A385394 - cp's OEIS frontend

A385394 a(n) = (Sum_{k=0..n} (binomial(n, k) mod 8)) / 2^bitcount(n).

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

[1, 1, 2, 2, 8, 4, 8, 4, 8, 8, 6, 6, 10, 8, 5, 4, 8, 8, 10, 8, 12, 6, 11, 6, 10, 10, 11, 7, 9, 7, 7, 4, 8, 8, 10, 8, 16, 12, 15, 10, 12, 12, 9, 9, 13, 11, 10, 6, 10, 10, 13, 11, 15, 11, 11, 7, 9, 9, 10, 7, 11, 7, 7, 4, 8, 8, 10, 8, 16, 12, 15, 10, 16, 16, 15, 13]

cp's OEIS Frontend

A385394 a(n) = (Sum_{k=0..n} (binomial(n, k) mod 8)) / 2^bitcount(n).

Table of values

List of values

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

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

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