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A123588 Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - ChT(n, x^(1/2))^2, where ChT(n, x) is the n-th Chebyshev polynomial of the first kind, evaluated at x (0 <= k <= n).

Table of values

n a(n)
0 0
1 1
2 -1
3 0
4 4
5 -4
6 1
7 -9
8 24
9 -16
10 0
11 16
12 -80
13 128
14 -64
15 1
16 -25
17 200
18 -560
19 640
20 -256
21 0
22 36
23 -420
24 1792
25 -3456
26 3072
27 -1024
28 1
29 -49
30 784
31 -4704
32 13440
33 -19712
34 14336
35 -4096
36 0
37 64
38 -1344
39 10752
40 -42240
41 90112
42 -106496
43 65536
44 -16384
45 1
46 -81
47 2160
48 -22176
49 114048
50 -329472
51 559104
52 -552960
53 294912

List of values

[0, 1, -1, 0, 4, -4, 1, -9, 24, -16, 0, 16, -80, 128, -64, 1, -25, 200, -560, 640, -256, 0, 36, -420, 1792, -3456, 3072, -1024, 1, -49, 784, -4704, 13440, -19712, 14336, -4096, 0, 64, -1344, 10752, -42240, 90112, -106496, 65536, -16384, 1, -81, 2160, -22176, 114048, -329472, 559104, -552960, 294912]