A331216 - cp's OEIS frontend

A331216 a(n) is the number of ways to write n = u + v where the binary representations of u and of v have the same number of 0's and the same number of 1's.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	2
12	1
13	0
14	1
15	0
16	1
17	0
18	1
19	2
20	1
21	2
22	3
23	0
24	3
25	2
26	1
27	2
28	1
29	0
30	1
31	0
32	1
33	0
34	1
35	2
36	1
37	2
38	3
39	0
40	3
41	4
42	3
43	2
44	5
45	2
46	3
47	6
48	3
49	2
50	5
51	2
52	3
53	4
54	3
55	0
56	3
57	2
58	1
59	2
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	2
68	1
69	2
70	3
71	0
72	3
73	4
74	3
75	2
76	5
77	2
78	3
79	6
80	3
81	4
82	7
83	2
84	7
85	6
86	5

[1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 3, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 3, 4, 3, 2, 5, 2, 3, 6, 3, 2, 5, 2, 3, 4, 3, 0, 3, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 3, 0, 3, 4, 3, 2, 5, 2, 3, 6, 3, 4, 7, 2, 7, 6, 5]

cp's OEIS Frontend

A331216 a(n) is the number of ways to write n = u + v where the binary representations of u and of v have the same number of 0's and the same number of 1's.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	2
12	1
13	0
14	1
15	0
16	1
17	0
18	1
19	2
20	1
21	2
22	3
23	0
24	3
25	2
26	1
27	2
28	1
29	0
30	1
31	0
32	1
33	0
34	1
35	2
36	1
37	2
38	3
39	0
40	3
41	4
42	3
43	2
44	5
45	2
46	3
47	6
48	3
49	2
50	5
51	2
52	3
53	4
54	3
55	0
56	3
57	2
58	1
59	2
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	2
68	1
69	2
70	3
71	0
72	3
73	4
74	3
75	2
76	5
77	2
78	3
79	6
80	3
81	4
82	7
83	2
84	7
85	6
86	5

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	2
12	1
13	0
14	1
15	0
16	1
17	0
18	1
19	2
20	1
21	2
22	3
23	0
24	3
25	2
26	1
27	2
28	1
29	0
30	1
31	0
32	1
33	0
34	1
35	2
36	1
37	2
38	3
39	0
40	3
41	4
42	3
43	2
44	5
45	2
46	3
47	6
48	3
49	2
50	5
51	2
52	3
53	4
54	3
55	0
56	3
57	2
58	1
59	2
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	2
68	1
69	2
70	3
71	0
72	3
73	4
74	3
75	2
76	5
77	2
78	3
79	6
80	3
81	4
82	7
83	2
84	7
85	6
86	5

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	0
6	1
7	0
8	1
9	0
10	1
11	2
12	1
13	0
14	1
15	0
16	1
17	0
18	1
19	2
20	1
21	2
22	3
23	0
24	3
25	2
26	1
27	2
28	1
29	0
30	1
31	0
32	1
33	0
34	1
35	2
36	1
37	2
38	3
39	0
40	3
41	4
42	3
43	2
44	5
45	2
46	3
47	6
48	3
49	2
50	5
51	2
52	3
53	4
54	3
55	0
56	3
57	2
58	1
59	2
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	2
68	1
69	2
70	3
71	0
72	3
73	4
74	3
75	2
76	5
77	2
78	3
79	6
80	3
81	4
82	7
83	2
84	7
85	6
86	5