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A274575 For m=1,2,3,... write all the 2^m binary vectors of length m in increasing order, and replace each vector with (number of 1's) - (number of 0's). Start with an initial 0 for the empty vector.

Table of values

n a(n)
0 0
1 -1
2 1
3 -2
4 0
5 0
6 2
7 -3
8 -1
9 -1
10 1
11 -1
12 1
13 1
14 3
15 -4
16 -2
17 -2
18 0
19 -2
20 0
21 0
22 2
23 -2
24 0
25 0
26 2
27 0
28 2
29 2
30 4
31 -5
32 -3
33 -3
34 -1
35 -3
36 -1
37 -1
38 1
39 -3
40 -1
41 -1
42 1
43 -1
44 1
45 1
46 3
47 -3
48 -1
49 -1
50 1
51 -1
52 1
53 1
54 3
55 -1
56 1
57 1
58 3
59 1
60 3
61 3
62 5
63 -6
64 -4
65 -4
66 -2
67 -4
68 -2
69 -2
70 0
71 -4
72 -2
73 -2
74 0
75 -2
76 0
77 0
78 2
79 -4
80 -2
81 -2
82 0
83 -2
84 0
85 0
86 2
87 -2
88 0
89 0
90 2
91 0
92 2
93 2
94 4
95 -4
96 -2
97 -2
98 0
99 -2
100 0
101 0
102 2
103 -2
104 0
105 0
106 2
107 0
108 2
109 2
110 4
111 -2
112 0
113 0
114 2
115 0
116 2
117 2
118 4
119 0

List of values

[0, -1, 1, -2, 0, 0, 2, -3, -1, -1, 1, -1, 1, 1, 3, -4, -2, -2, 0, -2, 0, 0, 2, -2, 0, 0, 2, 0, 2, 2, 4, -5, -3, -3, -1, -3, -1, -1, 1, -3, -1, -1, 1, -1, 1, 1, 3, -3, -1, -1, 1, -1, 1, 1, 3, -1, 1, 1, 3, 1, 3, 3, 5, -6, -4, -4, -2, -4, -2, -2, 0, -4, -2, -2, 0, -2, 0, 0, 2, -4, -2, -2, 0, -2, 0, 0, 2, -2, 0, 0, 2, 0, 2, 2, 4, -4, -2, -2, 0, -2, 0, 0, 2, -2, 0, 0, 2, 0, 2, 2, 4, -2, 0, 0, 2, 0, 2, 2, 4, 0]