A337584 - cp's OEIS frontend

A337584 Triangle read by rows: T(n, k) is the number of integer multisets of size k (partitions of k) that match the multiplicity multiset of some partition of n (n >= 1, 1 <= k <= n).

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	3
19	2
20	1
21	1
22	1
23	1
24	2
25	2
26	2
27	1
28	1
29	1
30	2
31	2
32	4
33	3
34	2
35	1
36	1
37	1
38	1
39	3
40	2
41	4
42	3
43	2
44	1
45	1
46	1
47	2
48	2
49	4
50	4
51	4
52	3
53	2
54	1
55	1
56	1
57	1
58	2
59	3
60	5
61	3
62	5
63	3
64	2
65	1
66	1
67	1
68	2
69	3
70	5
71	5
72	8
73	5
74	5
75	3
76	2
77	1
78	1
79	1
80	1
81	2
82	3
83	5
84	5
85	8
86	5
87	5
88	3
89	2
90	1
91	1
92	1
93	2
94	2
95	4
96	5
97	7
98	8
99	8
100	5
101	5
102	3

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 4, 3, 2, 1, 1, 1, 1, 3, 2, 4, 3, 2, 1, 1, 1, 2, 2, 4, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 5, 3, 5, 3, 2, 1, 1, 1, 2, 3, 5, 5, 8, 5, 5, 3, 2, 1, 1, 1, 1, 2, 3, 5, 5, 8, 5, 5, 3, 2, 1, 1, 1, 2, 2, 4, 5, 7, 8, 8, 5, 5, 3]

cp's OEIS Frontend

A337584 Triangle read by rows: T(n, k) is the number of integer multisets of size k (partitions of k) that match the multiplicity multiset of some partition of n (n >= 1, 1 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	3
19	2
20	1
21	1
22	1
23	1
24	2
25	2
26	2
27	1
28	1
29	1
30	2
31	2
32	4
33	3
34	2
35	1
36	1
37	1
38	1
39	3
40	2
41	4
42	3
43	2
44	1
45	1
46	1
47	2
48	2
49	4
50	4
51	4
52	3
53	2
54	1
55	1
56	1
57	1
58	2
59	3
60	5
61	3
62	5
63	3
64	2
65	1
66	1
67	1
68	2
69	3
70	5
71	5
72	8
73	5
74	5
75	3
76	2
77	1
78	1
79	1
80	1
81	2
82	3
83	5
84	5
85	8
86	5
87	5
88	3
89	2
90	1
91	1
92	1
93	2
94	2
95	4
96	5
97	7
98	8
99	8
100	5
101	5
102	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	3
19	2
20	1
21	1
22	1
23	1
24	2
25	2
26	2
27	1
28	1
29	1
30	2
31	2
32	4
33	3
34	2
35	1
36	1
37	1
38	1
39	3
40	2
41	4
42	3
43	2
44	1
45	1
46	1
47	2
48	2
49	4
50	4
51	4
52	3
53	2
54	1
55	1
56	1
57	1
58	2
59	3
60	5
61	3
62	5
63	3
64	2
65	1
66	1
67	1
68	2
69	3
70	5
71	5
72	8
73	5
74	5
75	3
76	2
77	1
78	1
79	1
80	1
81	2
82	3
83	5
84	5
85	8
86	5
87	5
88	3
89	2
90	1
91	1
92	1
93	2
94	2
95	4
96	5
97	7
98	8
99	8
100	5
101	5
102	3

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	2
18	3
19	2
20	1
21	1
22	1
23	1
24	2
25	2
26	2
27	1
28	1
29	1
30	2
31	2
32	4
33	3
34	2
35	1
36	1
37	1
38	1
39	3
40	2
41	4
42	3
43	2
44	1
45	1
46	1
47	2
48	2
49	4
50	4
51	4
52	3
53	2
54	1
55	1
56	1
57	1
58	2
59	3
60	5
61	3
62	5
63	3
64	2
65	1
66	1
67	1
68	2
69	3
70	5
71	5
72	8
73	5
74	5
75	3
76	2
77	1
78	1
79	1
80	1
81	2
82	3
83	5
84	5
85	8
86	5
87	5
88	3
89	2
90	1
91	1
92	1
93	2
94	2
95	4
96	5
97	7
98	8
99	8
100	5
101	5
102	3