A325393 - cp's OEIS frontend

A325393 Number of integer partitions of n whose k-th differences are strictly decreasing for all k >= 0.

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	13
19	16
20	19
21	18
22	20
23	24
24	22
25	26
26	29
27	28
28	31
29	37
30	33
31	38
32	43
33	42
34	44
35	52
36	48
37	55
38	59
39	58
40	62
41	72
42	65
43	74
44	80
45	80
46	82
47	94
48	88
49	99
50	103
51	104
52	108
53	123
54	114
55	126
56	133
57	135
58	137
59	155
60	145
61	161
62	166
63	169
64	174

[1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 8, 7, 9, 11, 10, 12, 15, 13, 16, 19, 18, 20, 24, 22, 26, 29, 28, 31, 37, 33, 38, 43, 42, 44, 52, 48, 55, 59, 58, 62, 72, 65, 74, 80, 80, 82, 94, 88, 99, 103, 104, 108, 123, 114, 126, 133, 135, 137, 155, 145, 161, 166, 169, 174]

cp's OEIS Frontend

A325393 Number of integer partitions of n whose k-th differences are strictly decreasing for all k >= 0.

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	13
19	16
20	19
21	18
22	20
23	24
24	22
25	26
26	29
27	28
28	31
29	37
30	33
31	38
32	43
33	42
34	44
35	52
36	48
37	55
38	59
39	58
40	62
41	72
42	65
43	74
44	80
45	80
46	82
47	94
48	88
49	99
50	103
51	104
52	108
53	123
54	114
55	126
56	133
57	135
58	137
59	155
60	145
61	161
62	166
63	169
64	174

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	13
19	16
20	19
21	18
22	20
23	24
24	22
25	26
26	29
27	28
28	31
29	37
30	33
31	38
32	43
33	42
34	44
35	52
36	48
37	55
38	59
39	58
40	62
41	72
42	65
43	74
44	80
45	80
46	82
47	94
48	88
49	99
50	103
51	104
52	108
53	123
54	114
55	126
56	133
57	135
58	137
59	155
60	145
61	161
62	166
63	169
64	174

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	13
19	16
20	19
21	18
22	20
23	24
24	22
25	26
26	29
27	28
28	31
29	37
30	33
31	38
32	43
33	42
34	44
35	52
36	48
37	55
38	59
39	58
40	62
41	72
42	65
43	74
44	80
45	80
46	82
47	94
48	88
49	99
50	103
51	104
52	108
53	123
54	114
55	126
56	133
57	135
58	137
59	155
60	145
61	161
62	166
63	169
64	174