A164823 - cp's OEIS frontend

A164823 Irregular triangle read by rows, listing the values x for which T_k(x) == 1 (mod j) for j >= 2 and k = 1..j-1, where T_k are the Chebyshev polynomials of the first kind.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	1
10	1
11	4
12	1
13	2
14	1
15	4
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	2
24	3
25	4
26	5
27	1
28	1
29	1
30	6
31	1
32	3
33	1
34	6
35	1
36	1
37	3
38	4
39	6
40	1
41	1
42	3
43	5
44	7
45	1
46	1
47	2
48	3
49	4
50	5
51	6
52	7
53	1
54	1
55	3
56	5
57	7
58	1
59	1
60	1
61	8
62	1
63	4
64	7
65	1
66	3
67	6
68	8
69	1
70	1
71	2
72	4
73	5
74	7
75	8
76	1
77	1
78	3
79	6
80	8
81	1
82	1
83	4
84	6
85	9
86	1
87	7
88	1
89	4
90	5
91	6
92	9
93	1
94	1
95	2
96	3
97	4
98	6
99	7
100	8
101	9
102	1
103	1
104	4
105	5

[1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 4, 1, 2, 1, 4, 1, 1, 2, 4, 5, 1, 1, 2, 3, 4, 5, 1, 1, 1, 6, 1, 3, 1, 6, 1, 1, 3, 4, 6, 1, 1, 3, 5, 7, 1, 1, 2, 3, 4, 5, 6, 7, 1, 1, 3, 5, 7, 1, 1, 1, 8, 1, 4, 7, 1, 3, 6, 8, 1, 1, 2, 4, 5, 7, 8, 1, 1, 3, 6, 8, 1, 1, 4, 6, 9, 1, 7, 1, 4, 5, 6, 9, 1, 1, 2, 3, 4, 6, 7, 8, 9, 1, 1, 4, 5]

cp's OEIS Frontend

A164823 Irregular triangle read by rows, listing the values x for which T_k(x) == 1 (mod j) for j >= 2 and k = 1..j-1, where T_k are the Chebyshev polynomials of the first kind.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	1
10	1
11	4
12	1
13	2
14	1
15	4
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	2
24	3
25	4
26	5
27	1
28	1
29	1
30	6
31	1
32	3
33	1
34	6
35	1
36	1
37	3
38	4
39	6
40	1
41	1
42	3
43	5
44	7
45	1
46	1
47	2
48	3
49	4
50	5
51	6
52	7
53	1
54	1
55	3
56	5
57	7
58	1
59	1
60	1
61	8
62	1
63	4
64	7
65	1
66	3
67	6
68	8
69	1
70	1
71	2
72	4
73	5
74	7
75	8
76	1
77	1
78	3
79	6
80	8
81	1
82	1
83	4
84	6
85	9
86	1
87	7
88	1
89	4
90	5
91	6
92	9
93	1
94	1
95	2
96	3
97	4
98	6
99	7
100	8
101	9
102	1
103	1
104	4
105	5

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	1
10	1
11	4
12	1
13	2
14	1
15	4
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	2
24	3
25	4
26	5
27	1
28	1
29	1
30	6
31	1
32	3
33	1
34	6
35	1
36	1
37	3
38	4
39	6
40	1
41	1
42	3
43	5
44	7
45	1
46	1
47	2
48	3
49	4
50	5
51	6
52	7
53	1
54	1
55	3
56	5
57	7
58	1
59	1
60	1
61	8
62	1
63	4
64	7
65	1
66	3
67	6
68	8
69	1
70	1
71	2
72	4
73	5
74	7
75	8
76	1
77	1
78	3
79	6
80	8
81	1
82	1
83	4
84	6
85	9
86	1
87	7
88	1
89	4
90	5
91	6
92	9
93	1
94	1
95	2
96	3
97	4
98	6
99	7
100	8
101	9
102	1
103	1
104	4
105	5

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	1
9	1
10	1
11	4
12	1
13	2
14	1
15	4
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	2
24	3
25	4
26	5
27	1
28	1
29	1
30	6
31	1
32	3
33	1
34	6
35	1
36	1
37	3
38	4
39	6
40	1
41	1
42	3
43	5
44	7
45	1
46	1
47	2
48	3
49	4
50	5
51	6
52	7
53	1
54	1
55	3
56	5
57	7
58	1
59	1
60	1
61	8
62	1
63	4
64	7
65	1
66	3
67	6
68	8
69	1
70	1
71	2
72	4
73	5
74	7
75	8
76	1
77	1
78	3
79	6
80	8
81	1
82	1
83	4
84	6
85	9
86	1
87	7
88	1
89	4
90	5
91	6
92	9
93	1
94	1
95	2
96	3
97	4
98	6
99	7
100	8
101	9
102	1
103	1
104	4
105	5