A320387 - cp's OEIS frontend

A320387 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are nonincreasing, and first difference <= first part.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	4
10	3
11	4
12	5
13	3
14	5
15	7
16	4
17	7
18	8
19	6
20	8
21	11
22	7
23	9
24	13
25	9
26	11
27	16
28	12
29	15
30	18
31	13
32	17
33	20
34	17
35	21
36	24
37	19
38	24
39	30
40	22
41	28
42	34
43	26
44	34
45	38
46	30
47	37
48	43
49	37
50	42
51	48
52	41
53	50
54	58
55	48
56	55
57	64
58	53
59	64
60	71
61	59
62	73
63	81
64	69
65	79
66	89
67	79
68	90
69	101
70	87
71	100
72	111

[1, 1, 1, 2, 1, 2, 3, 2, 2, 4, 3, 4, 5, 3, 5, 7, 4, 7, 8, 6, 8, 11, 7, 9, 13, 9, 11, 16, 12, 15, 18, 13, 17, 20, 17, 21, 24, 19, 24, 30, 22, 28, 34, 26, 34, 38, 30, 37, 43, 37, 42, 48, 41, 50, 58, 48, 55, 64, 53, 64, 71, 59, 73, 81, 69, 79, 89, 79, 90, 101, 87, 100, 111]

cp's OEIS Frontend

A320387 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are nonincreasing, and first difference <= first part.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	4
10	3
11	4
12	5
13	3
14	5
15	7
16	4
17	7
18	8
19	6
20	8
21	11
22	7
23	9
24	13
25	9
26	11
27	16
28	12
29	15
30	18
31	13
32	17
33	20
34	17
35	21
36	24
37	19
38	24
39	30
40	22
41	28
42	34
43	26
44	34
45	38
46	30
47	37
48	43
49	37
50	42
51	48
52	41
53	50
54	58
55	48
56	55
57	64
58	53
59	64
60	71
61	59
62	73
63	81
64	69
65	79
66	89
67	79
68	90
69	101
70	87
71	100
72	111

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	4
10	3
11	4
12	5
13	3
14	5
15	7
16	4
17	7
18	8
19	6
20	8
21	11
22	7
23	9
24	13
25	9
26	11
27	16
28	12
29	15
30	18
31	13
32	17
33	20
34	17
35	21
36	24
37	19
38	24
39	30
40	22
41	28
42	34
43	26
44	34
45	38
46	30
47	37
48	43
49	37
50	42
51	48
52	41
53	50
54	58
55	48
56	55
57	64
58	53
59	64
60	71
61	59
62	73
63	81
64	69
65	79
66	89
67	79
68	90
69	101
70	87
71	100
72	111

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	3
7	2
8	2
9	4
10	3
11	4
12	5
13	3
14	5
15	7
16	4
17	7
18	8
19	6
20	8
21	11
22	7
23	9
24	13
25	9
26	11
27	16
28	12
29	15
30	18
31	13
32	17
33	20
34	17
35	21
36	24
37	19
38	24
39	30
40	22
41	28
42	34
43	26
44	34
45	38
46	30
47	37
48	43
49	37
50	42
51	48
52	41
53	50
54	58
55	48
56	55
57	64
58	53
59	64
60	71
61	59
62	73
63	81
64	69
65	79
66	89
67	79
68	90
69	101
70	87
71	100
72	111