A146478 - cp's OEIS frontend

A146478 a(n) = length of period of continued fraction (1 + sqrt(prime(n)))/2.

n	a(n)
1	2
2	2
3	1
4	4
5	2
6	1
7	3
8	6
9	4
10	1
11	8
12	3
13	5
14	10
15	4
16	1
17	6
18	3
19	10
20	8
21	9
22	4
23	2
24	7
25	9
26	3
27	12
28	6
29	7
30	7
31	12
32	6
33	7
34	18
35	5
36	20
37	5
38	18
39	4
40	1
41	14
42	5
43	16
44	15
45	3
46	20
47	26
48	4
49	2
50	1
51	9
52	12
53	19
54	14
55	3
56	12
57	5
58	24
59	9
60	15
61	18
62	1
63	14
64	16
65	19
66	3
67	34
68	21
69	14
70	9
71	9
72	4
73	20
74	7
75	30
76	8
77	7
78	5
79	3
80	27
81	18
82	13
83	16
84	23
85	4
86	2
87	19
88	23
89	3

[2, 2, 1, 4, 2, 1, 3, 6, 4, 1, 8, 3, 5, 10, 4, 1, 6, 3, 10, 8, 9, 4, 2, 7, 9, 3, 12, 6, 7, 7, 12, 6, 7, 18, 5, 20, 5, 18, 4, 1, 14, 5, 16, 15, 3, 20, 26, 4, 2, 1, 9, 12, 19, 14, 3, 12, 5, 24, 9, 15, 18, 1, 14, 16, 19, 3, 34, 21, 14, 9, 9, 4, 20, 7, 30, 8, 7, 5, 3, 27, 18, 13, 16, 23, 4, 2, 19, 23, 3]

cp's OEIS Frontend

A146478 a(n) = length of period of continued fraction (1 + sqrt(prime(n)))/2.

Table of values

List of values

n	a(n)
1	2
2	2
3	1
4	4
5	2
6	1
7	3
8	6
9	4
10	1
11	8
12	3
13	5
14	10
15	4
16	1
17	6
18	3
19	10
20	8
21	9
22	4
23	2
24	7
25	9
26	3
27	12
28	6
29	7
30	7
31	12
32	6
33	7
34	18
35	5
36	20
37	5
38	18
39	4
40	1
41	14
42	5
43	16
44	15
45	3
46	20
47	26
48	4
49	2
50	1
51	9
52	12
53	19
54	14
55	3
56	12
57	5
58	24
59	9
60	15
61	18
62	1
63	14
64	16
65	19
66	3
67	34
68	21
69	14
70	9
71	9
72	4
73	20
74	7
75	30
76	8
77	7
78	5
79	3
80	27
81	18
82	13
83	16
84	23
85	4
86	2
87	19
88	23
89	3

n	a(n)
1	2
2	2
3	1
4	4
5	2
6	1
7	3
8	6
9	4
10	1
11	8
12	3
13	5
14	10
15	4
16	1
17	6
18	3
19	10
20	8
21	9
22	4
23	2
24	7
25	9
26	3
27	12
28	6
29	7
30	7
31	12
32	6
33	7
34	18
35	5
36	20
37	5
38	18
39	4
40	1
41	14
42	5
43	16
44	15
45	3
46	20
47	26
48	4
49	2
50	1
51	9
52	12
53	19
54	14
55	3
56	12
57	5
58	24
59	9
60	15
61	18
62	1
63	14
64	16
65	19
66	3
67	34
68	21
69	14
70	9
71	9
72	4
73	20
74	7
75	30
76	8
77	7
78	5
79	3
80	27
81	18
82	13
83	16
84	23
85	4
86	2
87	19
88	23
89	3

n	a(n)
1	2
2	2
3	1
4	4
5	2
6	1
7	3
8	6
9	4
10	1
11	8
12	3
13	5
14	10
15	4
16	1
17	6
18	3
19	10
20	8
21	9
22	4
23	2
24	7
25	9
26	3
27	12
28	6
29	7
30	7
31	12
32	6
33	7
34	18
35	5
36	20
37	5
38	18
39	4
40	1
41	14
42	5
43	16
44	15
45	3
46	20
47	26
48	4
49	2
50	1
51	9
52	12
53	19
54	14
55	3
56	12
57	5
58	24
59	9
60	15
61	18
62	1
63	14
64	16
65	19
66	3
67	34
68	21
69	14
70	9
71	9
72	4
73	20
74	7
75	30
76	8
77	7
78	5
79	3
80	27
81	18
82	13
83	16
84	23
85	4
86	2
87	19
88	23
89	3