A140129 - cp's OEIS frontend

A140129 Let c(n) = 0 if n=1, (c(floor(n/2)) + c(floor((n+1)/2)))/2 if 1 < n < 3*2^floor(log_2(n)-1), and c(n-2^floor(log_2(n))) + 1 otherwise. Then a(n) = numerator(c(n)).

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	1
13	3
14	2
15	3
16	0
17	1
18	1
19	3
20	1
21	5
22	3
23	7
24	1
25	5
26	3
27	7
28	2
29	5
30	3
31	4
32	0
33	1
34	1
35	3
36	1
37	5
38	3
39	7
40	1
41	9
42	5
43	11
44	3
45	13
46	7
47	15
48	1
49	9
50	5
51	11
52	3
53	13
54	7
55	15
56	2
57	9
58	5
59	11
60	3
61	7
62	4
63	5
64	0
65	1
66	1
67	3
68	1
69	5
70	3
71	7
72	1
73	9
74	5
75	11
76	3
77	13
78	7
79	15
80	1
81	17
82	9
83	19
84	5
85	21
86	11
87	23
88	3
89	25
90	13
91	27
92	7
93	29
94	15
95	31

[0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 3, 1, 3, 2, 3, 0, 1, 1, 3, 1, 5, 3, 7, 1, 5, 3, 7, 2, 5, 3, 4, 0, 1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 15, 1, 9, 5, 11, 3, 13, 7, 15, 2, 9, 5, 11, 3, 7, 4, 5, 0, 1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 7, 15, 1, 17, 9, 19, 5, 21, 11, 23, 3, 25, 13, 27, 7, 29, 15, 31]

cp's OEIS Frontend

A140129 Let c(n) = 0 if n=1, (c(floor(n/2)) + c(floor((n+1)/2)))/2 if 1 < n < 3*2^floor(log_2(n)-1), and c(n-2^floor(log_2(n))) + 1 otherwise. Then a(n) = numerator(c(n)).

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	1
13	3
14	2
15	3
16	0
17	1
18	1
19	3
20	1
21	5
22	3
23	7
24	1
25	5
26	3
27	7
28	2
29	5
30	3
31	4
32	0
33	1
34	1
35	3
36	1
37	5
38	3
39	7
40	1
41	9
42	5
43	11
44	3
45	13
46	7
47	15
48	1
49	9
50	5
51	11
52	3
53	13
54	7
55	15
56	2
57	9
58	5
59	11
60	3
61	7
62	4
63	5
64	0
65	1
66	1
67	3
68	1
69	5
70	3
71	7
72	1
73	9
74	5
75	11
76	3
77	13
78	7
79	15
80	1
81	17
82	9
83	19
84	5
85	21
86	11
87	23
88	3
89	25
90	13
91	27
92	7
93	29
94	15
95	31

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	1
13	3
14	2
15	3
16	0
17	1
18	1
19	3
20	1
21	5
22	3
23	7
24	1
25	5
26	3
27	7
28	2
29	5
30	3
31	4
32	0
33	1
34	1
35	3
36	1
37	5
38	3
39	7
40	1
41	9
42	5
43	11
44	3
45	13
46	7
47	15
48	1
49	9
50	5
51	11
52	3
53	13
54	7
55	15
56	2
57	9
58	5
59	11
60	3
61	7
62	4
63	5
64	0
65	1
66	1
67	3
68	1
69	5
70	3
71	7
72	1
73	9
74	5
75	11
76	3
77	13
78	7
79	15
80	1
81	17
82	9
83	19
84	5
85	21
86	11
87	23
88	3
89	25
90	13
91	27
92	7
93	29
94	15
95	31

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	3
12	1
13	3
14	2
15	3
16	0
17	1
18	1
19	3
20	1
21	5
22	3
23	7
24	1
25	5
26	3
27	7
28	2
29	5
30	3
31	4
32	0
33	1
34	1
35	3
36	1
37	5
38	3
39	7
40	1
41	9
42	5
43	11
44	3
45	13
46	7
47	15
48	1
49	9
50	5
51	11
52	3
53	13
54	7
55	15
56	2
57	9
58	5
59	11
60	3
61	7
62	4
63	5
64	0
65	1
66	1
67	3
68	1
69	5
70	3
71	7
72	1
73	9
74	5
75	11
76	3
77	13
78	7
79	15
80	1
81	17
82	9
83	19
84	5
85	21
86	11
87	23
88	3
89	25
90	13
91	27
92	7
93	29
94	15
95	31