A298211 - cp's OEIS frontend

A298211 Smallest n such that A001353(a(n)) == 0 (mod n), i.e., x=A001075(a(n)) and y=A001353(a(n)) is the fundamental solution of the Pell equation x^2 - 3(ny)^2 = 1.

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

[1, 2, 3, 2, 3, 6, 4, 4, 9, 6, 5, 6, 6, 4, 3, 8, 9, 18, 5, 6, 12, 10, 11, 12, 15, 6, 27, 4, 15, 6, 16, 16, 15, 18, 12, 18, 18, 10, 6, 12, 7, 12, 11, 10, 9, 22, 23, 24, 28, 30, 9, 6, 9, 54, 15, 4, 15, 30, 29, 6, 30, 16, 36, 32, 6, 30, 17, 18, 33, 12, 7, 36, 18, 18, 15]

cp's OEIS Frontend

A298211 Smallest n such that A001353(a(n)) == 0 (mod n), i.e., x=A001075(a(n)) and y=A001353(a(n)) is the fundamental solution of the Pell equation x^2 - 3(ny)^2 = 1.

Table of values

List of values

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

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

cp's OEIS Frontend

A298211 Smallest n such that A001353(a(n)) == 0 (mod n), i.e., x=A001075(a(n)) and y=A001353(a(n)) is the fundamental solution of the Pell equation x^2 - 3*(n*y)^2 = 1.

Table of values

List of values

A298211 Smallest n such that A001353(a(n)) == 0 (mod n), i.e., x=A001075(a(n)) and y=A001353(a(n)) is the fundamental solution of the Pell equation x^2 - 3(ny)^2 = 1.

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