A165419 - cp's OEIS frontend

A165419 Each a(n) is chosen so that n = sum a(k), for all n >= 0, where k is over the distinct nonnegative values of the substrings in binary n.

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

[0, 1, 1, 2, 2, 3, 2, 4, 4, 5, 5, 4, 4, 4, 4, 8, 8, 9, 9, 8, 8, 11, 9, 8, 8, 8, 8, 10, 8, 8, 8, 16, 16, 17, 17, 16, 18, 16, 17, 16, 16, 16, 21, 16, 16, 19, 17, 16, 16, 16, 16, 18, 16, 16, 18, 16, 16, 16, 16, 16, 16, 16, 16, 32, 32, 33, 33, 32, 34, 32, 33, 32, 32, 37, 32, 32, 34, 32, 33]

cp's OEIS Frontend

A165419 Each a(n) is chosen so that n = sum a(k), for all n >= 0, where k is over the distinct nonnegative values of the substrings in binary n.

Table of values

List of values

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

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

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