A373270 - cp's OEIS frontend

A373270 Triangle read by rows: T(n,k) is the sum for all integer partitions of n of length k of the number of different multiplicities.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	4
19	3
20	2
21	1
22	1
23	3
24	7
25	6
26	4
27	2
28	1
29	1
30	4
31	8
32	8
33	6
34	4
35	2
36	1
37	1
38	4
39	10
40	12
41	10
42	5
43	4
44	2
45	1
46	1
47	5
48	12
49	15
50	13
51	11
52	6
53	4
54	2
55	1
56	1
57	5
58	15
59	21
60	20
61	17
62	11
63	6
64	4
65	2
66	1
67	1
68	6
69	16
70	25
71	26
72	21
73	16
74	10
75	6
76	4
77	2
78	1
79	1
80	6
81	20
82	33
83	36
84	34
85	24
86	17
87	11
88	6
89	4
90	2
91	1
92	1
93	7
94	22
95	38
96	46
97	44
98	34
99	25
100	17
101	11
102	6
103	4
104	2
105	1
106	1
107	7
108	25
109	48
110	58
111	56
112	50
113	38
114	24
115	16
116	11
117	6
118	4
119	2
120	1

[1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 4, 2, 1, 1, 3, 4, 3, 2, 1, 1, 3, 7, 6, 4, 2, 1, 1, 4, 8, 8, 6, 4, 2, 1, 1, 4, 10, 12, 10, 5, 4, 2, 1, 1, 5, 12, 15, 13, 11, 6, 4, 2, 1, 1, 5, 15, 21, 20, 17, 11, 6, 4, 2, 1, 1, 6, 16, 25, 26, 21, 16, 10, 6, 4, 2, 1, 1, 6, 20, 33, 36, 34, 24, 17, 11, 6, 4, 2, 1, 1, 7, 22, 38, 46, 44, 34, 25, 17, 11, 6, 4, 2, 1, 1, 7, 25, 48, 58, 56, 50, 38, 24, 16, 11, 6, 4, 2, 1]

cp's OEIS Frontend

A373270 Triangle read by rows: T(n,k) is the sum for all integer partitions of n of length k of the number of different multiplicities.

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	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	4
19	3
20	2
21	1
22	1
23	3
24	7
25	6
26	4
27	2
28	1
29	1
30	4
31	8
32	8
33	6
34	4
35	2
36	1
37	1
38	4
39	10
40	12
41	10
42	5
43	4
44	2
45	1
46	1
47	5
48	12
49	15
50	13
51	11
52	6
53	4
54	2
55	1
56	1
57	5
58	15
59	21
60	20
61	17
62	11
63	6
64	4
65	2
66	1
67	1
68	6
69	16
70	25
71	26
72	21
73	16
74	10
75	6
76	4
77	2
78	1
79	1
80	6
81	20
82	33
83	36
84	34
85	24
86	17
87	11
88	6
89	4
90	2
91	1
92	1
93	7
94	22
95	38
96	46
97	44
98	34
99	25
100	17
101	11
102	6
103	4
104	2
105	1
106	1
107	7
108	25
109	48
110	58
111	56
112	50
113	38
114	24
115	16
116	11
117	6
118	4
119	2
120	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	4
19	3
20	2
21	1
22	1
23	3
24	7
25	6
26	4
27	2
28	1
29	1
30	4
31	8
32	8
33	6
34	4
35	2
36	1
37	1
38	4
39	10
40	12
41	10
42	5
43	4
44	2
45	1
46	1
47	5
48	12
49	15
50	13
51	11
52	6
53	4
54	2
55	1
56	1
57	5
58	15
59	21
60	20
61	17
62	11
63	6
64	4
65	2
66	1
67	1
68	6
69	16
70	25
71	26
72	21
73	16
74	10
75	6
76	4
77	2
78	1
79	1
80	6
81	20
82	33
83	36
84	34
85	24
86	17
87	11
88	6
89	4
90	2
91	1
92	1
93	7
94	22
95	38
96	46
97	44
98	34
99	25
100	17
101	11
102	6
103	4
104	2
105	1
106	1
107	7
108	25
109	48
110	58
111	56
112	50
113	38
114	24
115	16
116	11
117	6
118	4
119	2
120	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	2
13	4
14	2
15	1
16	1
17	3
18	4
19	3
20	2
21	1
22	1
23	3
24	7
25	6
26	4
27	2
28	1
29	1
30	4
31	8
32	8
33	6
34	4
35	2
36	1
37	1
38	4
39	10
40	12
41	10
42	5
43	4
44	2
45	1
46	1
47	5
48	12
49	15
50	13
51	11
52	6
53	4
54	2
55	1
56	1
57	5
58	15
59	21
60	20
61	17
62	11
63	6
64	4
65	2
66	1
67	1
68	6
69	16
70	25
71	26
72	21
73	16
74	10
75	6
76	4
77	2
78	1
79	1
80	6
81	20
82	33
83	36
84	34
85	24
86	17
87	11
88	6
89	4
90	2
91	1
92	1
93	7
94	22
95	38
96	46
97	44
98	34
99	25
100	17
101	11
102	6
103	4
104	2
105	1
106	1
107	7
108	25
109	48
110	58
111	56
112	50
113	38
114	24
115	16
116	11
117	6
118	4
119	2
120	1