A180870 - cp's OEIS frontend

A180870 D(n, x) is the Dirichlet kernel sin((n+1/2)x)/sin(x/2). The triangle gives in row n the coefficients of descending powers of x of the polynomial D(n, arccos(x)).

n	a(n)
0	1
1	2
2	1
3	4
4	2
5	-1
6	8
7	4
8	-4
9	-1
10	16
11	8
12	-12
13	-4
14	1
15	32
16	16
17	-32
18	-12
19	6
20	1
21	64
22	32
23	-80
24	-32
25	24
26	6
27	-1
28	128
29	64
30	-192
31	-80
32	80
33	24
34	-8
35	-1
36	256
37	128
38	-448
39	-192
40	240
41	80
42	-40
43	-8
44	1
45	512
46	256
47	-1024
48	-448
49	672
50	240
51	-160
52	-40
53	10
54	1

[1, 2, 1, 4, 2, -1, 8, 4, -4, -1, 16, 8, -12, -4, 1, 32, 16, -32, -12, 6, 1, 64, 32, -80, -32, 24, 6, -1, 128, 64, -192, -80, 80, 24, -8, -1, 256, 128, -448, -192, 240, 80, -40, -8, 1, 512, 256, -1024, -448, 672, 240, -160, -40, 10, 1]

cp's OEIS Frontend

A180870 D(n, x) is the Dirichlet kernel sin((n+1/2)x)/sin(x/2). The triangle gives in row n the coefficients of descending powers of x of the polynomial D(n, arccos(x)).

Table of values

List of values