A197115 - cp's OEIS frontend

A197115 Nonsquare positive integers k such that the fundamental unit of the quadratic field Q(sqrt(k)) has norm -1 and can be written as x + y*sqrt(d) with integers x, y where d is the squarefree part of k.

n	a(n)
1	2
2	8
3	10
4	17
5	18
6	26
7	32
8	37
9	40
10	41
11	50
12	58
13	65
14	68
15	72
16	73
17	74
18	82
19	89
20	90
21	97
22	98
23	101
24	104
25	106
26	113
27	122
28	128
29	130
30	137
31	145
32	148
33	153
34	160
35	162
36	164
37	170
38	185
39	193
40	197
41	200
42	202
43	218
44	226
45	232
46	233
47	234
48	241
49	242
50	250
51	257
52	260
53	265
54	269
55	272
56	274

[2, 8, 10, 17, 18, 26, 32, 37, 40, 41, 50, 58, 65, 68, 72, 73, 74, 82, 89, 90, 97, 98, 101, 104, 106, 113, 122, 128, 130, 137, 145, 148, 153, 160, 162, 164, 170, 185, 193, 197, 200, 202, 218, 226, 232, 233, 234, 241, 242, 250, 257, 260, 265, 269, 272, 274]

cp's OEIS Frontend

A197115 Nonsquare positive integers k such that the fundamental unit of the quadratic field Q(sqrt(k)) has norm -1 and can be written as x + y*sqrt(d) with integers x, y where d is the squarefree part of k.

Table of values

List of values

n	a(n)
1	2
2	8
3	10
4	17
5	18
6	26
7	32
8	37
9	40
10	41
11	50
12	58
13	65
14	68
15	72
16	73
17	74
18	82
19	89
20	90
21	97
22	98
23	101
24	104
25	106
26	113
27	122
28	128
29	130
30	137
31	145
32	148
33	153
34	160
35	162
36	164
37	170
38	185
39	193
40	197
41	200
42	202
43	218
44	226
45	232
46	233
47	234
48	241
49	242
50	250
51	257
52	260
53	265
54	269
55	272
56	274

n	a(n)
1	2
2	8
3	10
4	17
5	18
6	26
7	32
8	37
9	40
10	41
11	50
12	58
13	65
14	68
15	72
16	73
17	74
18	82
19	89
20	90
21	97
22	98
23	101
24	104
25	106
26	113
27	122
28	128
29	130
30	137
31	145
32	148
33	153
34	160
35	162
36	164
37	170
38	185
39	193
40	197
41	200
42	202
43	218
44	226
45	232
46	233
47	234
48	241
49	242
50	250
51	257
52	260
53	265
54	269
55	272
56	274

n	a(n)
1	2
2	8
3	10
4	17
5	18
6	26
7	32
8	37
9	40
10	41
11	50
12	58
13	65
14	68
15	72
16	73
17	74
18	82
19	89
20	90
21	97
22	98
23	101
24	104
25	106
26	113
27	122
28	128
29	130
30	137
31	145
32	148
33	153
34	160
35	162
36	164
37	170
38	185
39	193
40	197
41	200
42	202
43	218
44	226
45	232
46	233
47	234
48	241
49	242
50	250
51	257
52	260
53	265
54	269
55	272
56	274