A307744 - cp's OEIS frontend

A307744 A fractal function, related to ruler functions and the Cantor set. a(1) = 0; for m >= 0, a(3m) = 1; for m >= 1, a(3m-1) = a(m-1) + sign(a(m-1)), a(3m+1) = a(m+1) + sign(a(m+1)).

n	a(n)
0	1
1	0
2	2
3	1
4	3
5	0
6	1
7	2
8	3
9	1
10	4
11	2
12	1
13	0
14	4
15	1
16	2
17	0
18	1
19	3
20	2
21	1
22	4
23	3
24	1
25	2
26	4
27	1
28	5
29	2
30	1
31	3
32	5
33	1
34	2
35	3
36	1
37	0
38	2
39	1
40	5
41	0
42	1
43	2
44	5
45	1
46	3
47	2
48	1
49	0
50	3
51	1
52	2
53	0
54	1
55	4
56	2
57	1
58	3
59	4
60	1
61	2
62	3
63	1
64	5
65	2
66	1
67	4
68	5
69	1
70	2
71	4
72	1
73	3
74	2
75	1
76	5
77	3
78	1
79	2
80	5
81	1
82	6
83	2
84	1

[1, 0, 2, 1, 3, 0, 1, 2, 3, 1, 4, 2, 1, 0, 4, 1, 2, 0, 1, 3, 2, 1, 4, 3, 1, 2, 4, 1, 5, 2, 1, 3, 5, 1, 2, 3, 1, 0, 2, 1, 5, 0, 1, 2, 5, 1, 3, 2, 1, 0, 3, 1, 2, 0, 1, 4, 2, 1, 3, 4, 1, 2, 3, 1, 5, 2, 1, 4, 5, 1, 2, 4, 1, 3, 2, 1, 5, 3, 1, 2, 5, 1, 6, 2, 1]

cp's OEIS Frontend

A307744 A fractal function, related to ruler functions and the Cantor set. a(1) = 0; for m >= 0, a(3m) = 1; for m >= 1, a(3m-1) = a(m-1) + sign(a(m-1)), a(3m+1) = a(m+1) + sign(a(m+1)).

Table of values

List of values

n	a(n)
0	1
1	0
2	2
3	1
4	3
5	0
6	1
7	2
8	3
9	1
10	4
11	2
12	1
13	0
14	4
15	1
16	2
17	0
18	1
19	3
20	2
21	1
22	4
23	3
24	1
25	2
26	4
27	1
28	5
29	2
30	1
31	3
32	5
33	1
34	2
35	3
36	1
37	0
38	2
39	1
40	5
41	0
42	1
43	2
44	5
45	1
46	3
47	2
48	1
49	0
50	3
51	1
52	2
53	0
54	1
55	4
56	2
57	1
58	3
59	4
60	1
61	2
62	3
63	1
64	5
65	2
66	1
67	4
68	5
69	1
70	2
71	4
72	1
73	3
74	2
75	1
76	5
77	3
78	1
79	2
80	5
81	1
82	6
83	2
84	1

n	a(n)
0	1
1	0
2	2
3	1
4	3
5	0
6	1
7	2
8	3
9	1
10	4
11	2
12	1
13	0
14	4
15	1
16	2
17	0
18	1
19	3
20	2
21	1
22	4
23	3
24	1
25	2
26	4
27	1
28	5
29	2
30	1
31	3
32	5
33	1
34	2
35	3
36	1
37	0
38	2
39	1
40	5
41	0
42	1
43	2
44	5
45	1
46	3
47	2
48	1
49	0
50	3
51	1
52	2
53	0
54	1
55	4
56	2
57	1
58	3
59	4
60	1
61	2
62	3
63	1
64	5
65	2
66	1
67	4
68	5
69	1
70	2
71	4
72	1
73	3
74	2
75	1
76	5
77	3
78	1
79	2
80	5
81	1
82	6
83	2
84	1

n	a(n)
0	1
1	0
2	2
3	1
4	3
5	0
6	1
7	2
8	3
9	1
10	4
11	2
12	1
13	0
14	4
15	1
16	2
17	0
18	1
19	3
20	2
21	1
22	4
23	3
24	1
25	2
26	4
27	1
28	5
29	2
30	1
31	3
32	5
33	1
34	2
35	3
36	1
37	0
38	2
39	1
40	5
41	0
42	1
43	2
44	5
45	1
46	3
47	2
48	1
49	0
50	3
51	1
52	2
53	0
54	1
55	4
56	2
57	1
58	3
59	4
60	1
61	2
62	3
63	1
64	5
65	2
66	1
67	4
68	5
69	1
70	2
71	4
72	1
73	3
74	2
75	1
76	5
77	3
78	1
79	2
80	5
81	1
82	6
83	2
84	1