A233593 - cp's OEIS frontend

A233593 Positive integers k such that the continued fraction expansion sqrt(k) = c(1) + c(1)/(c(2) + c(2)/(c(3) + c(3)/....)) is aperiodic.

n	a(n)
1	7
2	13
3	14
4	19
5	21
6	22
7	23
8	28
9	29
10	31
11	32
12	33
13	34
14	41
15	43
16	46
17	47
18	52
19	53
20	54
21	55
22	57
23	58
24	59
25	60
26	61
27	62
28	67
29	69
30	70
31	71
32	73
33	74
34	75
35	76
36	77
37	78
38	79
39	85
40	86
41	88
42	89
43	91
44	92
45	93
46	94
47	95
48	96
49	97
50	98
51	103
52	106
53	107

[7, 13, 14, 19, 21, 22, 23, 28, 29, 31, 32, 33, 34, 41, 43, 46, 47, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 67, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 85, 86, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 103, 106, 107]

cp's OEIS Frontend

A233593 Positive integers k such that the continued fraction expansion sqrt(k) = c(1) + c(1)/(c(2) + c(2)/(c(3) + c(3)/....)) is aperiodic.

Table of values

List of values

n	a(n)
1	7
2	13
3	14
4	19
5	21
6	22
7	23
8	28
9	29
10	31
11	32
12	33
13	34
14	41
15	43
16	46
17	47
18	52
19	53
20	54
21	55
22	57
23	58
24	59
25	60
26	61
27	62
28	67
29	69
30	70
31	71
32	73
33	74
34	75
35	76
36	77
37	78
38	79
39	85
40	86
41	88
42	89
43	91
44	92
45	93
46	94
47	95
48	96
49	97
50	98
51	103
52	106
53	107

n	a(n)
1	7
2	13
3	14
4	19
5	21
6	22
7	23
8	28
9	29
10	31
11	32
12	33
13	34
14	41
15	43
16	46
17	47
18	52
19	53
20	54
21	55
22	57
23	58
24	59
25	60
26	61
27	62
28	67
29	69
30	70
31	71
32	73
33	74
34	75
35	76
36	77
37	78
38	79
39	85
40	86
41	88
42	89
43	91
44	92
45	93
46	94
47	95
48	96
49	97
50	98
51	103
52	106
53	107

n	a(n)
1	7
2	13
3	14
4	19
5	21
6	22
7	23
8	28
9	29
10	31
11	32
12	33
13	34
14	41
15	43
16	46
17	47
18	52
19	53
20	54
21	55
22	57
23	58
24	59
25	60
26	61
27	62
28	67
29	69
30	70
31	71
32	73
33	74
34	75
35	76
36	77
37	78
38	79
39	85
40	86
41	88
42	89
43	91
44	92
45	93
46	94
47	95
48	96
49	97
50	98
51	103
52	106
53	107