A290284 - cp's OEIS frontend

A290284 Number of pairs of integers (x,y) satisfying the Diophantine equation x^2 - A000037(n)*y^2 = m such that x/y gives a convergent series towards sqrt(A000037(n)).

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

[3, 3, 5, 4, 5, 4, 7, 6, 5, 15, 8, 5, 9, 7, 12, 6, 10, 12, 9, 6, 11, 9, 12, 21, 7, 17, 9, 10, 11, 7, 13, 10, 9, 9, 19, 8, 20, 15, 13, 24, 12, 8, 15, 12, 16, 27, 16, 13, 9, 14, 27, 17, 12]

cp's OEIS Frontend

A290284 Number of pairs of integers (x,y) satisfying the Diophantine equation x^2 - A000037(n)*y^2 = m such that x/y gives a convergent series towards sqrt(A000037(n)).

Table of values

List of values

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

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

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