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A273169 Numerators of coefficient triangle for integrated even powers of cos(x) in terms of x and sin(2*m*x).

Table of values

n a(n)
0 1
1 1
2 1
3 3
4 1
5 1
6 5
7 15
8 3
9 1
10 35
11 7
12 7
13 1
14 1
15 63
16 105
17 15
18 15
19 5
20 1
21 231
22 99
23 495
24 55
25 33
26 3
27 1
28 429
29 3003
30 1001
31 1001
32 91
33 91
34 7
35 1
36 6435
37 715
38 1001
39 91
40 455
41 7
42 5
43 1
44 1
45 12155
46 21879
47 1989
48 1547
49 1071
50 153
51 17
52 153
53 9
54 1
55 46189
56 20995
57 62985
58 1615
59 4845
60 969
61 1615
62 285
63 95
64 5
65 1

List of values

[1, 1, 1, 3, 1, 1, 5, 15, 3, 1, 35, 7, 7, 1, 1, 63, 105, 15, 15, 5, 1, 231, 99, 495, 55, 33, 3, 1, 429, 3003, 1001, 1001, 91, 91, 7, 1, 6435, 715, 1001, 91, 455, 7, 5, 1, 1, 12155, 21879, 1989, 1547, 1071, 153, 17, 153, 9, 1, 46189, 20995, 62985, 1615, 4845, 969, 1615, 285, 95, 5, 1]