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组成的二进制表示顺序
此排序基于二进制行程编码有限的元组以非负整数表示。
|
|
有序素数签名 |
数字 |
A编号
|
主要签名 |
0
|
0[1]
|
{ } |
{1} |
|
{ } |
1
|
1 |
{1} |
{2、3、5、7、11、13、17、19、…} |
A000040型
|
{ } |
2
|
10 |
{1,1} |
{6, 10, 15, ...} |
A?????? |
{ } |
三
|
11 |
{2} |
{ , ...} |
A?????? |
{ } |
4
|
100 |
{1,2} |
{ , ...} |
A?????? |
{ } |
5
|
101 |
{1,1,1} |
{ , ...} |
A?????? |
{ } |
6
|
110 |
{2,1} |
{ , ...} |
A?????? |
{ } |
7
|
111 |
{3} |
{ , ...} |
A?????? |
{ } |
8
|
1000 |
{1,3} |
{ , ...} |
A?????? |
{ } |
9
|
1001 |
{1,2,1} |
{ , ...} |
A?????? |
{ } |
10
|
1010 |
{1,1,1,1} |
{ , ...} |
A?????? |
{ } |
11
|
1011 |
{1,1,2} |
{ , ...} |
A?????? |
{ } |
12
|
1100 |
{2,2} |
{ , ...} |
A?????? |
{ } |
13
|
1101 |
{2,1,1} |
{ , ...} |
A?????? |
{ } |
14
|
1110 |
{3,1} |
{ , ...} |
A?????? |
{ } |
15
|
1111 |
{4} |
{ , ...} |
A?????? |
{ } |
16
|
10000 |
{1,4} |
{ , ...} |
A?????? |
{ } |
17
|
10001 |
{1,3,1} |
{ , ...} |
A?????? |
{ } |
18
|
10010 |
{1,2,1,1} |
{ , ...} |
A?????? |
{ } |
19
|
10011 |
{1,2,2} |
{ , ...} |
A?????? |
{ } |
20
|
10100 |
{1,1,1,2} |
{ , ...} |
A?????? |
{ } |
21
|
10101 |
{1,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
22
|
10110 |
{1,1,2,1} |
{ , ...} |
A?????? |
{ } |
23
|
10111 |
{1,1,3} |
{ , ...} |
A?????? |
{ } |
24
|
11000 |
{2,3} |
{ , ...} |
A?????? |
{ } |
25
|
11001 |
{2,2,1} |
{ , ...} |
A?????? |
{ } |
26
|
11010 |
{2,1,1,1} |
{ , ...} |
A?????? |
{ } |
27
|
11011 |
{2,1,2} |
{ , ...} |
A?????? |
{ } |
28
|
11100 |
{3,2} |
{ , ...} |
A?????? |
{ } |
29
|
11101 |
{3,1,1} |
{ , ...} |
A?????? |
{ } |
30
|
11110 |
{4,1} |
{ , ...} |
A?????? |
{ } |
31
|
11111 |
{5} |
{ , ...} |
A?????? |
{ } |
32
|
100000 |
{1,5} |
{ , ...} |
A?????? |
{ } |
33
|
100001 |
{1,4,1} |
{ , ...} |
A?????? |
{ } |
34
|
100010 |
{1,3,1,1} |
{ , ...} |
A?????? |
{ } |
35
|
100011 |
{1,3,2} |
{ , ...} |
A?????? |
{ } |
36
|
100100 |
{1,2,1,2} |
{ , ...} |
A?????? |
{ } |
37
|
100101 |
{1,2,1,1,1} |
{ , ...} |
A?????? |
{ } |
38
|
100110 |
{1,2,2,1} |
{ , ...} |
A?????? |
{ } |
39
|
100111 |
{1,2,3} |
{ , ...} |
A?????? |
{ } |
40
|
101000 |
{1,1,1,3} |
{ , ...} |
A?????? |
{ } |
41
|
101001 |
{1,1,1,2,1} |
{ , ...} |
A?????? |
{ } |
42
|
101010 |
{1,1,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
43
|
101011 |
{1,1,1,1,2} |
{ , ...} |
A?????? |
{ } |
44
|
101100 |
{1,1,2,2} |
{ , ...} |
A?????? |
{ } |
45
|
101101 |
{1,1,2,1,1} |
{ , ...} |
A?????? |
{ } |
46
|
101110 |
{1,1,3,1} |
{ , ...} |
A?????? |
{ } |
47
|
101111 |
{1,1,4} |
{ , ...} |
A?????? |
{ } |
48
|
110000 |
{2,4} |
{ , ...} |
A?????? |
{ } |
49
|
110001 |
{2,3,1} |
{ , ...} |
A?????? |
{ } |
50
|
110010 |
{2,2,1,1} |
{ , ...} |
A?????? |
{ } |
51
|
110011 |
{2,2,2} |
{ , ...} |
A?????? |
{ } |
52
|
110100 |
{2,1,1,2} |
{ , ...} |
A?????? |
{ } |
53
|
110101 |
{2,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
54
|
110110 |
{2,1,2,1} |
{ , ...} |
A?????? |
{ } |
55
|
110111 |
{2,1,3} |
{ , ...} |
A?????? |
{ } |
56
|
111000 |
{3,3} |
{ , ...} |
A?????? |
{ } |
57
|
111001 |
{3,2,1} |
{ , ...} |
A?????? |
{ } |
58
|
111010 |
{3,1,1,1} |
{ , ...} |
A?????? |
{ } |
59
|
111011 |
{3,1,2} |
{ , ...} |
A?????? |
{ } |
60
|
111100 |
{4,2} |
{ , ...} |
A?????? |
{ } |
61
|
111101 |
{4,1,1} |
{ , ...} |
A?????? |
{ } |
62
|
111110 |
{5,1} |
{ , ...} |
A?????? |
{ } |
63
|
111111 |
{6} |
{ , ...} |
A?????? |
{ } |
64
|
1000000 |
{1,6} |
{ , ...} |
A?????? |
{ } |
65
|
1000001 |
{1,5,1} |
{ , ...} |
A?????? |
{ } |
66
|
1000010 |
{1,4,1,1} |
{ , ...} |
A?????? |
{ } |
67
|
1000011 |
{1,4,2} |
{ , ...} |
A?????? |
{ } |
68
|
1000100 |
{1,3,1,2} |
{ , ...} |
A?????? |
{ } |
69
|
1000101 |
{1,3,1,1,1} |
{ , ...} |
A?????? |
{ } |
70
|
1000110 |
{1,3,2,1} |
{ , ...} |
A?????? |
{ } |
71
|
1000111 |
{1,3,3} |
{ , ...} |
A?????? |
{ } |
72
|
1001000 |
{1,2,1,3} |
{ , ...} |
A?????? |
{ } |
73
|
1001001 |
{1,2,1,2,1} |
{ , ...} |
A?????? |
{ } |
74
|
1001010 |
{1,2,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
75
|
1001011 |
{1,2,1,2} |
{ , ...} |
A?????? |
{ } |
76
|
1001100 |
{1,2,2,2} |
{ , ...} |
A?????? |
{ } |
77
|
1001101 |
{1,2,2,1,1} |
{ , ...} |
A?????? |
{ } |
78
|
1001110 |
{1,2,3,1} |
{ , ...} |
A?????? |
{ } |
79
|
1001111 |
{1,2,4} |
{ , ...} |
A?????? |
{ } |
80
|
1010000 |
{1,1,1,4} |
{ , ...} |
A?????? |
{ } |
81
|
1010001 |
{1,1,1,3,1} |
{ , ...} |
A?????? |
{ } |
82
|
1010010 |
{1,1,1,2,1,1} |
{ , ...} |
A?????? |
{ } |
83
|
1010011 |
{1,1,1,2,2} |
{ , ...} |
A?????? |
{ } |
84
|
1010100 |
{1,1,1,1,1,2} |
{ , ...} |
A?????? |
{ } |
85
|
1010101 |
{1,1,1,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
86
|
1010110 |
{1,1,1,1,2,1} |
{ , ...} |
A?????? |
{ } |
87
|
1010111 |
{1,1,1,3} |
{ , ...} |
A?????? |
{ } |
88
|
1011000 |
{1,1,2,3} |
{ , ...} |
A?????? |
{ } |
89
|
1011001 |
{1,1,2,2,1} |
{ , ...} |
A?????? |
{ } |
90
|
1011010 |
{1,1,2,1,1,1} |
{ , ...} |
A?????? |
{ } |
91
|
1011011 |
{1,1,2,1,2} |
{ , ...} |
A?????? |
{ } |
92
|
1011100 |
{1,1,3,2} |
{ , ...} |
A?????? |
{ } |
93
|
1011101 |
{1,1,3,1,1} |
{ , ...} |
A?????? |
{ } |
94
|
1011110 |
{1,1,4,1} |
{ , ...} |
A?????? |
{ } |
95
|
1011111 |
{1,1,5} |
{ , ...} |
A?????? |
{ } |
96
|
1100000 |
{2,5} |
{ , ...} |
A?????? |
{ } |
97
|
1100001 |
{2,4,1} |
{ , ...} |
A?????? |
{ } |
98
|
1100010 |
{2,3,1,1} |
{ , ...} |
A?????? |
{ } |
99
|
1100011 |
{2,3,2} |
{ , ...} |
A?????? |
{ } |
100
|
1100100 |
{2,2,1,2} |
{ , ...} |
A?????? |
{ } |
101
|
1100101 |
{2,2,1,1,1} |
{ , ...} |
A?????? |
{ } |
102
|
1100110 |
{2,2,2,1} |
{ , ...} |
A?????? |
{ } |
103
|
1100111 |
{2,2,3} |
{ , ...} |
A?????? |
{ } |
104
|
1101000 |
{2,1,1,3} |
{ , ...} |
A?????? |
{ } |
105
|
1101001 |
{2,1,1,2,1} |
{ , ...} |
A?????? |
{ } |
106
|
1101010 |
{2,1,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
107
|
1101011 |
{2,1,1,1,2} |
{ , ...} |
A?????? |
{ } |
108
|
1101100 |
{2,1,2,2} |
{ , ...} |
A?????? |
{ } |
109
|
1101101 |
{2,1,2,1,1} |
{ , ...} |
A?????? |
{ } |
110
|
1101110 |
{2,1,3,1} |
{ , ...} |
A?????? |
{ } |
111
|
1101111 |
{2,1,4} |
{ , ...} |
A?????? |
{ } |
112
|
1110000 |
{3,4} |
{ , ...} |
A?????? |
{ } |
113
|
1110001 |
{3,3,1} |
{ , ...} |
A?????? |
{ } |
114
|
1110010 |
{3,2,1,1} |
{ , ...} |
A?????? |
{ } |
115
|
1110011 |
{3,2,2} |
{ , ...} |
A?????? |
{ } |
116
|
1110100 |
{3,1,1,2} |
{ , ...} |
A?????? |
{ } |
117
|
1110101 |
{3,1,1,1,1} |
{ , ...} |
A?????? |
{ } |
118
|
1110110 |
{3,1,2,1} |
{ , ...} |
A?????? |
{ } |
119
|
1110111 |
{3,1,3} |
{ , ...} |
A?????? |
{ } |
120
|
1111000 |
{4,3} |
{ , ...} |
A?????? |
{ } |
121
|
1111001 |
{4,2,1} |
{ , ...} |
A?????? |
{ } |
122
|
1111010 |
{4,1,1,1} |
{ , ...} |
A?????? |
{ } |
123
|
1111011 |
{4,1,2} |
{ , ...} |
A?????? |
{ } |
124
|
1111100 |
{5,2} |
{ , ...} |
A?????? |
{ } |
125
|
1111101 |
{5,1,1} |
{ , ...} |
A?????? |
{ } |
126
|
1111110 |
{6,1} |
{ , ...} |
A?????? |
{ } |
127
|
1111111 |
{7} |
{ , ...} |
A?????? |
{ } |
序列
A124734号按行读取三角形,其中的行对成分属于通过增加长度,然后通过增加词典编纂顺序。类似于分区的“Abramowitz and Stegun”排序,A036036号.例如,第五行显示
- (5),
- (1, 4), (2, 3), (3, 2), (4, 1),
- (1, 1, 3), (1, 2, 2), (1, 3, 1), (2, 1, 2), (2, 2, 1), (3, 1, 1),
- (1, 1, 1, 2), (1, 1, 2, 1), (1, 2, 1, 1), (2, 1, 1, 1),
- (1, 1, 1, 1, 1).
A296774型按行读取三角形,其中的行对成分属于增加长度,然后减少词典编纂顺序.例如,第五行显示
- (5),
- (4, 1), (3, 2), (2, 3), (1, 4),
- (3, 1, 1), (2, 2, 1), (2, 1, 2), (1, 3, 1), (1, 2, 2), (1, 1, 3),
- (2, 1, 1, 1), (1, 2, 1, 1), (1, 1, 2, 1), (1, 1, 1, 2),
- (1, 1, 1, 1, 1).
A337243飞机按行读取三角形,其中的行对成分属于通过增加长度,然后通过增加柱状图顺序.例如,第五行显示
- (5),
- (4, 1), (3, 2), (2, 3), (1, 4),
- (3, 1, 1), (2, 2, 1), (1, 3, 1), (2, 1, 2), (1, 2, 2), (1, 1, 3),
- (2, 1, 1, 1), (1, 2, 1, 1), (1, 1, 2, 1), (1, 1, 1, 2),
- (1, 1, 1, 1, 1).
A337259型按行读取三角形,其中的行对成分属于增加长度,然后减少柱状图顺序.例如,第五行显示
- (5),
- (1, 4), (2, 3), (3, 2), (4, 1),
- (1, 1, 3), (1, 2, 2), (2, 1, 2), (1, 3, 1), (2, 2, 1), (3, 1, 1),
- (1, 1, 1, 2), (1, 1, 2, 1), (1, 2, 1, 1), (2, 1, 1, 1),
- (1, 1, 1, 1, 1).
A296773型按行读取三角形,其中的行对成分属于通过减少长度,然后通过增加词典编纂顺序.例如,第五行显示
- (1, 1, 1, 1, 1),
- (1, 1, 1, 2), (1, 1, 2, 1), (1, 2, 1, 1), (2, 1, 1, 1),
- (1, 1, 3), (1, 2, 2), (1, 3, 1), (2, 1, 2), (2, 2, 1), (3, 1, 1),
- (1, 4), (2, 3), (3, 2), (4, 1),
- (5).
A296772型按行读取三角形,其中的行对成分属于先减小长度,然后再减小词典编纂顺序.例如,第五行显示
- (1, 1, 1, 1, 1),
- (2, 1, 1, 1), (1, 2, 1, 1), (1, 1, 2, 1), (1, 1, 1, 2),
- (3, 1, 1), (2, 2, 1), (2, 1, 2), (1, 3, 1), (1, 2, 2), (1, 1, 3),
- (4, 1), (3, 2), (2, 3), (1, 4),
- (5).
A337260型按行读取三角形,其中的行对成分属于通过减少长度,然后通过增加柱状图顺序.例如,第五行显示
- (1, 1, 1, 1, 1),
- (2, 1, 1, 1), (1, 2, 1, 1), (1, 1, 2, 1), (1, 1, 1, 2),
- (3, 1, 1), (2, 2, 1), (1, 3, 1), (2, 1, 2), (1, 2, 2), (1, 1, 3),
- (4, 1), (3, 2), (2, 3), (1, 4),
- (5).
A108244号按行读取三角形,其中的行对成分属于先减小长度,然后再减小柱状图顺序。类似于分区的“Maple”排序,A080576号.例如,第五行显示
- (1, 1, 1, 1, 1),
- (1, 1, 1, 2), (1, 1, 2, 1), (1, 2, 1, 1), (2, 1, 1, 1),
- (1, 1, 3), (1, 2, 2), (2, 1, 2), (1, 3, 1), (2, 2, 1), (3, 1, 1),
- (1, 4), (2, 3), (3, 2), (4, 1),
- (5).
A228369号按行读取三角形,其中的行对成分属于通过增加词典编纂顺序.例如,第五行显示
- (1, 1, 1, 1, 1),
- (1, 1, 1, 2), (1, 1, 2, 1), (1, 1, 3), (1, 2, 1, 1),
- (1, 2, 2), (1, 3, 1), (1, 4), (2, 1, 1, 1), (2, 1, 2), (2, 2, 1),
- (2, 3), (3, 1, 1), (3, 2), (4, 1),
- (5).
A066099型按行读取三角形,其中的行对成分属于通过减少词典编纂顺序。这是此数据库中成分的标准排序。类似于分区的“Mathematica”排序,A080577号.例如,第五行显示
- (5),
- (4, 1),
- (3, 2), (3, 1, 1),
- (2, 3), (2, 2, 1), (2, 1, 2), (2, 1, 1, 1),
- (1, 4), (1, 3, 1), (1, 2, 2), (1, 2, 1, 1), (1, 1, 3), (1, 1, 2, 1), (1, 1, 1, 2), (1, 1, 1, 1, 1).
A228525型按行读取三角形,其中的行对成分属于通过增加柱状图顺序.例如,第五行显示
- (1, 1, 1, 1, 1), (2, 1, 1, 1), (1, 2, 1, 1), (3, 1, 1), (1, 1, 2, 1), (2, 2, 1), (1, 3, 1), (4, 1),
- (1, 1, 1, 2), (2, 1, 2), (1, 2, 2), (3, 2),
- (1, 1, 3), (2, 3),
- (1, 4),
- (5).
A228351号按行读取三角形,其中的行对成分属于通过减少柱状图顺序.例如,第五行显示
- (5),
- (1, 4),
- (2, 3), (1, 1, 3),
- (3,2),(1,2,2),(2,1,2),(1,1,1,2),
- (4,1)、(1,3,1)、(2,2,1)、(1,1,2,1)、(3,1,1)、(1,2,1,1)、(2,1,1,1)、(1,1,1,1,1)。
A101211号按行读取三角形:-第行是最左边的运行长度1的,后跟运行长度0的,后跟运行长度1中的等二进制表示属于,A007088号.行有A005811号元素。-
{1,1,1,2,1,1,1,1,2,1,3,1,3,1,2,1,1,1,1,1,1,2,2,2,1,1,1,3,1,4,1,1,3,1,1,2,1,1,1,1 3,1,…}
笔记
- ↑ 我们应该考虑空和在这里前导零没有正常表示(我们将前导零表示为零,只是为了避免零的表示为空,这不方便)。