A096491 - cp's OEIS frontend

A096491 a(n) = sqrt(n) of n if n is a perfect square, otherwise a(n) = largest term in period of continued fraction expansion of square root of n.

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

[1, 2, 2, 2, 4, 4, 4, 4, 3, 6, 6, 6, 6, 6, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 8, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16]

cp's OEIS Frontend

A096491 a(n) = sqrt(n) of n if n is a perfect square, otherwise a(n) = largest term in period of continued fraction expansion of square root of n.

Table of values

List of values

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

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

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