A353201 - cp's OEIS frontend

A353201 a(n) = smallest m such that f(m,x) is divisible by g(n,x), where f(m,x) = U(m-1,x/2), and U(k,x) is the k-th Chebyshev polynomial of the second kind over the field GF(2); g(n,x) is the polynomial over GF(2) whose coefficients correspond to the binary digits of n.

n	a(n)
1	1
2	2
3	3
4	4
5	3
6	6
7	5
8	4
9	15
10	6
11	9
12	12
13	7
14	10
15	6
16	8
17	6
18	30
19	17
20	12
21	5
22	18
23	21
24	12
25	15
26	14
27	15
28	20
29	9
30	6
31	17
32	8
33	51
34	6
35	35
36	60
37	31
38	34
39	9
40	12
41	31
42	10
43	15
44	36
45	30
46	42
47	33
48	24
49	45
50	30
51	12
52	28
53	51
54	30
55	11
56	20
57	21
58	18
59	33
60	12
61	31
62	34
63	15
64	8
65	15
66	102
67	65
68	12
69	9
70	70
71	93
72	60
73	63
74	62
75	42
76	68

[1, 2, 3, 4, 3, 6, 5, 4, 15, 6, 9, 12, 7, 10, 6, 8, 6, 30, 17, 12, 5, 18, 21, 12, 15, 14, 15, 20, 9, 6, 17, 8, 51, 6, 35, 60, 31, 34, 9, 12, 31, 10, 15, 36, 30, 42, 33, 24, 45, 30, 12, 28, 51, 30, 11, 20, 21, 18, 33, 12, 31, 34, 15, 8, 15, 102, 65, 12, 9, 70, 93, 60, 63, 62, 42, 68]

cp's OEIS Frontend

A353201 a(n) = smallest m such that f(m,x) is divisible by g(n,x), where f(m,x) = U(m-1,x/2), and U(k,x) is the k-th Chebyshev polynomial of the second kind over the field GF(2); g(n,x) is the polynomial over GF(2) whose coefficients correspond to the binary digits of n.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	3
6	6
7	5
8	4
9	15
10	6
11	9
12	12
13	7
14	10
15	6
16	8
17	6
18	30
19	17
20	12
21	5
22	18
23	21
24	12
25	15
26	14
27	15
28	20
29	9
30	6
31	17
32	8
33	51
34	6
35	35
36	60
37	31
38	34
39	9
40	12
41	31
42	10
43	15
44	36
45	30
46	42
47	33
48	24
49	45
50	30
51	12
52	28
53	51
54	30
55	11
56	20
57	21
58	18
59	33
60	12
61	31
62	34
63	15
64	8
65	15
66	102
67	65
68	12
69	9
70	70
71	93
72	60
73	63
74	62
75	42
76	68

n	a(n)
1	1
2	2
3	3
4	4
5	3
6	6
7	5
8	4
9	15
10	6
11	9
12	12
13	7
14	10
15	6
16	8
17	6
18	30
19	17
20	12
21	5
22	18
23	21
24	12
25	15
26	14
27	15
28	20
29	9
30	6
31	17
32	8
33	51
34	6
35	35
36	60
37	31
38	34
39	9
40	12
41	31
42	10
43	15
44	36
45	30
46	42
47	33
48	24
49	45
50	30
51	12
52	28
53	51
54	30
55	11
56	20
57	21
58	18
59	33
60	12
61	31
62	34
63	15
64	8
65	15
66	102
67	65
68	12
69	9
70	70
71	93
72	60
73	63
74	62
75	42
76	68

n	a(n)
1	1
2	2
3	3
4	4
5	3
6	6
7	5
8	4
9	15
10	6
11	9
12	12
13	7
14	10
15	6
16	8
17	6
18	30
19	17
20	12
21	5
22	18
23	21
24	12
25	15
26	14
27	15
28	20
29	9
30	6
31	17
32	8
33	51
34	6
35	35
36	60
37	31
38	34
39	9
40	12
41	31
42	10
43	15
44	36
45	30
46	42
47	33
48	24
49	45
50	30
51	12
52	28
53	51
54	30
55	11
56	20
57	21
58	18
59	33
60	12
61	31
62	34
63	15
64	8
65	15
66	102
67	65
68	12
69	9
70	70
71	93
72	60
73	63
74	62
75	42
76	68