***************************************************************************** * 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: St000869 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The sum of the hook lengths of an integer partition. For a cell in the Ferrers diagram of a partition, the hook length is given by the number of boxes to its right plus the number of boxes below + 1. This statistic is the sum of all hook lengths of a partition. ----------------------------------------------------------------------------- References: [1] Amdeberhan, T. Average on sum of hooks in a rectangle [[MathOverflow:273095]] ----------------------------------------------------------------------------- Code: def statistic(L): return sum(L.hooks()) ----------------------------------------------------------------------------- Statistic values: [] => 0 [1] => 1 [2] => 3 [1,1] => 3 [3] => 6 [2,1] => 5 [1,1,1] => 6 [4] => 10 [3,1] => 8 [2,2] => 8 [2,1,1] => 8 [1,1,1,1] => 10 [5] => 15 [4,1] => 12 [3,2] => 11 [3,1,1] => 11 [2,2,1] => 11 [2,1,1,1] => 12 [1,1,1,1,1] => 15 [6] => 21 [5,1] => 17 [4,2] => 15 [4,1,1] => 15 [3,3] => 15 [3,2,1] => 14 [3,1,1,1] => 15 [2,2,2] => 15 [2,2,1,1] => 15 [2,1,1,1,1] => 17 [1,1,1,1,1,1] => 21 [7] => 28 [6,1] => 23 [5,2] => 20 [5,1,1] => 20 [4,3] => 19 [4,2,1] => 18 [4,1,1,1] => 19 [3,3,1] => 18 [3,2,2] => 18 [3,2,1,1] => 18 [3,1,1,1,1] => 20 [2,2,2,1] => 19 [2,2,1,1,1] => 20 [2,1,1,1,1,1] => 23 [1,1,1,1,1,1,1] => 28 [8] => 36 [7,1] => 30 [6,2] => 26 [6,1,1] => 26 [5,3] => 24 [5,2,1] => 23 [5,1,1,1] => 24 [4,4] => 24 [4,3,1] => 22 [4,2,2] => 22 [4,2,1,1] => 22 [4,1,1,1,1] => 24 [3,3,2] => 22 [3,3,1,1] => 22 [3,2,2,1] => 22 [3,2,1,1,1] => 23 [3,1,1,1,1,1] => 26 [2,2,2,2] => 24 [2,2,2,1,1] => 24 [2,2,1,1,1,1] => 26 [2,1,1,1,1,1,1] => 30 [1,1,1,1,1,1,1,1] => 36 [9] => 45 [8,1] => 38 [7,2] => 33 [7,1,1] => 33 [6,3] => 30 [6,2,1] => 29 [6,1,1,1] => 30 [5,4] => 29 [5,3,1] => 27 [5,2,2] => 27 [5,2,1,1] => 27 [5,1,1,1,1] => 29 [4,4,1] => 27 [4,3,2] => 26 [4,3,1,1] => 26 [4,2,2,1] => 26 [4,2,1,1,1] => 27 [4,1,1,1,1,1] => 30 [3,3,3] => 27 [3,3,2,1] => 26 [3,3,1,1,1] => 27 [3,2,2,2] => 27 [3,2,2,1,1] => 27 [3,2,1,1,1,1] => 29 [3,1,1,1,1,1,1] => 33 [2,2,2,2,1] => 29 [2,2,2,1,1,1] => 30 [2,2,1,1,1,1,1] => 33 [2,1,1,1,1,1,1,1] => 38 [1,1,1,1,1,1,1,1,1] => 45 [10] => 55 [9,1] => 47 [8,2] => 41 [8,1,1] => 41 [7,3] => 37 [7,2,1] => 36 [7,1,1,1] => 37 [6,4] => 35 [6,3,1] => 33 [6,2,2] => 33 [6,2,1,1] => 33 [6,1,1,1,1] => 35 [5,5] => 35 [5,4,1] => 32 [5,3,2] => 31 [5,3,1,1] => 31 [5,2,2,1] => 31 [5,2,1,1,1] => 32 [5,1,1,1,1,1] => 35 [4,4,2] => 31 [4,4,1,1] => 31 [4,3,3] => 31 [4,3,2,1] => 30 [4,3,1,1,1] => 31 [4,2,2,2] => 31 [4,2,2,1,1] => 31 [4,2,1,1,1,1] => 33 [4,1,1,1,1,1,1] => 37 [3,3,3,1] => 31 [3,3,2,2] => 31 [3,3,2,1,1] => 31 [3,3,1,1,1,1] => 33 [3,2,2,2,1] => 32 [3,2,2,1,1,1] => 33 [3,2,1,1,1,1,1] => 36 [3,1,1,1,1,1,1,1] => 41 [2,2,2,2,2] => 35 [2,2,2,2,1,1] => 35 [2,2,2,1,1,1,1] => 37 [2,2,1,1,1,1,1,1] => 41 [2,1,1,1,1,1,1,1,1] => 47 [1,1,1,1,1,1,1,1,1,1] => 55 [11] => 66 [10,1] => 57 [9,2] => 50 [9,1,1] => 50 [8,3] => 45 [8,2,1] => 44 [8,1,1,1] => 45 [7,4] => 42 [7,3,1] => 40 [7,2,2] => 40 [7,2,1,1] => 40 [7,1,1,1,1] => 42 [6,5] => 41 [6,4,1] => 38 [6,3,2] => 37 [6,3,1,1] => 37 [6,2,2,1] => 37 [6,2,1,1,1] => 38 [6,1,1,1,1,1] => 41 [5,5,1] => 38 [5,4,2] => 36 [5,4,1,1] => 36 [5,3,3] => 36 [5,3,2,1] => 35 [5,3,1,1,1] => 36 [5,2,2,2] => 36 [5,2,2,1,1] => 36 [5,2,1,1,1,1] => 38 [5,1,1,1,1,1,1] => 42 [4,4,3] => 36 [4,4,2,1] => 35 [4,4,1,1,1] => 36 [4,3,3,1] => 35 [4,3,2,2] => 35 [4,3,2,1,1] => 35 [4,3,1,1,1,1] => 37 [4,2,2,2,1] => 36 [4,2,2,1,1,1] => 37 [4,2,1,1,1,1,1] => 40 [4,1,1,1,1,1,1,1] => 45 [3,3,3,2] => 36 [3,3,3,1,1] => 36 [3,3,2,2,1] => 36 [3,3,2,1,1,1] => 37 [3,3,1,1,1,1,1] => 40 [3,2,2,2,2] => 38 [3,2,2,2,1,1] => 38 [3,2,2,1,1,1,1] => 40 [3,2,1,1,1,1,1,1] => 44 [3,1,1,1,1,1,1,1,1] => 50 [2,2,2,2,2,1] => 41 [2,2,2,2,1,1,1] => 42 [2,2,2,1,1,1,1,1] => 45 [2,2,1,1,1,1,1,1,1] => 50 [2,1,1,1,1,1,1,1,1,1] => 57 [1,1,1,1,1,1,1,1,1,1,1] => 66 [12] => 78 [11,1] => 68 [10,2] => 60 [10,1,1] => 60 [9,3] => 54 [9,2,1] => 53 [9,1,1,1] => 54 [8,4] => 50 [8,3,1] => 48 [8,2,2] => 48 [8,2,1,1] => 48 [8,1,1,1,1] => 50 [7,5] => 48 [7,4,1] => 45 [7,3,2] => 44 [7,3,1,1] => 44 [7,2,2,1] => 44 [7,2,1,1,1] => 45 [7,1,1,1,1,1] => 48 [6,6] => 48 [6,5,1] => 44 [6,4,2] => 42 [6,4,1,1] => 42 [6,3,3] => 42 [6,3,2,1] => 41 [6,3,1,1,1] => 42 [6,2,2,2] => 42 [6,2,2,1,1] => 42 [6,2,1,1,1,1] => 44 [6,1,1,1,1,1,1] => 48 [5,5,2] => 42 [5,5,1,1] => 42 [5,4,3] => 41 [5,4,2,1] => 40 [5,4,1,1,1] => 41 [5,3,3,1] => 40 [5,3,2,2] => 40 [5,3,2,1,1] => 40 [5,3,1,1,1,1] => 42 [5,2,2,2,1] => 41 [5,2,2,1,1,1] => 42 [5,2,1,1,1,1,1] => 45 [5,1,1,1,1,1,1,1] => 50 [4,4,4] => 42 [4,4,3,1] => 40 [4,4,2,2] => 40 [4,4,2,1,1] => 40 [4,4,1,1,1,1] => 42 [4,3,3,2] => 40 [4,3,3,1,1] => 40 [4,3,2,2,1] => 40 [4,3,2,1,1,1] => 41 [4,3,1,1,1,1,1] => 44 [4,2,2,2,2] => 42 [4,2,2,2,1,1] => 42 [4,2,2,1,1,1,1] => 44 [4,2,1,1,1,1,1,1] => 48 [4,1,1,1,1,1,1,1,1] => 54 [3,3,3,3] => 42 [3,3,3,2,1] => 41 [3,3,3,1,1,1] => 42 [3,3,2,2,2] => 42 [3,3,2,2,1,1] => 42 [3,3,2,1,1,1,1] => 44 [3,3,1,1,1,1,1,1] => 48 [3,2,2,2,2,1] => 44 [3,2,2,2,1,1,1] => 45 [3,2,2,1,1,1,1,1] => 48 [3,2,1,1,1,1,1,1,1] => 53 [3,1,1,1,1,1,1,1,1,1] => 60 [2,2,2,2,2,2] => 48 [2,2,2,2,2,1,1] => 48 [2,2,2,2,1,1,1,1] => 50 [2,2,2,1,1,1,1,1,1] => 54 [2,2,1,1,1,1,1,1,1,1] => 60 [2,1,1,1,1,1,1,1,1,1,1] => 68 [1,1,1,1,1,1,1,1,1,1,1,1] => 78 [13] => 91 [12,1] => 80 [10,3] => 64 [9,4] => 59 [9,2,2] => 57 [8,5] => 56 [8,4,1] => 53 [8,3,2] => 52 [8,3,1,1] => 52 [7,6] => 55 [7,5,1] => 51 [7,4,2] => 49 [7,4,1,1] => 49 [7,3,3] => 49 [7,3,2,1] => 48 [6,6,1] => 51 [6,5,2] => 48 [6,5,1,1] => 48 [6,4,3] => 47 [6,4,2,1] => 46 [6,3,3,1] => 46 [6,3,2,2] => 46 [6,3,1,1,1,1] => 48 [6,2,2,1,1,1] => 48 [6,1,1,1,1,1,1,1] => 56 [5,5,3] => 47 [5,5,2,1] => 46 [5,4,4] => 47 [5,4,3,1] => 45 [5,4,2,2] => 45 [5,4,2,1,1] => 45 [5,4,1,1,1,1] => 47 [5,3,3,2] => 45 [5,3,3,1,1] => 45 [5,3,2,2,1] => 45 [5,3,2,1,1,1] => 46 [5,3,1,1,1,1,1] => 49 [5,2,2,2,1,1] => 47 [5,2,2,1,1,1,1] => 49 [5,2,1,1,1,1,1,1] => 53 [4,4,4,1] => 46 [4,4,3,2] => 45 [4,4,3,1,1] => 45 [4,4,2,2,1] => 45 [4,3,3,3] => 46 [4,3,3,2,1] => 45 [3,3,3,3,1] => 47 [3,3,3,2,2] => 47 [3,3,3,2,1,1] => 47 [3,3,2,2,2,1] => 48 [3,3,2,2,1,1,1] => 49 [3,3,2,1,1,1,1,1] => 52 [3,2,2,2,2,2] => 51 [3,2,2,2,2,1,1] => 51 [3,1,1,1,1,1,1,1,1,1,1] => 71 [2,2,2,2,2,2,1] => 55 [2,2,2,2,1,1,1,1,1] => 59 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 91 [14] => 105 [13,1] => 93 [12,2] => 83 [12,1,1] => 83 [11,2,1] => 74 [10,2,2] => 67 [9,5] => 65 [8,6] => 63 [8,5,1] => 59 [8,4,2] => 57 [8,3,3] => 57 [8,3,1,1,1] => 57 [7,7] => 63 [7,6,1] => 58 [7,5,2] => 55 [7,4,3] => 54 [6,6,2] => 55 [6,6,1,1] => 55 [6,5,3] => 53 [6,5,1,1,1] => 53 [6,4,4] => 53 [6,4,2,2] => 51 [6,2,2,2,2] => 53 [6,1,1,1,1,1,1,1,1] => 65 [5,5,4] => 53 [5,5,1,1,1,1] => 53 [5,4,4,1] => 51 [5,4,3,2] => 50 [5,4,3,1,1] => 50 [5,4,2,2,1] => 50 [5,4,2,1,1,1] => 51 [5,4,1,1,1,1,1] => 54 [5,3,3,3] => 51 [5,3,3,2,1] => 50 [5,3,2,2,2] => 51 [5,3,2,2,1,1] => 51 [5,3,2,1,1,1,1] => 53 [5,3,1,1,1,1,1,1] => 57 [5,2,2,2,2,1] => 53 [5,2,2,1,1,1,1,1] => 57 [4,4,4,2] => 51 [4,4,4,1,1] => 51 [4,4,3,3] => 51 [4,4,3,2,1] => 50 [4,3,2,2,2,1] => 52 [3,3,3,3,2] => 53 [3,3,3,3,1,1] => 53 [3,3,3,2,2,1] => 53 [3,3,2,2,2,2] => 55 [3,3,1,1,1,1,1,1,1,1] => 67 [3,2,2,2,2,1,1,1] => 59 [2,2,2,2,2,2,2] => 63 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 105 [15] => 120 [14,1] => 107 [12,3] => 87 [11,2,2] => 78 [9,6] => 72 [9,5,1] => 68 [9,3,2,1] => 65 [8,7] => 71 [8,5,2] => 63 [7,5,3] => 60 [6,6,3] => 60 [6,5,4] => 59 [6,5,1,1,1,1] => 59 [6,4,3,1,1] => 56 [6,3,3,3] => 57 [6,3,1,1,1,1,1,1] => 63 [6,2,2,2,2,1] => 59 [5,5,5] => 60 [5,5,2,2,1] => 56 [5,4,3,3] => 56 [5,4,3,2,1] => 55 [5,4,3,1,1,1] => 56 [5,3,2,2,2,1] => 57 [5,3,2,2,1,1,1] => 58 [5,3,1,1,1,1,1,1,1] => 66 [4,4,4,3] => 57 [4,4,4,1,1,1] => 57 [4,3,3,3,2] => 57 [3,3,3,3,3] => 60 [3,3,3,3,2,1] => 59 [3,3,3,2,2,2] => 60 [2,2,2,2,2,2,2,1] => 71 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 120 [16] => 136 [15,1] => 122 [12,4] => 92 [12,1,1,1,1] => 92 [10,6] => 82 [8,8] => 80 [8,6,2] => 70 [8,5,3] => 68 [7,6,3] => 67 [7,5,3,1] => 64 [7,3,3,2,1] => 63 [6,6,4] => 66 [6,6,2,2] => 64 [6,5,5] => 66 [6,4,3,3] => 62 [5,5,3,3] => 62 [5,5,2,2,2] => 62 [5,4,4,3] => 62 [5,4,3,2,1,1] => 61 [5,4,2,2,2,1] => 62 [4,4,4,4] => 64 [4,4,4,2,2] => 62 [4,4,3,3,2] => 62 [4,4,2,2,2,2] => 64 [4,3,3,3,3] => 64 [4,3,3,3,2,1] => 63 [3,3,3,3,2,2] => 66 [3,3,3,3,1,1,1,1] => 68 [3,3,2,2,2,2,2] => 70 [2,2,2,2,2,2,2,2] => 80 [2,2,2,2,2,2,1,1,1,1] => 82 [2,2,2,2,1,1,1,1,1,1,1,1] => 92 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 136 [17] => 153 [16,1] => 138 [9,8] => 89 [8,8,1] => 83 [8,6,3] => 75 [7,5,3,2] => 69 [6,5,3,3] => 68 [6,5,2,2,2] => 68 [6,4,4,3] => 68 [6,4,4,1,1,1] => 68 [6,3,3,3,2] => 68 [6,3,3,3,1,1] => 68 [5,5,4,3] => 68 [5,5,4,1,1,1] => 68 [5,5,2,2,2,1] => 68 [5,4,4,4] => 69 [5,4,3,2,2,1] => 67 [5,3,3,3,2,1] => 68 [4,4,4,3,2] => 68 [4,4,4,3,1,1] => 68 [4,4,4,2,2,1] => 68 [4,4,3,3,3] => 69 [3,3,3,3,3,2] => 73 [3,2,2,2,2,2,2,2] => 83 [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 125 [4,4,4,3,2,1] => 74 [5,4,3,3,2,1] => 73 [6,3,3,3,2,1] => 74 [6,5,2,2,2,1] => 74 [5,5,3,3,1,1] => 73 [6,5,4,1,1,1] => 74 [5,5,3,3,2] => 73 [5,5,4,2,2] => 73 [6,4,4,2,2] => 73 [6,5,4,3] => 74 [4,4,4,3,3] => 75 [4,4,4,4,2] => 75 [5,5,4,4] => 75 [6,4,4,4] => 75 [2,2,2,2,2,2,2,2,2] => 99 [3,3,3,3,3,3] => 81 [18] => 171 [6,2,2,2,2,2,2] => 81 [6,6,6] => 81 [4,2,2,2,2,2,2,2] => 87 [10,4,4] => 87 [9,6,3] => 84 [8,6,4] => 81 [10,8] => 99 [3,3,3,3,1,1,1,1,1,1] => 87 [9,9] => 99 [7,7,1,1,1,1] => 81 [5,4,4,3,2,1] => 79 [5,5,3,3,2,1] => 79 [5,5,4,2,2,1] => 79 [6,4,4,2,2,1] => 79 [5,5,4,3,1,1] => 79 [6,4,4,3,1,1] => 79 [6,5,3,3,1,1] => 79 [5,5,4,3,2] => 79 [6,4,4,3,2] => 79 [6,5,3,3,2] => 79 [6,5,4,2,2] => 79 [6,5,4,3,1] => 79 [6,5,4,1,1,1,1] => 81 [4,4,4,4,3] => 82 [4,3,3,3,3,3] => 85 [19] => 190 [7,2,2,2,2,2,2] => 88 [7,6,6] => 88 [5,2,2,2,2,2,2,2] => 92 [13,6] => 118 [11,4,4] => 98 [9,6,4] => 90 [8,5,4,2] => 83 [8,5,5,1] => 85 [5,5,4,3,2,1] => 85 [6,4,4,3,2,1] => 85 [6,5,3,3,2,1] => 85 [6,5,4,2,2,1] => 85 [6,5,4,3,1,1] => 85 [6,5,4,3,2] => 85 [6,5,2,2,2,2,1] => 88 [6,5,4,2,1,1,1] => 86 [6,6,2,2,2,2] => 88 [7,5,4,3,1] => 86 [2,2,2,2,2,2,2,2,2,2] => 120 [3,3,3,3,3,3,2] => 96 [4,4,3,3,3,3] => 90 [4,4,4,4,4] => 90 [5,5,5,5] => 90 [20] => 210 [10,10] => 120 [8,2,2,2,2,2,2] => 96 [8,6,4,2] => 90 [8,6,6] => 96 [10,6,4] => 100 [9,8,3] => 101 [6,6,6,2] => 90 [10,7,3] => 102 [9,7,4] => 98 [9,5,5,1] => 94 [6,5,4,3,2,1] => 91 [6,3,3,3,3,2,1] => 95 [6,5,3,2,2,2,1] => 93 [6,5,4,3,1,1,1] => 92 [7,6,2,2,2,2] => 95 [6,6,5,4] => 95 [3,3,3,3,3,3,3] => 105 [4,4,4,3,3,3] => 96 [21] => 231 [11,7,3] => 113 [5,4,2,2,2,2,2,2] => 101 [11,10] => 131 [13,4,4] => 123 [7,6,6,2] => 97 [4,4,4,4,3,2,1] => 102 [6,4,3,3,3,2,1] => 100 [6,5,4,2,2,2,1] => 99 [6,5,4,3,2,1,1] => 98 [4,4,4,4,3,3] => 103 [8,6,2,2,2,2] => 103 [22] => 253 [9,6,4,3] => 105 [8,7,7] => 113 [5,4,4,4,3,2,1] => 107 [6,5,3,3,3,2,1] => 106 [6,5,4,3,2,2,1] => 105 [15,2,2,2,2] => 152 [9,6,5,3] => 112 [8,6,5,3,1] => 108 [6,4,4,4,3,2,1] => 113 [6,5,4,3,3,2,1] => 112 [3,3,3,3,3,3,3,3] => 132 [4,4,4,4,4,4] => 120 [6,6,6,6] => 120 [24] => 300 [11,7,5,1] => 130 [9,7,5,3] => 120 [8,8,8] => 132 [17,7] => 188 [12,9,3] => 144 [5,5,5,4,3,2,1] => 120 [6,5,4,4,3,2,1] => 119 [7,6,6,6] => 127 [5,4,4,4,2,2,2,2] => 125 [13,12] => 181 [15,5,5] => 165 [9,7,5,3,1] => 125 [10,7,5,3] => 130 [3,3,3,3,3,1,1,1,1,1,1,1,1,1,1] => 165 [5,5,5,5,5] => 125 [12,10,3] => 155 [6,5,5,4,3,2,1] => 126 [6,6,4,3,3,2,2] => 127 [8,6,6,6] => 135 [9,7,5,4,1] => 132 [16,8,2] => 187 [6,6,5,4,3,2,1] => 133 [7,6,5,4,3,2] => 133 [3,3,3,3,3,3,3,3,3] => 162 [15,6,6] => 180 [7,6,5,4,3,2,1] => 140 [6,6,6,4,3,3] => 142 [4,3,3,3,3,3,3,3,3] => 166 [7,6,5,4,3,1,1,1] => 141 [10,7,6,4,1] => 150 [9,7,6,4,2] => 146 [10,8,5,4,1] => 151 [15,14] => 239 [7,6,5,4,3,2,1,1] => 148 [7,6,5,4,2,2,2,1] => 149 [10,8,6,4,1] => 159 [6,6,6,6,6] => 165 [15,15] => 255 [5,5,5,5,5,5] => 165 [6,6,6,6,3,3] => 159 [10,10,10] => 195 [9,7,5,5,3,1] => 159 [7,6,5,4,3,2,2,1] => 156 [7,6,5,3,3,3,2,1] => 157 [11,8,6,4,1] => 170 [10,8,6,4,2] => 165 [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 255 [7,6,6,6,6] => 172 [7,6,5,4,3,3,2,1] => 164 [7,6,4,4,4,3,2,1] => 165 [11,8,6,5,1] => 178 [10,10,9,2] => 192 [14,9,8] => 211 [4,4,4,4,4,4,4,4] => 192 [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 288 [7,6,5,4,4,3,2,1] => 172 [7,5,5,5,4,3,2,1] => 173 [16,16] => 288 [10,10,10,2] => 204 [16,8,4,2,2] => 218 [3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 291 [5,4,4,4,4,4,4,4] => 197 [7,6,5,5,4,3,2,1] => 180 [6,6,6,5,4,3,2,1] => 181 [22,7,4] => 306 [12,12,4,3,2] => 212 [4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 295 [7,6,6,5,4,3,2,1] => 188 [12,9,7,5,1] => 209 [7,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 280 [7,7,6,5,4,3,2,1] => 196 [13,9,7,5,1] => 222 [18,18] => 360 [24,12] => 390 [11,9,7,5,3,1] => 216 [11,8,7,5,4,1] => 214 [8,7,6,5,4,3,2,1] => 204 [8,7,7,7,7] => 218 [7,6,2,2,2,2,2,2,2,2,2,2,2,2] => 271 [7,6,6,6,6,6] => 223 [8,7,6,5,4,3,2,1,1] => 213 [8,7,6,5,4,3,2,2,1] => 222 [8,7,6,5,4,3,3,2,1] => 231 [10,10,10,10] => 280 [12,12,12,4] => 292 [8,7,6,5,4,4,3,2,1] => 240 [11,9,7,5,5,3] => 248 [4,4,4,4,4,4,4,4,4,4] => 280 [14,14,8,4] => 298 [7,6,6,6,2,2,2,2,2,2,2,2] => 271 [8,7,6,5,5,4,3,2,1] => 249 [9,9,9,9,3,3] => 273 [8,7,6,6,5,4,3,2,1] => 258 [10,10,10,5,5,2] => 273 [16,10,8,8] => 313 [26,9,7] => 447 [8,7,7,6,5,4,3,2,1] => 267 [8,8,7,6,5,4,3,2,1] => 276 [18,18,9] => 423 [9,8,7,6,5,4,3,2,1] => 285 [11,9,7,7,5,3,3] => 291 [48] => 1176 [7,6,6,6,6,6,6,6] => 343 [22,9,8,5,5] => 424 [6,6,6,6,6,6,6,3,3,2] => 351 [27,14,9] => 560 [17,14,13,8] => 449 [5,5,5,5,5,5,5,5,5,5,5] => 440 [27,20,8] => 660 [26,13,7,7,2] => 557 [31,12,10,4] => 683 [6,6,6,6,6,6,6,6,6,6] => 480 [5,5,5,5,5,5,5,5,5,5,5,5] => 510 [12,12,12,12,12] => 510 [12,12,12,12,11,4] => 524 [12,12,12,12,12,4] => 540 [3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => 1091 [11,11,11,11,11,10] => 545 [11,11,11,11,11,11] => 561 [16,14,9,9,9,9] => 561 [8,8,8,8,8,8,8,8,4,2] => 575 [24,24,24] => 972 [16,16,16,16,8,4,2] => 753 [12,12,12,12,12,12,4,4] => 720 [22,20,20,12,8] => 915 [20,20,8,4,4,4,4,4,4,4,4,4] => 834 [33,32,9,9,5] => 1291 [18,18,18,18,18] => 1035 [18,18,18,18,9,9] => 963 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3] => 939 [56,17,11,10,5] => 1974 [33,26,23,12,9] => 1455 [22,22,22,10,10,9,4,4] => 1167 [22,22,22,10,10,10,4,4] => 1182 [12,12,12,12,12,12,12,12,4,3,2] => 1058 [24,24,24,24,14] => 1505 [76,22,9,6] => 3303 [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 1610 [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => 1740 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 1560 [12,12,12,12,12,12,12,12,12,12] => 1320 [24,24,24,24,24] => 1740 [12,12,12,12,12,12,12,12,12,6,6,6,4,2] => 1464 [54,48,18,10,8] => 3069 [24,24,24,24,24,24] => 2160 [37,33,20,20,13,10,10,10,7] => 2389 [42,34,30,22,22,14,2] => 2907 [54,52,34,18,11,7] => 3976 [65,27,27,25,13,9,6,6] => 3735 [18,18,18,18,18,18,18,18,18,18] => 2520 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 3240 [16,16,16,16,16,16,16,8,8,8,8,8,8,8,8,4,2] => 2353 [58,38,38,38,30] => 4747 [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12] => 3840 [10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,2] => 4428 [74,58,34,34,22,22,13,11,2] => 6939 [61,48,48,48,45,22,12,2] => 7452 [15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,5,5,3,3] => 4805 [98,62,36,26,14,14,14,14,14,14,12,2] => 9432 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,13,2] => 6840 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,2] => 6878 [74,74,26,26,26,26,12,12,12,12,12,12,6,6,4,4,3,3,3,3] => 9034 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 11880 [64,57,40,39,28,23,19,19,16,9,8,8,8,8,8,8,6,6] => 8569 [70,70,46,28,22,22,10,9,9,9,9,8,8,8,8,8,7,7,7,3,3,3] => 9347 [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,7,7,7,7,7,2] => 9491 [170,92,36,28,27,24,20,14,13,10,8,8] => 22152 [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,6,6,6,6,4,4,4,3,3] => 11607 [145,83,62,44,44,42,19,16,16,10,8] => 20709 [98,98,37,37,37,37,24,24,24,24,24,24,24,24,10,10,8,8] => 18090 [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6] => 45360 ----------------------------------------------------------------------------- Created: Jun 27, 2017 at 09:02 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Mar 11, 2024 at 11:26 by Martin Rubey