A387388 - cp's OEIS frontend

A387388 a(n) is the maximum number of ways in which any strict partition of 2n can be partitioned into two disjoint subsets of equal sum.

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	4
15	4
16	4
17	4
18	7
19	6
20	6
21	6
22	6
23	11
24	11
25	10
26	10
27	10
28	19
29	18
30	18
31	18
32	17
33	35
34	33
35	32
36	32
37	31
38	31
39	62
40	60
41	58
42	57
43	57
44	55
45	56
46	108
47	105
48	103
49	101
50	100
51	100
52	99
53	195
54	191
55	187
56	184
57	182
58	181
59	180
60	361
61	352
62	344
63	340
64	336
65	333

[0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, 4, 4, 4, 7, 6, 6, 6, 6, 11, 11, 10, 10, 10, 19, 18, 18, 18, 17, 35, 33, 32, 32, 31, 31, 62, 60, 58, 57, 57, 55, 56, 108, 105, 103, 101, 100, 100, 99, 195, 191, 187, 184, 182, 181, 180, 361, 352, 344, 340, 336, 333]

cp's OEIS Frontend

A387388 a(n) is the maximum number of ways in which any strict partition of 2n can be partitioned into two disjoint subsets of equal sum.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	4
15	4
16	4
17	4
18	7
19	6
20	6
21	6
22	6
23	11
24	11
25	10
26	10
27	10
28	19
29	18
30	18
31	18
32	17
33	35
34	33
35	32
36	32
37	31
38	31
39	62
40	60
41	58
42	57
43	57
44	55
45	56
46	108
47	105
48	103
49	101
50	100
51	100
52	99
53	195
54	191
55	187
56	184
57	182
58	181
59	180
60	361
61	352
62	344
63	340
64	336
65	333

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	4
15	4
16	4
17	4
18	7
19	6
20	6
21	6
22	6
23	11
24	11
25	10
26	10
27	10
28	19
29	18
30	18
31	18
32	17
33	35
34	33
35	32
36	32
37	31
38	31
39	62
40	60
41	58
42	57
43	57
44	55
45	56
46	108
47	105
48	103
49	101
50	100
51	100
52	99
53	195
54	191
55	187
56	184
57	182
58	181
59	180
60	361
61	352
62	344
63	340
64	336
65	333

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	2
13	2
14	4
15	4
16	4
17	4
18	7
19	6
20	6
21	6
22	6
23	11
24	11
25	10
26	10
27	10
28	19
29	18
30	18
31	18
32	17
33	35
34	33
35	32
36	32
37	31
38	31
39	62
40	60
41	58
42	57
43	57
44	55
45	56
46	108
47	105
48	103
49	101
50	100
51	100
52	99
53	195
54	191
55	187
56	184
57	182
58	181
59	180
60	361
61	352
62	344
63	340
64	336
65	333