A320509 - cp's OEIS frontend

A320509 Number of partitions of n such that the successive differences of consecutive parts are nonincreasing, and first difference <= first part.

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	4
6	6
7	4
8	6
9	8
10	7
11	8
12	11
13	7
14	12
15	14
16	10
17	13
18	19
19	12
20	18
21	21
22	16
23	19
24	27
25	19
26	25
27	30
28	25
29	30
30	37
31	25
32	35
33	40
34	35
35	42
36	49
37	35
38	49
39	56
40	46
41	54
42	66
43	50
44	65
45	72
46	60
47	70
48	83
49	68
50	84
51	90
52	80
53	94
54	110
55	86
56	107
57	116
58	98
59	119
60	137
61	111
62	134
63	146
64	130
65	148
66	165
67	141
68	169

[1, 1, 2, 3, 3, 4, 6, 4, 6, 8, 7, 8, 11, 7, 12, 14, 10, 13, 19, 12, 18, 21, 16, 19, 27, 19, 25, 30, 25, 30, 37, 25, 35, 40, 35, 42, 49, 35, 49, 56, 46, 54, 66, 50, 65, 72, 60, 70, 83, 68, 84, 90, 80, 94, 110, 86, 107, 116, 98, 119, 137, 111, 134, 146, 130, 148, 165, 141, 169]

cp's OEIS Frontend

A320509 Number of partitions of n such that the successive differences of consecutive parts are nonincreasing, and first difference <= first part.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	4
6	6
7	4
8	6
9	8
10	7
11	8
12	11
13	7
14	12
15	14
16	10
17	13
18	19
19	12
20	18
21	21
22	16
23	19
24	27
25	19
26	25
27	30
28	25
29	30
30	37
31	25
32	35
33	40
34	35
35	42
36	49
37	35
38	49
39	56
40	46
41	54
42	66
43	50
44	65
45	72
46	60
47	70
48	83
49	68
50	84
51	90
52	80
53	94
54	110
55	86
56	107
57	116
58	98
59	119
60	137
61	111
62	134
63	146
64	130
65	148
66	165
67	141
68	169

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	4
6	6
7	4
8	6
9	8
10	7
11	8
12	11
13	7
14	12
15	14
16	10
17	13
18	19
19	12
20	18
21	21
22	16
23	19
24	27
25	19
26	25
27	30
28	25
29	30
30	37
31	25
32	35
33	40
34	35
35	42
36	49
37	35
38	49
39	56
40	46
41	54
42	66
43	50
44	65
45	72
46	60
47	70
48	83
49	68
50	84
51	90
52	80
53	94
54	110
55	86
56	107
57	116
58	98
59	119
60	137
61	111
62	134
63	146
64	130
65	148
66	165
67	141
68	169

n	a(n)
0	1
1	1
2	2
3	3
4	3
5	4
6	6
7	4
8	6
9	8
10	7
11	8
12	11
13	7
14	12
15	14
16	10
17	13
18	19
19	12
20	18
21	21
22	16
23	19
24	27
25	19
26	25
27	30
28	25
29	30
30	37
31	25
32	35
33	40
34	35
35	42
36	49
37	35
38	49
39	56
40	46
41	54
42	66
43	50
44	65
45	72
46	60
47	70
48	83
49	68
50	84
51	90
52	80
53	94
54	110
55	86
56	107
57	116
58	98
59	119
60	137
61	111
62	134
63	146
64	130
65	148
66	165
67	141
68	169