A373244 - cp's OEIS frontend

A373244 T(n,k) = number of integer partitions of n into k parts for which the number of distinct parts is equal to the number of distinct multiplicities.

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	1
10	1
11	1
12	0
13	2
14	1
15	1
16	1
17	1
18	2
19	1
20	1
21	1
22	1
23	0
24	3
25	2
26	2
27	1
28	1
29	1
30	1
31	3
32	2
33	2
34	2
35	1
36	1
37	1
38	0
39	4
40	2
41	3
42	1
43	2
44	1
45	1
46	1
47	1
48	4
49	3
50	2
51	4
52	2
53	2
54	1
55	1
56	1
57	0
58	5
59	3
60	4
61	5
62	4
63	2
64	2
65	1
66	1
67	1
68	1
69	5
70	3
71	3
72	5
73	4
74	3
75	2
76	2
77	1
78	1
79	1
80	0
81	6
82	4
83	5
84	8
85	6
86	5
87	4
88	2
89	2
90	1
91	1
92	1
93	1
94	6
95	4
96	5
97	10
98	6
99	7
100	5
101	4
102	2
103	2
104	1
105	1

[1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 3, 2, 2, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 1, 0, 4, 2, 3, 1, 2, 1, 1, 1, 1, 4, 3, 2, 4, 2, 2, 1, 1, 1, 0, 5, 3, 4, 5, 4, 2, 2, 1, 1, 1, 1, 5, 3, 3, 5, 4, 3, 2, 2, 1, 1, 1, 0, 6, 4, 5, 8, 6, 5, 4, 2, 2, 1, 1, 1, 1, 6, 4, 5, 10, 6, 7, 5, 4, 2, 2, 1, 1]

cp's OEIS Frontend

A373244 T(n,k) = number of integer partitions of n into k parts for which the number of distinct parts is equal to the number of distinct multiplicities.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	1
10	1
11	1
12	0
13	2
14	1
15	1
16	1
17	1
18	2
19	1
20	1
21	1
22	1
23	0
24	3
25	2
26	2
27	1
28	1
29	1
30	1
31	3
32	2
33	2
34	2
35	1
36	1
37	1
38	0
39	4
40	2
41	3
42	1
43	2
44	1
45	1
46	1
47	1
48	4
49	3
50	2
51	4
52	2
53	2
54	1
55	1
56	1
57	0
58	5
59	3
60	4
61	5
62	4
63	2
64	2
65	1
66	1
67	1
68	1
69	5
70	3
71	3
72	5
73	4
74	3
75	2
76	2
77	1
78	1
79	1
80	0
81	6
82	4
83	5
84	8
85	6
86	5
87	4
88	2
89	2
90	1
91	1
92	1
93	1
94	6
95	4
96	5
97	10
98	6
99	7
100	5
101	4
102	2
103	2
104	1
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	1
10	1
11	1
12	0
13	2
14	1
15	1
16	1
17	1
18	2
19	1
20	1
21	1
22	1
23	0
24	3
25	2
26	2
27	1
28	1
29	1
30	1
31	3
32	2
33	2
34	2
35	1
36	1
37	1
38	0
39	4
40	2
41	3
42	1
43	2
44	1
45	1
46	1
47	1
48	4
49	3
50	2
51	4
52	2
53	2
54	1
55	1
56	1
57	0
58	5
59	3
60	4
61	5
62	4
63	2
64	2
65	1
66	1
67	1
68	1
69	5
70	3
71	3
72	5
73	4
74	3
75	2
76	2
77	1
78	1
79	1
80	0
81	6
82	4
83	5
84	8
85	6
86	5
87	4
88	2
89	2
90	1
91	1
92	1
93	1
94	6
95	4
96	5
97	10
98	6
99	7
100	5
101	4
102	2
103	2
104	1
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	1
10	1
11	1
12	0
13	2
14	1
15	1
16	1
17	1
18	2
19	1
20	1
21	1
22	1
23	0
24	3
25	2
26	2
27	1
28	1
29	1
30	1
31	3
32	2
33	2
34	2
35	1
36	1
37	1
38	0
39	4
40	2
41	3
42	1
43	2
44	1
45	1
46	1
47	1
48	4
49	3
50	2
51	4
52	2
53	2
54	1
55	1
56	1
57	0
58	5
59	3
60	4
61	5
62	4
63	2
64	2
65	1
66	1
67	1
68	1
69	5
70	3
71	3
72	5
73	4
74	3
75	2
76	2
77	1
78	1
79	1
80	0
81	6
82	4
83	5
84	8
85	6
86	5
87	4
88	2
89	2
90	1
91	1
92	1
93	1
94	6
95	4
96	5
97	10
98	6
99	7
100	5
101	4
102	2
103	2
104	1
105	1