A357892 - cp's OEIS frontend

A357892 T(n,k) are the values of a variant of the Chebyshev polynomials P(n,x) of order n evaluated at x = k, where T(n,k), n >= 0, k <= n is a triangle read by rows. P(0,x) = 1, P(1,x) = x, P(n,x) = x*P(n-1,x) - P(n-2,x).

n	a(n)
0	1
1	0
2	1
3	-1
4	0
5	3
6	0
7	-1
8	4
9	21
10	1
11	-1
12	5
13	55
14	209
15	0
16	0
17	6
18	144
19	780
20	2640
21	-1
22	1
23	7
24	377
25	2911
26	12649
27	40391
28	0
29	1
30	8
31	987
32	10864
33	60605
34	235416
35	726103
36	1
37	0
38	9
39	2584
40	40545
41	290376
42	1372105
43	4976784
44	15003009
45	0
46	-1
47	10
48	6765
49	151316
50	1391275
51	7997214
52	34111385
53	118118440
54	350382231

[1, 0, 1, -1, 0, 3, 0, -1, 4, 21, 1, -1, 5, 55, 209, 0, 0, 6, 144, 780, 2640, -1, 1, 7, 377, 2911, 12649, 40391, 0, 1, 8, 987, 10864, 60605, 235416, 726103, 1, 0, 9, 2584, 40545, 290376, 1372105, 4976784, 15003009, 0, -1, 10, 6765, 151316, 1391275, 7997214, 34111385, 118118440, 350382231]

cp's OEIS Frontend

A357892 T(n,k) are the values of a variant of the Chebyshev polynomials P(n,x) of order n evaluated at x = k, where T(n,k), n >= 0, k <= n is a triangle read by rows. P(0,x) = 1, P(1,x) = x, P(n,x) = x*P(n-1,x) - P(n-2,x).

Table of values

List of values