A384882 - cp's OEIS frontend

A384882 Number of integer partitions of n with all distinct lengths of maximal runs of consecutive parts decreasing by 1 but not by 0.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	2
7	5
8	4
9	5
10	6
11	9
12	7
13	12
14	12
15	11
16	16
17	18
18	17
19	25
20	25
21	23
22	33
23	35
24	36
25	42
26	52
27	45
28	58
29	64
30	60
31	77
32	91
33	79
34	109
35	108
36	105
37	129
38	149
39	134
40	170
41	179
42	177
43	213
44	236
45	208
46	275
47	281
48	282
49	323
50	359
51	330
52	410
53	433
54	440
55	474
56	541
57	508
58	614
59	631
60	635

[1, 1, 1, 2, 2, 3, 2, 5, 4, 5, 6, 9, 7, 12, 12, 11, 16, 18, 17, 25, 25, 23, 33, 35, 36, 42, 52, 45, 58, 64, 60, 77, 91, 79, 109, 108, 105, 129, 149, 134, 170, 179, 177, 213, 236, 208, 275, 281, 282, 323, 359, 330, 410, 433, 440, 474, 541, 508, 614, 631, 635]

cp's OEIS Frontend

A384882 Number of integer partitions of n with all distinct lengths of maximal runs of consecutive parts decreasing by 1 but not by 0.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	2
7	5
8	4
9	5
10	6
11	9
12	7
13	12
14	12
15	11
16	16
17	18
18	17
19	25
20	25
21	23
22	33
23	35
24	36
25	42
26	52
27	45
28	58
29	64
30	60
31	77
32	91
33	79
34	109
35	108
36	105
37	129
38	149
39	134
40	170
41	179
42	177
43	213
44	236
45	208
46	275
47	281
48	282
49	323
50	359
51	330
52	410
53	433
54	440
55	474
56	541
57	508
58	614
59	631
60	635

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	2
7	5
8	4
9	5
10	6
11	9
12	7
13	12
14	12
15	11
16	16
17	18
18	17
19	25
20	25
21	23
22	33
23	35
24	36
25	42
26	52
27	45
28	58
29	64
30	60
31	77
32	91
33	79
34	109
35	108
36	105
37	129
38	149
39	134
40	170
41	179
42	177
43	213
44	236
45	208
46	275
47	281
48	282
49	323
50	359
51	330
52	410
53	433
54	440
55	474
56	541
57	508
58	614
59	631
60	635

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	2
7	5
8	4
9	5
10	6
11	9
12	7
13	12
14	12
15	11
16	16
17	18
18	17
19	25
20	25
21	23
22	33
23	35
24	36
25	42
26	52
27	45
28	58
29	64
30	60
31	77
32	91
33	79
34	109
35	108
36	105
37	129
38	149
39	134
40	170
41	179
42	177
43	213
44	236
45	208
46	275
47	281
48	282
49	323
50	359
51	330
52	410
53	433
54	440
55	474
56	541
57	508
58	614
59	631
60	635