A065019 - cp's OEIS frontend

A065019 Let phi be the golden number {1+sqrt(5)}/2 (A001622), let phi(n) be the number phi written in base 10 but truncated to n decimal digits. Sequence gives number of 1's at the beginning of the continued fraction expansion of phi(n).

n	a(n)
0	1
1	3
2	5
3	11
4	11
5	13
6	15
7	17
8	19
9	21
10	25
11	27
12	29
13	31
14	35
15	35
16	39
17	41
18	45
19	49
20	49
21	51
22	53
23	55
24	57
25	61
26	63
27	65
28	67
29	69
30	73
31	75
32	77
33	81
34	83
35	83
36	87
37	91
38	95
39	95
40	99
41	99
42	103
43	103
44	105
45	107
46	113
47	113
48	115
49	117
50	121
51	123
52	125
53	129
54	131
55	133
56	135
57	137
58	139
59	141
60	143
61	147
62	149

[1, 3, 5, 11, 11, 13, 15, 17, 19, 21, 25, 27, 29, 31, 35, 35, 39, 41, 45, 49, 49, 51, 53, 55, 57, 61, 63, 65, 67, 69, 73, 75, 77, 81, 83, 83, 87, 91, 95, 95, 99, 99, 103, 103, 105, 107, 113, 113, 115, 117, 121, 123, 125, 129, 131, 133, 135, 137, 139, 141, 143, 147, 149]

cp's OEIS Frontend

A065019 Let phi be the golden number {1+sqrt(5)}/2 (A001622), let phi(n) be the number phi written in base 10 but truncated to n decimal digits. Sequence gives number of 1's at the beginning of the continued fraction expansion of phi(n).

Table of values

List of values

n	a(n)
0	1
1	3
2	5
3	11
4	11
5	13
6	15
7	17
8	19
9	21
10	25
11	27
12	29
13	31
14	35
15	35
16	39
17	41
18	45
19	49
20	49
21	51
22	53
23	55
24	57
25	61
26	63
27	65
28	67
29	69
30	73
31	75
32	77
33	81
34	83
35	83
36	87
37	91
38	95
39	95
40	99
41	99
42	103
43	103
44	105
45	107
46	113
47	113
48	115
49	117
50	121
51	123
52	125
53	129
54	131
55	133
56	135
57	137
58	139
59	141
60	143
61	147
62	149

n	a(n)
0	1
1	3
2	5
3	11
4	11
5	13
6	15
7	17
8	19
9	21
10	25
11	27
12	29
13	31
14	35
15	35
16	39
17	41
18	45
19	49
20	49
21	51
22	53
23	55
24	57
25	61
26	63
27	65
28	67
29	69
30	73
31	75
32	77
33	81
34	83
35	83
36	87
37	91
38	95
39	95
40	99
41	99
42	103
43	103
44	105
45	107
46	113
47	113
48	115
49	117
50	121
51	123
52	125
53	129
54	131
55	133
56	135
57	137
58	139
59	141
60	143
61	147
62	149

n	a(n)
0	1
1	3
2	5
3	11
4	11
5	13
6	15
7	17
8	19
9	21
10	25
11	27
12	29
13	31
14	35
15	35
16	39
17	41
18	45
19	49
20	49
21	51
22	53
23	55
24	57
25	61
26	63
27	65
28	67
29	69
30	73
31	75
32	77
33	81
34	83
35	83
36	87
37	91
38	95
39	95
40	99
41	99
42	103
43	103
44	105
45	107
46	113
47	113
48	115
49	117
50	121
51	123
52	125
53	129
54	131
55	133
56	135
57	137
58	139
59	141
60	143
61	147
62	149