A133009 - cp's OEIS frontend

A133009 One defining property of the sequences {A, B} = {A000069, A001969} is that they are the unique pair of sets complementary with respect to the nonnegative integers such that q(n) = |{x : x, y in A, x < y, x + y = n}| = |{x : x, y in B, x < y, x + y = n}| for all n >= 0. The present sequence gives the values of q(n).

n	a(n)
0	0
1	0
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	1
12	2
13	1
14	1
15	4
16	1
17	2
18	3
19	1
20	3
21	3
22	2
23	4
24	3
25	2
26	3
27	5
28	2
29	5
30	5
31	0
32	5
33	6
34	3
35	5
36	5
37	3
38	4
39	8
40	4
41	4
42	6
43	5
44	5
45	7
46	6
47	4
48	7
49	6
50	5
51	9
52	5
53	7
54	8
55	4
56	7
57	10
58	7
59	5
60	10
61	5
62	5
63	16
64	5
65	6
66	11
67	5
68	9
69	11
70	8
71	8
72	10
73	8
74	8
75	13
76	7
77	11
78	12
79	4
80	12
81	12
82	8
83	13
84	10
85	9
86	11
87	12
88	10
89	12
90	12

[0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 4, 1, 2, 3, 1, 3, 3, 2, 4, 3, 2, 3, 5, 2, 5, 5, 0, 5, 6, 3, 5, 5, 3, 4, 8, 4, 4, 6, 5, 5, 7, 6, 4, 7, 6, 5, 9, 5, 7, 8, 4, 7, 10, 7, 5, 10, 5, 5, 16, 5, 6, 11, 5, 9, 11, 8, 8, 10, 8, 8, 13, 7, 11, 12, 4, 12, 12, 8, 13, 10, 9, 11, 12, 10, 12, 12]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
0	0
1	0
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	1
12	2
13	1
14	1
15	4
16	1
17	2
18	3
19	1
20	3
21	3
22	2
23	4
24	3
25	2
26	3
27	5
28	2
29	5
30	5
31	0
32	5
33	6
34	3
35	5
36	5
37	3
38	4
39	8
40	4
41	4
42	6
43	5
44	5
45	7
46	6
47	4
48	7
49	6
50	5
51	9
52	5
53	7
54	8
55	4
56	7
57	10
58	7
59	5
60	10
61	5
62	5
63	16
64	5
65	6
66	11
67	5
68	9
69	11
70	8
71	8
72	10
73	8
74	8
75	13
76	7
77	11
78	12
79	4
80	12
81	12
82	8
83	13
84	10
85	9
86	11
87	12
88	10
89	12
90	12

n	a(n)
0	0
1	0
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	1
12	2
13	1
14	1
15	4
16	1
17	2
18	3
19	1
20	3
21	3
22	2
23	4
24	3
25	2
26	3
27	5
28	2
29	5
30	5
31	0
32	5
33	6
34	3
35	5
36	5
37	3
38	4
39	8
40	4
41	4
42	6
43	5
44	5
45	7
46	6
47	4
48	7
49	6
50	5
51	9
52	5
53	7
54	8
55	4
56	7
57	10
58	7
59	5
60	10
61	5
62	5
63	16
64	5
65	6
66	11
67	5
68	9
69	11
70	8
71	8
72	10
73	8
74	8
75	13
76	7
77	11
78	12
79	4
80	12
81	12
82	8
83	13
84	10
85	9
86	11
87	12
88	10
89	12
90	12

n	a(n)
0	0
1	0
2	0
3	1
4	0
5	1
6	1
7	0
8	1
9	2
10	1
11	1
12	2
13	1
14	1
15	4
16	1
17	2
18	3
19	1
20	3
21	3
22	2
23	4
24	3
25	2
26	3
27	5
28	2
29	5
30	5
31	0
32	5
33	6
34	3
35	5
36	5
37	3
38	4
39	8
40	4
41	4
42	6
43	5
44	5
45	7
46	6
47	4
48	7
49	6
50	5
51	9
52	5
53	7
54	8
55	4
56	7
57	10
58	7
59	5
60	10
61	5
62	5
63	16
64	5
65	6
66	11
67	5
68	9
69	11
70	8
71	8
72	10
73	8
74	8
75	13
76	7
77	11
78	12
79	4
80	12
81	12
82	8
83	13
84	10
85	9
86	11
87	12
88	10
89	12
90	12