A119608 - cp's OEIS frontend

A119608 Let b(1)=0, b(2)= 1. b(2^m +k) = (b(2^m+1-k) + b(k))/2, 1 <= k <= 2^m, m >= 0. a(n) is numerator of b(n).

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

[0, 1, 1, 1, 1, 3, 3, 1, 1, 7, 5, 3, 3, 5, 7, 1, 1, 15, 9, 7, 5, 11, 13, 3, 3, 13, 11, 5, 7, 9, 15, 1, 1, 31, 17, 15, 9, 23, 25, 7, 5, 27, 21, 11, 13, 19, 29, 3, 3, 29, 19, 13, 11, 21, 27, 5, 7, 25, 23, 9, 15, 17, 31, 1, 1, 63, 33, 31, 17, 47, 49, 15, 9, 55, 41, 23, 25, 39, 57, 7, 5, 59, 37]

cp's OEIS Frontend

A119608 Let b(1)=0, b(2)= 1. b(2^m +k) = (b(2^m+1-k) + b(k))/2, 1 <= k <= 2^m, m >= 0. a(n) is numerator of b(n).

Table of values

List of values

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

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

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