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A282011 Number T(n,k) of k-element subsets of [n] having an even sum; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 1
5 0
6 1
7 1
8 1
9 1
10 1
11 2
12 2
13 2
14 1
15 1
16 2
17 4
18 6
19 3
20 0
21 1
22 3
23 6
24 10
25 9
26 3
27 0
28 1
29 3
30 9
31 19
32 19
33 9
34 3
35 1
36 1
37 4
38 12
39 28
40 38
41 28
42 12
43 4
44 1
45 1
46 4
47 16
48 44
49 66
50 60
51 40
52 20
53 5
54 0
55 1
56 5
57 20
58 60
59 110
60 126
61 100
62 60
63 25
64 5
65 0
66 1
67 5
68 25
69 85
70 170
71 226
72 226
73 170
74 85
75 25
76 5
77 1
78 1
79 6
80 30
81 110
82 255
83 396
84 452
85 396
86 255
87 110
88 30
89 6
90 1

List of values

[1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 4, 6, 3, 0, 1, 3, 6, 10, 9, 3, 0, 1, 3, 9, 19, 19, 9, 3, 1, 1, 4, 12, 28, 38, 28, 12, 4, 1, 1, 4, 16, 44, 66, 60, 40, 20, 5, 0, 1, 5, 20, 60, 110, 126, 100, 60, 25, 5, 0, 1, 5, 25, 85, 170, 226, 226, 170, 85, 25, 5, 1, 1, 6, 30, 110, 255, 396, 452, 396, 255, 110, 30, 6, 1]