,1,1] => 194 [6,4,1,1,1,1,1,1] => 125 [6,3,3,3,1] => 206 ----------------------------------------------------------------------------- Created: May 25, 2023 at 14:37 by Martin Rubey ----------------------------------------------------------------------------- Last Updated: May 25, 2023 at 14:37 by Martin Rubey