A360296 - cp's OEIS frontend

A360296 a(1) = 1, and for any n > 1, a(n) is the sum of the terms of the sequence at indices k < n whose binary digits appear in order but not necessarily as consecutive digits in the binary representation of n.

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	2
8	4
9	8
10	11
11	8
12	8
13	11
14	8
15	4
16	8
17	20
18	34
19	26
20	34
21	51
22	40
23	20
24	20
25	40
26	51
27	34
28	26
29	34
30	20
31	8
32	16
33	48
34	96
35	76
36	118
37	186
38	152
39	76
40	96
41	208
42	281
43	186
44	152
45	208
46	124
47	48
48	48
49	124
50	208
51	152
52	186
53	281
54	208
55	96
56	76
57	152
58	186
59	118
60	76
61	96
62	48
63	16
64	32

[1, 1, 1, 2, 3, 3, 2, 4, 8, 11, 8, 8, 11, 8, 4, 8, 20, 34, 26, 34, 51, 40, 20, 20, 40, 51, 34, 26, 34, 20, 8, 16, 48, 96, 76, 118, 186, 152, 76, 96, 208, 281, 186, 152, 208, 124, 48, 48, 124, 208, 152, 186, 281, 208, 96, 76, 152, 186, 118, 76, 96, 48, 16, 32]

cp's OEIS Frontend

A360296 a(1) = 1, and for any n > 1, a(n) is the sum of the terms of the sequence at indices k < n whose binary digits appear in order but not necessarily as consecutive digits in the binary representation of n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	2
8	4
9	8
10	11
11	8
12	8
13	11
14	8
15	4
16	8
17	20
18	34
19	26
20	34
21	51
22	40
23	20
24	20
25	40
26	51
27	34
28	26
29	34
30	20
31	8
32	16
33	48
34	96
35	76
36	118
37	186
38	152
39	76
40	96
41	208
42	281
43	186
44	152
45	208
46	124
47	48
48	48
49	124
50	208
51	152
52	186
53	281
54	208
55	96
56	76
57	152
58	186
59	118
60	76
61	96
62	48
63	16
64	32

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	2
8	4
9	8
10	11
11	8
12	8
13	11
14	8
15	4
16	8
17	20
18	34
19	26
20	34
21	51
22	40
23	20
24	20
25	40
26	51
27	34
28	26
29	34
30	20
31	8
32	16
33	48
34	96
35	76
36	118
37	186
38	152
39	76
40	96
41	208
42	281
43	186
44	152
45	208
46	124
47	48
48	48
49	124
50	208
51	152
52	186
53	281
54	208
55	96
56	76
57	152
58	186
59	118
60	76
61	96
62	48
63	16
64	32

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	3
7	2
8	4
9	8
10	11
11	8
12	8
13	11
14	8
15	4
16	8
17	20
18	34
19	26
20	34
21	51
22	40
23	20
24	20
25	40
26	51
27	34
28	26
29	34
30	20
31	8
32	16
33	48
34	96
35	76
36	118
37	186
38	152
39	76
40	96
41	208
42	281
43	186
44	152
45	208
46	124
47	48
48	48
49	124
50	208
51	152
52	186
53	281
54	208
55	96
56	76
57	152
58	186
59	118
60	76
61	96
62	48
63	16
64	32