A320385 - cp's OEIS frontend

A320385 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are decreasing, and first difference < first part.

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

[1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3, 4, 3, 3, 5, 3, 5, 6, 4, 5, 7, 5, 7, 8, 6, 7, 10, 8, 9, 11, 8, 11, 13, 9, 13, 15, 12, 14, 17, 13, 16, 20, 15, 18, 22, 18, 21, 25, 20, 23, 27, 23, 28, 30, 26, 30, 34, 30, 33, 38, 31, 38, 43, 36, 42, 46, 42, 47, 50, 45, 50, 58, 51, 55]

cp's OEIS Frontend

A320385 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are decreasing, and first difference < first part.

Table of values

List of values

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

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

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