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A100257 Triangle of expansions of 2^(k-1)*x^k in terms of T(n,x), in descending degrees n of T, with T the Chebyshev polynomials.

Table of values

n a(n)
0 1
1 1
2 0
3 1
4 0
5 1
6 1
7 0
8 3
9 0
10 1
11 0
12 4
13 0
14 3
15 1
16 0
17 5
18 0
19 10
20 0
21 1
22 0
23 6
24 0
25 15
26 0
27 10
28 1
29 0
30 7
31 0
32 21
33 0
34 35
35 0
36 1
37 0
38 8
39 0
40 28
41 0
42 56
43 0
44 35
45 1
46 0
47 9
48 0
49 36
50 0
51 84
52 0
53 126
54 0
55 1
56 0
57 10
58 0
59 45
60 0
61 120
62 0
63 210
64 0
65 126
66 1
67 0
68 11
69 0
70 55
71 0
72 165
73 0
74 330
75 0
76 462
77 0
78 1
79 0
80 12
81 0
82 66
83 0
84 220
85 0

List of values

[1, 1, 0, 1, 0, 1, 1, 0, 3, 0, 1, 0, 4, 0, 3, 1, 0, 5, 0, 10, 0, 1, 0, 6, 0, 15, 0, 10, 1, 0, 7, 0, 21, 0, 35, 0, 1, 0, 8, 0, 28, 0, 56, 0, 35, 1, 0, 9, 0, 36, 0, 84, 0, 126, 0, 1, 0, 10, 0, 45, 0, 120, 0, 210, 0, 126, 1, 0, 11, 0, 55, 0, 165, 0, 330, 0, 462, 0, 1, 0, 12, 0, 66, 0, 220, 0]