A274011 - cp's OEIS frontend

A274011 a(n) is the greatest number of elements in a partition of n into distinct parts such that no two elements add to another.

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

[1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 8]

cp's OEIS Frontend

A274011 a(n) is the greatest number of elements in a partition of n into distinct parts such that no two elements add to another.

Table of values

List of values

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

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

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