*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* 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