A320388 - cp's OEIS frontend

A320388 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are decreasing.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	8
12	7
13	9
14	11
15	10
16	12
17	15
18	14
19	16
20	19
21	18
22	21
23	25
24	23
25	26
26	31
27	29
28	33
29	38
30	36
31	40
32	46
33	44
34	49
35	56
36	53
37	58
38	66
39	64
40	70
41	77
42	76
43	82
44	92
45	89
46	96
47	106
48	104
49	113
50	123
51	120
52	130
53	142
54	141
55	149
56	162
57	160
58	172
59	186
60	184
61	195
62	211
63	210
64	223
65	238

[1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 8, 7, 9, 11, 10, 12, 15, 14, 16, 19, 18, 21, 25, 23, 26, 31, 29, 33, 38, 36, 40, 46, 44, 49, 56, 53, 58, 66, 64, 70, 77, 76, 82, 92, 89, 96, 106, 104, 113, 123, 120, 130, 142, 141, 149, 162, 160, 172, 186, 184, 195, 211, 210, 223, 238]

cp's OEIS Frontend

A320388 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are decreasing.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	8
12	7
13	9
14	11
15	10
16	12
17	15
18	14
19	16
20	19
21	18
22	21
23	25
24	23
25	26
26	31
27	29
28	33
29	38
30	36
31	40
32	46
33	44
34	49
35	56
36	53
37	58
38	66
39	64
40	70
41	77
42	76
43	82
44	92
45	89
46	96
47	106
48	104
49	113
50	123
51	120
52	130
53	142
54	141
55	149
56	162
57	160
58	172
59	186
60	184
61	195
62	211
63	210
64	223
65	238

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	8
12	7
13	9
14	11
15	10
16	12
17	15
18	14
19	16
20	19
21	18
22	21
23	25
24	23
25	26
26	31
27	29
28	33
29	38
30	36
31	40
32	46
33	44
34	49
35	56
36	53
37	58
38	66
39	64
40	70
41	77
42	76
43	82
44	92
45	89
46	96
47	106
48	104
49	113
50	123
51	120
52	130
53	142
54	141
55	149
56	162
57	160
58	172
59	186
60	184
61	195
62	211
63	210
64	223
65	238

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	3
7	4
8	5
9	5
10	6
11	8
12	7
13	9
14	11
15	10
16	12
17	15
18	14
19	16
20	19
21	18
22	21
23	25
24	23
25	26
26	31
27	29
28	33
29	38
30	36
31	40
32	46
33	44
34	49
35	56
36	53
37	58
38	66
39	64
40	70
41	77
42	76
43	82
44	92
45	89
46	96
47	106
48	104
49	113
50	123
51	120
52	130
53	142
54	141
55	149
56	162
57	160
58	172
59	186
60	184
61	195
62	211
63	210
64	223
65	238