A373272 - cp's OEIS frontend

A373272 Triangle read by rows: T(n,k) = sum of all distinct multiplicities in the integer partitions of n with k parts.

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

[1, 1, 2, 1, 1, 3, 1, 3, 3, 4, 1, 2, 6, 4, 5, 1, 4, 7, 6, 5, 6, 1, 3, 10, 11, 10, 6, 7, 1, 5, 11, 16, 14, 12, 7, 8, 1, 4, 15, 20, 22, 14, 14, 8, 9, 1, 6, 16, 26, 28, 29, 20, 16, 9, 10, 1, 5, 20, 34, 41, 40, 34, 23, 18, 10, 11, 1, 7, 22, 42, 50, 54, 44, 35, 26, 20, 11, 12, 1, 6, 26, 52, 69, 75, 68, 54, 44, 29, 22, 12, 13]

cp's OEIS Frontend

A373272 Triangle read by rows: T(n,k) = sum of all distinct multiplicities in the integer partitions of n with k parts.

Table of values

List of values

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

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

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