A324572 - cp's OEIS frontend

A324572 Number of integer partitions of n whose multiplicities (where if x < y the multiplicity of x is counted prior to the multiplicity of y) are equal to the distinct parts in decreasing order.

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	0
8	1
9	1
10	2
11	0
12	3
13	0
14	2
15	0
16	4
17	1
18	2
19	1
20	4
21	1
22	3
23	1
24	5
25	3
26	5
27	1
28	6
29	2
30	6
31	1
32	7
33	2
34	7
35	2
36	11
37	4
38	8
39	3
40	11
41	5
42	10
43	4
44	13
45	5
46	11
47	5
48	16
49	8
50	14
51	5
52	19
53	8
54	18
55	6
56	22
57	8
58	22
59	7
60	26
61	10
62	25
63	8
64	33
65	12
66	29
67	11
68	36
69	13
70	34
71	12
72	40
73	16
74	41
75	14
76	47
77	17
78	45
79	16
80	55

[1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 3, 0, 2, 0, 4, 1, 2, 1, 4, 1, 3, 1, 5, 3, 5, 1, 6, 2, 6, 1, 7, 2, 7, 2, 11, 4, 8, 3, 11, 5, 10, 4, 13, 5, 11, 5, 16, 8, 14, 5, 19, 8, 18, 6, 22, 8, 22, 7, 26, 10, 25, 8, 33, 12, 29, 11, 36, 13, 34, 12, 40, 16, 41, 14, 47, 17, 45, 16, 55]

cp's OEIS Frontend

A324572 Number of integer partitions of n whose multiplicities (where if x < y the multiplicity of x is counted prior to the multiplicity of y) are equal to the distinct parts in decreasing order.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	0
8	1
9	1
10	2
11	0
12	3
13	0
14	2
15	0
16	4
17	1
18	2
19	1
20	4
21	1
22	3
23	1
24	5
25	3
26	5
27	1
28	6
29	2
30	6
31	1
32	7
33	2
34	7
35	2
36	11
37	4
38	8
39	3
40	11
41	5
42	10
43	4
44	13
45	5
46	11
47	5
48	16
49	8
50	14
51	5
52	19
53	8
54	18
55	6
56	22
57	8
58	22
59	7
60	26
61	10
62	25
63	8
64	33
65	12
66	29
67	11
68	36
69	13
70	34
71	12
72	40
73	16
74	41
75	14
76	47
77	17
78	45
79	16
80	55

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	0
8	1
9	1
10	2
11	0
12	3
13	0
14	2
15	0
16	4
17	1
18	2
19	1
20	4
21	1
22	3
23	1
24	5
25	3
26	5
27	1
28	6
29	2
30	6
31	1
32	7
33	2
34	7
35	2
36	11
37	4
38	8
39	3
40	11
41	5
42	10
43	4
44	13
45	5
46	11
47	5
48	16
49	8
50	14
51	5
52	19
53	8
54	18
55	6
56	22
57	8
58	22
59	7
60	26
61	10
62	25
63	8
64	33
65	12
66	29
67	11
68	36
69	13
70	34
71	12
72	40
73	16
74	41
75	14
76	47
77	17
78	45
79	16
80	55

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	0
8	1
9	1
10	2
11	0
12	3
13	0
14	2
15	0
16	4
17	1
18	2
19	1
20	4
21	1
22	3
23	1
24	5
25	3
26	5
27	1
28	6
29	2
30	6
31	1
32	7
33	2
34	7
35	2
36	11
37	4
38	8
39	3
40	11
41	5
42	10
43	4
44	13
45	5
46	11
47	5
48	16
49	8
50	14
51	5
52	19
53	8
54	18
55	6
56	22
57	8
58	22
59	7
60	26
61	10
62	25
63	8
64	33
65	12
66	29
67	11
68	36
69	13
70	34
71	12
72	40
73	16
74	41
75	14
76	47
77	17
78	45
79	16
80	55