A233592 - cp's OEIS frontend

A233592 Positive integers k such that the continued fraction expansion sqrt(k) = c(1) + c(1)/(c(2) + c(2)/(c(3) + c(3)/...)) is periodic.

n	a(n)
1	2
2	3
3	5
4	6
5	8
6	10
7	11
8	12
9	15
10	17
11	18
12	20
13	24
14	26
15	27
16	30
17	35
18	37
19	38
20	39
21	40
22	42
23	44
24	45
25	48
26	50
27	51
28	56
29	63
30	65
31	66
32	68
33	72
34	80
35	82
36	83
37	84
38	87
39	90
40	99
41	101
42	102
43	104
44	105
45	108
46	110
47	120
48	122
49	123
50	132
51	143
52	145

[2, 3, 5, 6, 8, 10, 11, 12, 15, 17, 18, 20, 24, 26, 27, 30, 35, 37, 38, 39, 40, 42, 44, 45, 48, 50, 51, 56, 63, 65, 66, 68, 72, 80, 82, 83, 84, 87, 90, 99, 101, 102, 104, 105, 108, 110, 120, 122, 123, 132, 143, 145]

cp's OEIS Frontend

A233592 Positive integers k such that the continued fraction expansion sqrt(k) = c(1) + c(1)/(c(2) + c(2)/(c(3) + c(3)/...)) is periodic.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	6
5	8
6	10
7	11
8	12
9	15
10	17
11	18
12	20
13	24
14	26
15	27
16	30
17	35
18	37
19	38
20	39
21	40
22	42
23	44
24	45
25	48
26	50
27	51
28	56
29	63
30	65
31	66
32	68
33	72
34	80
35	82
36	83
37	84
38	87
39	90
40	99
41	101
42	102
43	104
44	105
45	108
46	110
47	120
48	122
49	123
50	132
51	143
52	145

n	a(n)
1	2
2	3
3	5
4	6
5	8
6	10
7	11
8	12
9	15
10	17
11	18
12	20
13	24
14	26
15	27
16	30
17	35
18	37
19	38
20	39
21	40
22	42
23	44
24	45
25	48
26	50
27	51
28	56
29	63
30	65
31	66
32	68
33	72
34	80
35	82
36	83
37	84
38	87
39	90
40	99
41	101
42	102
43	104
44	105
45	108
46	110
47	120
48	122
49	123
50	132
51	143
52	145

n	a(n)
1	2
2	3
3	5
4	6
5	8
6	10
7	11
8	12
9	15
10	17
11	18
12	20
13	24
14	26
15	27
16	30
17	35
18	37
19	38
20	39
21	40
22	42
23	44
24	45
25	48
26	50
27	51
28	56
29	63
30	65
31	66
32	68
33	72
34	80
35	82
36	83
37	84
38	87
39	90
40	99
41	101
42	102
43	104
44	105
45	108
46	110
47	120
48	122
49	123
50	132
51	143
52	145