A335933 - cp's OEIS frontend

A335933 A fractal function, related to ruler functions. a(1) = 0; otherwise for m >= 0, a(3m) = 1, a(3m-1) = a(2m-1) + sign(a(2m-1)), a(3m+1) = a(2m+1) + sign(a(2m+1)).

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

[1, 0, 0, 1, 2, 2, 1, 3, 3, 1, 4, 4, 1, 2, 2, 1, 5, 5, 1, 3, 3, 1, 2, 2, 1, 6, 6, 1, 4, 4, 1, 2, 2, 1, 3, 3, 1, 7, 7, 1, 2, 2, 1, 5, 5, 1, 3, 3, 1, 2, 2, 1, 4, 4, 1, 8, 8, 1, 2, 2, 1, 3, 3, 1, 6, 6, 1, 2, 2, 1, 4, 4, 1, 3, 3, 1, 2, 2, 1, 5, 5, 1]

cp's OEIS Frontend

A335933 A fractal function, related to ruler functions. a(1) = 0; otherwise for m >= 0, a(3m) = 1, a(3m-1) = a(2m-1) + sign(a(2m-1)), a(3m+1) = a(2m+1) + sign(a(2m+1)).

Table of values

List of values

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

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

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