A117147 - cp's OEIS frontend

A117147 Triangle read by rows: T(n,k) is the number of partitions of n with k parts in which no part occurs more than 3 times (n>=1, k>=1).

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

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 3, 4, 3, 1, 1, 4, 5, 4, 2, 1, 4, 7, 6, 3, 1, 1, 5, 8, 9, 5, 1, 1, 5, 10, 11, 8, 3, 1, 6, 12, 14, 11, 5, 1, 1, 6, 14, 18, 15, 8, 2, 1, 7, 16, 23, 20, 11, 4, 1, 7, 19, 27, 27, 17, 6, 1, 1, 8, 21, 33, 34, 23, 10, 2, 1, 8, 24, 39, 43, 32, 15, 4, 1, 9]

cp's OEIS Frontend

A117147 Triangle read by rows: T(n,k) is the number of partitions of n with k parts in which no part occurs more than 3 times (n>=1, k>=1).

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

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

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