A239500 - cp's OEIS frontend

A239500 Number of partitions p of n such that if h = (number of parts of p), then h is an (h,1)-separator of p; see Comments.

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	2
14	3
15	3
16	4
17	4
18	5
19	5
20	6
21	7
22	8
23	9
24	11
25	12
26	13
27	15
28	16
29	18
30	20
31	22
32	24
33	27
34	29
35	32
36	36
37	39
38	43
39	48
40	53
41	58
42	65
43	70
44	78
45	85
46	93
47	101
48	112
49	120
50	132
51	143
52	156
53	168
54	184
55	198
56	216
57	233
58	253
59	273
60	298
61	320
62	348
63	376
64	407
65	439

[0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 18, 20, 22, 24, 27, 29, 32, 36, 39, 43, 48, 53, 58, 65, 70, 78, 85, 93, 101, 112, 120, 132, 143, 156, 168, 184, 198, 216, 233, 253, 273, 298, 320, 348, 376, 407, 439]

cp's OEIS Frontend

A239500 Number of partitions p of n such that if h = (number of parts of p), then h is an (h,1)-separator of p; see Comments.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	2
14	3
15	3
16	4
17	4
18	5
19	5
20	6
21	7
22	8
23	9
24	11
25	12
26	13
27	15
28	16
29	18
30	20
31	22
32	24
33	27
34	29
35	32
36	36
37	39
38	43
39	48
40	53
41	58
42	65
43	70
44	78
45	85
46	93
47	101
48	112
49	120
50	132
51	143
52	156
53	168
54	184
55	198
56	216
57	233
58	253
59	273
60	298
61	320
62	348
63	376
64	407
65	439

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	2
14	3
15	3
16	4
17	4
18	5
19	5
20	6
21	7
22	8
23	9
24	11
25	12
26	13
27	15
28	16
29	18
30	20
31	22
32	24
33	27
34	29
35	32
36	36
37	39
38	43
39	48
40	53
41	58
42	65
43	70
44	78
45	85
46	93
47	101
48	112
49	120
50	132
51	143
52	156
53	168
54	184
55	198
56	216
57	233
58	253
59	273
60	298
61	320
62	348
63	376
64	407
65	439

n	a(n)
1	0
2	0
3	1
4	0
5	1
6	1
7	1
8	1
9	1
10	2
11	2
12	3
13	2
14	3
15	3
16	4
17	4
18	5
19	5
20	6
21	7
22	8
23	9
24	11
25	12
26	13
27	15
28	16
29	18
30	20
31	22
32	24
33	27
34	29
35	32
36	36
37	39
38	43
39	48
40	53
41	58
42	65
43	70
44	78
45	85
46	93
47	101
48	112
49	120
50	132
51	143
52	156
53	168
54	184
55	198
56	216
57	233
58	253
59	273
60	298
61	320
62	348
63	376
64	407
65	439