A091602 - cp's OEIS frontend

A091602 Triangle: T(n,k) is the number of partitions of n such that some part is repeated k times and no part is repeated more than k times.

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

[1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 3, 2, 1, 0, 1, 4, 3, 2, 1, 0, 1, 5, 4, 3, 1, 1, 0, 1, 6, 7, 3, 3, 1, 1, 0, 1, 8, 8, 6, 3, 2, 1, 1, 0, 1, 10, 12, 7, 5, 3, 2, 1, 1, 0, 1, 12, 15, 11, 6, 5, 2, 2, 1, 1, 0, 1, 15, 21, 14, 10, 5, 5, 2, 2, 1, 1, 0, 1, 18, 26, 20, 12, 9, 5, 4, 2, 2, 1, 1, 0, 1, 22, 35, 25, 18, 11, 8, 5, 4, 2, 2, 1, 1, 0, 1]

cp's OEIS Frontend

A091602 Triangle: T(n,k) is the number of partitions of n such that some part is repeated k times and no part is repeated more than k times.

Table of values

List of values

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

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

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