A325358 - cp's OEIS frontend

A325358 Number of integer partitions of n whose augmented differences are strictly decreasing.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	2
6	3
7	4
8	4
9	5
10	6
11	6
12	7
13	9
14	10
15	11
16	13
17	14
18	15
19	18
20	20
21	21
22	24
23	26
24	28
25	33
26	36
27	38
28	43
29	46
30	49
31	56
32	60
33	63
34	71
35	76
36	80
37	90
38	96
39	100
40	112
41	120
42	125
43	139
44	149
45	155
46	171
47	183
48	190
49	208
50	223
51	232
52	252
53	269
54	280
55	304
56	325
57	338
58	364
59	387
60	403

[1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 6, 7, 9, 10, 11, 13, 14, 15, 18, 20, 21, 24, 26, 28, 33, 36, 38, 43, 46, 49, 56, 60, 63, 71, 76, 80, 90, 96, 100, 112, 120, 125, 139, 149, 155, 171, 183, 190, 208, 223, 232, 252, 269, 280, 304, 325, 338, 364, 387, 403]

cp's OEIS Frontend

A325358 Number of integer partitions of n whose augmented differences are strictly decreasing.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	2
6	3
7	4
8	4
9	5
10	6
11	6
12	7
13	9
14	10
15	11
16	13
17	14
18	15
19	18
20	20
21	21
22	24
23	26
24	28
25	33
26	36
27	38
28	43
29	46
30	49
31	56
32	60
33	63
34	71
35	76
36	80
37	90
38	96
39	100
40	112
41	120
42	125
43	139
44	149
45	155
46	171
47	183
48	190
49	208
50	223
51	232
52	252
53	269
54	280
55	304
56	325
57	338
58	364
59	387
60	403

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	2
6	3
7	4
8	4
9	5
10	6
11	6
12	7
13	9
14	10
15	11
16	13
17	14
18	15
19	18
20	20
21	21
22	24
23	26
24	28
25	33
26	36
27	38
28	43
29	46
30	49
31	56
32	60
33	63
34	71
35	76
36	80
37	90
38	96
39	100
40	112
41	120
42	125
43	139
44	149
45	155
46	171
47	183
48	190
49	208
50	223
51	232
52	252
53	269
54	280
55	304
56	325
57	338
58	364
59	387
60	403

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	2
6	3
7	4
8	4
9	5
10	6
11	6
12	7
13	9
14	10
15	11
16	13
17	14
18	15
19	18
20	20
21	21
22	24
23	26
24	28
25	33
26	36
27	38
28	43
29	46
30	49
31	56
32	60
33	63
34	71
35	76
36	80
37	90
38	96
39	100
40	112
41	120
42	125
43	139
44	149
45	155
46	171
47	183
48	190
49	208
50	223
51	232
52	252
53	269
54	280
55	304
56	325
57	338
58	364
59	387
60	403