A351652 - cp's OEIS frontend

A351652 a(1) = 1; for n > 1, a(n) is the smallest positive integer not occurring earlier such that the intersection of the periodic parts of the continued fractions for square roots of a(n) and a(n-1) is the empty set.

n	a(n)
1	1
2	2
3	4
4	3
5	5
6	9
7	6
8	10
9	7
10	11
11	8
12	12
13	16
14	13
15	17
16	14
17	18
18	15
19	20
20	25
21	19
22	26
23	21
24	27
25	22
26	36
27	23
28	30
29	24
30	28
31	37
32	29
33	38
34	31
35	39
36	32
37	40
38	33
39	49
40	34
41	41
42	35
43	42
44	50
45	43
46	51
47	44
48	64
49	45
50	65
51	46
52	66
53	47
54	55
55	48
56	56
57	68
58	53
59	72
60	57
61	81
62	52
63	82
64	54
65	83
66	58
67	84
68	59

[1, 2, 4, 3, 5, 9, 6, 10, 7, 11, 8, 12, 16, 13, 17, 14, 18, 15, 20, 25, 19, 26, 21, 27, 22, 36, 23, 30, 24, 28, 37, 29, 38, 31, 39, 32, 40, 33, 49, 34, 41, 35, 42, 50, 43, 51, 44, 64, 45, 65, 46, 66, 47, 55, 48, 56, 68, 53, 72, 57, 81, 52, 82, 54, 83, 58, 84, 59]

cp's OEIS Frontend

A351652 a(1) = 1; for n > 1, a(n) is the smallest positive integer not occurring earlier such that the intersection of the periodic parts of the continued fractions for square roots of a(n) and a(n-1) is the empty set.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	3
5	5
6	9
7	6
8	10
9	7
10	11
11	8
12	12
13	16
14	13
15	17
16	14
17	18
18	15
19	20
20	25
21	19
22	26
23	21
24	27
25	22
26	36
27	23
28	30
29	24
30	28
31	37
32	29
33	38
34	31
35	39
36	32
37	40
38	33
39	49
40	34
41	41
42	35
43	42
44	50
45	43
46	51
47	44
48	64
49	45
50	65
51	46
52	66
53	47
54	55
55	48
56	56
57	68
58	53
59	72
60	57
61	81
62	52
63	82
64	54
65	83
66	58
67	84
68	59

n	a(n)
1	1
2	2
3	4
4	3
5	5
6	9
7	6
8	10
9	7
10	11
11	8
12	12
13	16
14	13
15	17
16	14
17	18
18	15
19	20
20	25
21	19
22	26
23	21
24	27
25	22
26	36
27	23
28	30
29	24
30	28
31	37
32	29
33	38
34	31
35	39
36	32
37	40
38	33
39	49
40	34
41	41
42	35
43	42
44	50
45	43
46	51
47	44
48	64
49	45
50	65
51	46
52	66
53	47
54	55
55	48
56	56
57	68
58	53
59	72
60	57
61	81
62	52
63	82
64	54
65	83
66	58
67	84
68	59

n	a(n)
1	1
2	2
3	4
4	3
5	5
6	9
7	6
8	10
9	7
10	11
11	8
12	12
13	16
14	13
15	17
16	14
17	18
18	15
19	20
20	25
21	19
22	26
23	21
24	27
25	22
26	36
27	23
28	30
29	24
30	28
31	37
32	29
33	38
34	31
35	39
36	32
37	40
38	33
39	49
40	34
41	41
42	35
43	42
44	50
45	43
46	51
47	44
48	64
49	45
50	65
51	46
52	66
53	47
54	55
55	48
56	56
57	68
58	53
59	72
60	57
61	81
62	52
63	82
64	54
65	83
66	58
67	84
68	59