A298210 - cp's OEIS frontend

A298210 Smallest n such that A001542(a(n)) == 0 (mod n), i.e., x=A001541(a(n)) and y=A001542(a(n)) is the fundamental solution of the Pell equation x^2 - 2(ny)^2 = 1.

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

[1, 1, 2, 2, 3, 2, 3, 4, 6, 3, 6, 2, 7, 3, 6, 8, 4, 6, 10, 6, 6, 6, 11, 4, 15, 7, 18, 6, 5, 6, 15, 16, 6, 4, 3, 6, 19, 10, 14, 12, 5, 6, 22, 6, 6, 11, 23, 8, 21, 15, 4, 14, 27, 18, 6, 12, 10, 5, 10, 6, 31, 15, 6, 32, 21, 6, 34, 4, 22, 3, 35, 12, 18, 19, 30]

cp's OEIS Frontend

A298210 Smallest n such that A001542(a(n)) == 0 (mod n), i.e., x=A001541(a(n)) and y=A001542(a(n)) is the fundamental solution of the Pell equation x^2 - 2(ny)^2 = 1.

Table of values

List of values

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

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

cp's OEIS Frontend

A298210 Smallest n such that A001542(a(n)) == 0 (mod n), i.e., x=A001541(a(n)) and y=A001542(a(n)) is the fundamental solution of the Pell equation x^2 - 2*(n*y)^2 = 1.

Table of values

List of values

A298210 Smallest n such that A001542(a(n)) == 0 (mod n), i.e., x=A001541(a(n)) and y=A001542(a(n)) is the fundamental solution of the Pell equation x^2 - 2(ny)^2 = 1.

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