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A123583 Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - T_n(x)^2, where T_n(x) is the n-th Chebyshev polynomial of the first kind.

Table of values

n a(n)
0 0
1 1
2 0
3 -1
4 0
5 0
6 4
7 0
8 -4
9 1
10 0
11 -9
12 0
13 24
14 0
15 -16
16 0
17 0
18 16
19 0
20 -80
21 0
22 128
23 0
24 -64
25 1
26 0
27 -25
28 0
29 200
30 0
31 -560
32 0
33 640
34 0
35 -256
36 0
37 0
38 36
39 0
40 -420
41 0
42 1792
43 0
44 -3456
45 0
46 3072
47 0
48 -1024
49 1
50 0
51 -49
52 0
53 784
54 0
55 -4704
56 0
57 13440
58 0
59 -19712
60 0
61 14336
62 0
63 -4096

List of values

[0, 1, 0, -1, 0, 0, 4, 0, -4, 1, 0, -9, 0, 24, 0, -16, 0, 0, 16, 0, -80, 0, 128, 0, -64, 1, 0, -25, 0, 200, 0, -560, 0, 640, 0, -256, 0, 0, 36, 0, -420, 0, 1792, 0, -3456, 0, 3072, 0, -1024, 1, 0, -49, 0, 784, 0, -4704, 0, 13440, 0, -19712, 0, 14336, 0, -4096]