A384178 - cp's OEIS frontend

A384178 Number of strict integer partitions of n with all distinct lengths of maximal runs (decreasing by 1).

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	3
8	3
9	4
10	5
11	6
12	6
13	8
14	8
15	10
16	11
17	13
18	13
19	16
20	15
21	19
22	19
23	23
24	22
25	26
26	28
27	31
28	35
29	39
30	37
31	47
32	51
33	52
34	60
35	65
36	67
37	78
38	85
39	86
40	99
41	108
42	110
43	127
44	136
45	138
46	159
47	170
48	171
49	196
50	209
51	213
52	240
53	257
54	260
55	292
56	306
57	313
58	350
59	371
60	369
61	417
62	441

[1, 1, 1, 2, 1, 2, 2, 3, 3, 4, 5, 6, 6, 8, 8, 10, 11, 13, 13, 16, 15, 19, 19, 23, 22, 26, 28, 31, 35, 39, 37, 47, 51, 52, 60, 65, 67, 78, 85, 86, 99, 108, 110, 127, 136, 138, 159, 170, 171, 196, 209, 213, 240, 257, 260, 292, 306, 313, 350, 371, 369, 417, 441]

cp's OEIS Frontend

A384178 Number of strict integer partitions of n with all distinct lengths of maximal runs (decreasing by 1).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	3
8	3
9	4
10	5
11	6
12	6
13	8
14	8
15	10
16	11
17	13
18	13
19	16
20	15
21	19
22	19
23	23
24	22
25	26
26	28
27	31
28	35
29	39
30	37
31	47
32	51
33	52
34	60
35	65
36	67
37	78
38	85
39	86
40	99
41	108
42	110
43	127
44	136
45	138
46	159
47	170
48	171
49	196
50	209
51	213
52	240
53	257
54	260
55	292
56	306
57	313
58	350
59	371
60	369
61	417
62	441

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	3
8	3
9	4
10	5
11	6
12	6
13	8
14	8
15	10
16	11
17	13
18	13
19	16
20	15
21	19
22	19
23	23
24	22
25	26
26	28
27	31
28	35
29	39
30	37
31	47
32	51
33	52
34	60
35	65
36	67
37	78
38	85
39	86
40	99
41	108
42	110
43	127
44	136
45	138
46	159
47	170
48	171
49	196
50	209
51	213
52	240
53	257
54	260
55	292
56	306
57	313
58	350
59	371
60	369
61	417
62	441

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	3
8	3
9	4
10	5
11	6
12	6
13	8
14	8
15	10
16	11
17	13
18	13
19	16
20	15
21	19
22	19
23	23
24	22
25	26
26	28
27	31
28	35
29	39
30	37
31	47
32	51
33	52
34	60
35	65
36	67
37	78
38	85
39	86
40	99
41	108
42	110
43	127
44	136
45	138
46	159
47	170
48	171
49	196
50	209
51	213
52	240
53	257
54	260
55	292
56	306
57	313
58	350
59	371
60	369
61	417
62	441