A082388 - cp's OEIS frontend

A082388 a(1) = 1, a(2) = 2; further terms are defined by rules that for k >= 2, a(2^k-i) = a(2^k+i) for 1 <= i <= 2^k-1 and a(2^k) = a(2^(k-1)) + Sum_{i < 2^k} a(i).

n	a(n)
1	1
2	2
3	1
4	6
5	1
6	2
7	1
8	20
9	1
10	2
11	1
12	6
13	1
14	2
15	1
16	68
17	1
18	2
19	1
20	6
21	1
22	2
23	1
24	20
25	1
26	2
27	1
28	6
29	1
30	2
31	1
32	232
33	1
34	2
35	1
36	6
37	1
38	2
39	1
40	20
41	1
42	2
43	1
44	6
45	1
46	2
47	1
48	68
49	1
50	2
51	1
52	6
53	1
54	2
55	1
56	20
57	1
58	2
59	1
60	6
61	1
62	2
63	1
64	792
65	1
66	2
67	1
68	6
69	1
70	2
71	1
72	20
73	1
74	2
75	1
76	6
77	1
78	2
79	1
80	68
81	1
82	2
83	1
84	6
85	1
86	2
87	1
88	20
89	1
90	2
91	1
92	6
93	1
94	2
95	1
96	232
97	1
98	2
99	1

[1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 68, 1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 232, 1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 68, 1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 792, 1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 68, 1, 2, 1, 6, 1, 2, 1, 20, 1, 2, 1, 6, 1, 2, 1, 232, 1, 2, 1]

cp's OEIS Frontend

A082388 a(1) = 1, a(2) = 2; further terms are defined by rules that for k >= 2, a(2^k-i) = a(2^k+i) for 1 <= i <= 2^k-1 and a(2^k) = a(2^(k-1)) + Sum_{i < 2^k} a(i).

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	6
5	1
6	2
7	1
8	20
9	1
10	2
11	1
12	6
13	1
14	2
15	1
16	68
17	1
18	2
19	1
20	6
21	1
22	2
23	1
24	20
25	1
26	2
27	1
28	6
29	1
30	2
31	1
32	232
33	1
34	2
35	1
36	6
37	1
38	2
39	1
40	20
41	1
42	2
43	1
44	6
45	1
46	2
47	1
48	68
49	1
50	2
51	1
52	6
53	1
54	2
55	1
56	20
57	1
58	2
59	1
60	6
61	1
62	2
63	1
64	792
65	1
66	2
67	1
68	6
69	1
70	2
71	1
72	20
73	1
74	2
75	1
76	6
77	1
78	2
79	1
80	68
81	1
82	2
83	1
84	6
85	1
86	2
87	1
88	20
89	1
90	2
91	1
92	6
93	1
94	2
95	1
96	232
97	1
98	2
99	1

n	a(n)
1	1
2	2
3	1
4	6
5	1
6	2
7	1
8	20
9	1
10	2
11	1
12	6
13	1
14	2
15	1
16	68
17	1
18	2
19	1
20	6
21	1
22	2
23	1
24	20
25	1
26	2
27	1
28	6
29	1
30	2
31	1
32	232
33	1
34	2
35	1
36	6
37	1
38	2
39	1
40	20
41	1
42	2
43	1
44	6
45	1
46	2
47	1
48	68
49	1
50	2
51	1
52	6
53	1
54	2
55	1
56	20
57	1
58	2
59	1
60	6
61	1
62	2
63	1
64	792
65	1
66	2
67	1
68	6
69	1
70	2
71	1
72	20
73	1
74	2
75	1
76	6
77	1
78	2
79	1
80	68
81	1
82	2
83	1
84	6
85	1
86	2
87	1
88	20
89	1
90	2
91	1
92	6
93	1
94	2
95	1
96	232
97	1
98	2
99	1

n	a(n)
1	1
2	2
3	1
4	6
5	1
6	2
7	1
8	20
9	1
10	2
11	1
12	6
13	1
14	2
15	1
16	68
17	1
18	2
19	1
20	6
21	1
22	2
23	1
24	20
25	1
26	2
27	1
28	6
29	1
30	2
31	1
32	232
33	1
34	2
35	1
36	6
37	1
38	2
39	1
40	20
41	1
42	2
43	1
44	6
45	1
46	2
47	1
48	68
49	1
50	2
51	1
52	6
53	1
54	2
55	1
56	20
57	1
58	2
59	1
60	6
61	1
62	2
63	1
64	792
65	1
66	2
67	1
68	6
69	1
70	2
71	1
72	20
73	1
74	2
75	1
76	6
77	1
78	2
79	1
80	68
81	1
82	2
83	1
84	6
85	1
86	2
87	1
88	20
89	1
90	2
91	1
92	6
93	1
94	2
95	1
96	232
97	1
98	2
99	1