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A270825 a(n) = Sum_{i=0..n} (-1)^floor(i/2)*floor(sqrt(i)).

Table of values

n a(n)
0 0
1 1
2 0
3 -1
4 1
5 3
6 1
7 -1
8 1
9 4
10 1
11 -2
12 1
13 4
14 1
15 -2
16 2
17 6
18 2
19 -2
20 2
21 6
22 2
23 -2
24 2
25 7
26 2
27 -3
28 2
29 7
30 2
31 -3
32 2
33 7
34 2
35 -3
36 3
37 9
38 3
39 -3
40 3
41 9
42 3
43 -3
44 3
45 9
46 3
47 -3
48 3
49 10
50 3
51 -4
52 3
53 10
54 3
55 -4
56 3
57 10
58 3
59 -4
60 3
61 10
62 3
63 -4
64 4
65 12
66 4
67 -4
68 4
69 12
70 4
71 -4
72 4
73 12
74 4
75 -4
76 4

List of values

[0, 1, 0, -1, 1, 3, 1, -1, 1, 4, 1, -2, 1, 4, 1, -2, 2, 6, 2, -2, 2, 6, 2, -2, 2, 7, 2, -3, 2, 7, 2, -3, 2, 7, 2, -3, 3, 9, 3, -3, 3, 9, 3, -3, 3, 9, 3, -3, 3, 10, 3, -4, 3, 10, 3, -4, 3, 10, 3, -4, 3, 10, 3, -4, 4, 12, 4, -4, 4, 12, 4, -4, 4, 12, 4, -4, 4]

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