A084822 - cp's OEIS frontend

A084822 Signature sequence of x, where x=0.577284608955710564894... (A084823) is the unique number between 0 and 1 having the property that the signature sequence of x is equal to the continued fraction expansion of x.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	1
10	3
11	2
12	1
13	4
14	3
15	2
16	1
17	4
18	3
19	2
20	5
21	1
22	4
23	3
24	2
25	5
26	1
27	4
28	3
29	6
30	2
31	5
32	1
33	4
34	3
35	6
36	2
37	5
38	1
39	4
40	7
41	3
42	6
43	2
44	5
45	1
46	4
47	7
48	3
49	6
50	2
51	5
52	1
53	8
54	4
55	7
56	3
57	6
58	2
59	5
60	1
61	8
62	4
63	7
64	3
65	6
66	2
67	9
68	5
69	1
70	8
71	4
72	7
73	3
74	6
75	2
76	9
77	5
78	1
79	8
80	4
81	7
82	3
83	10
84	6
85	2
86	9
87	5
88	1
89	8
90	4
91	7
92	3
93	10
94	6
95	2
96	9
97	5
98	1
99	8
100	4
101	11
102	7
103	3

[1, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 5, 1, 4, 3, 2, 5, 1, 4, 3, 6, 2, 5, 1, 4, 3, 6, 2, 5, 1, 4, 7, 3, 6, 2, 5, 1, 4, 7, 3, 6, 2, 5, 1, 8, 4, 7, 3, 6, 2, 5, 1, 8, 4, 7, 3, 6, 2, 9, 5, 1, 8, 4, 7, 3, 6, 2, 9, 5, 1, 8, 4, 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 7, 3, 10, 6, 2, 9, 5, 1, 8, 4, 11, 7, 3]

cp's OEIS Frontend

A084822 Signature sequence of x, where x=0.577284608955710564894... (A084823) is the unique number between 0 and 1 having the property that the signature sequence of x is equal to the continued fraction expansion of x.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	1
10	3
11	2
12	1
13	4
14	3
15	2
16	1
17	4
18	3
19	2
20	5
21	1
22	4
23	3
24	2
25	5
26	1
27	4
28	3
29	6
30	2
31	5
32	1
33	4
34	3
35	6
36	2
37	5
38	1
39	4
40	7
41	3
42	6
43	2
44	5
45	1
46	4
47	7
48	3
49	6
50	2
51	5
52	1
53	8
54	4
55	7
56	3
57	6
58	2
59	5
60	1
61	8
62	4
63	7
64	3
65	6
66	2
67	9
68	5
69	1
70	8
71	4
72	7
73	3
74	6
75	2
76	9
77	5
78	1
79	8
80	4
81	7
82	3
83	10
84	6
85	2
86	9
87	5
88	1
89	8
90	4
91	7
92	3
93	10
94	6
95	2
96	9
97	5
98	1
99	8
100	4
101	11
102	7
103	3

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	1
10	3
11	2
12	1
13	4
14	3
15	2
16	1
17	4
18	3
19	2
20	5
21	1
22	4
23	3
24	2
25	5
26	1
27	4
28	3
29	6
30	2
31	5
32	1
33	4
34	3
35	6
36	2
37	5
38	1
39	4
40	7
41	3
42	6
43	2
44	5
45	1
46	4
47	7
48	3
49	6
50	2
51	5
52	1
53	8
54	4
55	7
56	3
57	6
58	2
59	5
60	1
61	8
62	4
63	7
64	3
65	6
66	2
67	9
68	5
69	1
70	8
71	4
72	7
73	3
74	6
75	2
76	9
77	5
78	1
79	8
80	4
81	7
82	3
83	10
84	6
85	2
86	9
87	5
88	1
89	8
90	4
91	7
92	3
93	10
94	6
95	2
96	9
97	5
98	1
99	8
100	4
101	11
102	7
103	3

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	1
7	3
8	2
9	1
10	3
11	2
12	1
13	4
14	3
15	2
16	1
17	4
18	3
19	2
20	5
21	1
22	4
23	3
24	2
25	5
26	1
27	4
28	3
29	6
30	2
31	5
32	1
33	4
34	3
35	6
36	2
37	5
38	1
39	4
40	7
41	3
42	6
43	2
44	5
45	1
46	4
47	7
48	3
49	6
50	2
51	5
52	1
53	8
54	4
55	7
56	3
57	6
58	2
59	5
60	1
61	8
62	4
63	7
64	3
65	6
66	2
67	9
68	5
69	1
70	8
71	4
72	7
73	3
74	6
75	2
76	9
77	5
78	1
79	8
80	4
81	7
82	3
83	10
84	6
85	2
86	9
87	5
88	1
89	8
90	4
91	7
92	3
93	10
94	6
95	2
96	9
97	5
98	1
99	8
100	4
101	11
102	7
103	3