A179269 - cp's OEIS frontend

A179269 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are increasing, and first difference > first part.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	5
11	5
12	5
13	7
14	7
15	7
16	10
17	10
18	10
19	13
20	14
21	14
22	18
23	19
24	19
25	23
26	25
27	25
28	30
29	32
30	33
31	38
32	41
33	42
34	48
35	52
36	54
37	60
38	65
39	67
40	75
41	81
42	84
43	92
44	99
45	103
46	113
47	121
48	126
49	136
50	147
51	153
52	165
53	177
54	184
55	197
56	213
57	221
58	236
59	253
60	264
61	280
62	301
63	313
64	331
65	355
66	371
67	390
68	418
69	435
70	458

[1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7, 7, 10, 10, 10, 13, 14, 14, 18, 19, 19, 23, 25, 25, 30, 32, 33, 38, 41, 42, 48, 52, 54, 60, 65, 67, 75, 81, 84, 92, 99, 103, 113, 121, 126, 136, 147, 153, 165, 177, 184, 197, 213, 221, 236, 253, 264, 280, 301, 313, 331, 355, 371, 390, 418, 435, 458]

cp's OEIS Frontend

A179269 Number of partitions of n into distinct parts such that the successive differences of consecutive parts are increasing, and first difference > first part.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	5
11	5
12	5
13	7
14	7
15	7
16	10
17	10
18	10
19	13
20	14
21	14
22	18
23	19
24	19
25	23
26	25
27	25
28	30
29	32
30	33
31	38
32	41
33	42
34	48
35	52
36	54
37	60
38	65
39	67
40	75
41	81
42	84
43	92
44	99
45	103
46	113
47	121
48	126
49	136
50	147
51	153
52	165
53	177
54	184
55	197
56	213
57	221
58	236
59	253
60	264
61	280
62	301
63	313
64	331
65	355
66	371
67	390
68	418
69	435
70	458

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	5
11	5
12	5
13	7
14	7
15	7
16	10
17	10
18	10
19	13
20	14
21	14
22	18
23	19
24	19
25	23
26	25
27	25
28	30
29	32
30	33
31	38
32	41
33	42
34	48
35	52
36	54
37	60
38	65
39	67
40	75
41	81
42	84
43	92
44	99
45	103
46	113
47	121
48	126
49	136
50	147
51	153
52	165
53	177
54	184
55	197
56	213
57	221
58	236
59	253
60	264
61	280
62	301
63	313
64	331
65	355
66	371
67	390
68	418
69	435
70	458

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	2
7	3
8	3
9	3
10	5
11	5
12	5
13	7
14	7
15	7
16	10
17	10
18	10
19	13
20	14
21	14
22	18
23	19
24	19
25	23
26	25
27	25
28	30
29	32
30	33
31	38
32	41
33	42
34	48
35	52
36	54
37	60
38	65
39	67
40	75
41	81
42	84
43	92
44	99
45	103
46	113
47	121
48	126
49	136
50	147
51	153
52	165
53	177
54	184
55	197
56	213
57	221
58	236
59	253
60	264
61	280
62	301
63	313
64	331
65	355
66	371
67	390
68	418
69	435
70	458