A325357 - cp's OEIS frontend

A325357 Number of integer partitions of n whose augmented differences are strictly increasing.

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

[1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 3, 5, 5, 4, 5, 6, 5, 7, 7, 7, 7, 9, 7, 10, 10, 8, 11, 13, 10, 13, 14, 12, 14, 17, 13, 17, 19, 17, 18, 22, 19, 22, 24, 21, 24, 28, 24, 29, 30, 28, 31, 35, 30, 35, 40, 36]

cp's OEIS Frontend

A325357 Number of integer partitions of n whose augmented differences are strictly increasing.

Table of values

List of values

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

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

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