A008284 - cp's OEIS frontend

A008284 Triangle of partition numbers: T(n,k) = number of partitions of n in which the greatest part is k, 1 <= k <= n. Also number of partitions of n into k positive parts, 1 <= k <= n.

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

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 3, 4, 3, 2, 1, 1, 1, 4, 5, 5, 3, 2, 1, 1, 1, 4, 7, 6, 5, 3, 2, 1, 1, 1, 5, 8, 9, 7, 5, 3, 2, 1, 1, 1, 5, 10, 11, 10, 7, 5, 3, 2, 1, 1, 1, 6, 12, 15, 13, 11, 7, 5, 3, 2, 1, 1, 1, 6, 14, 18, 18, 14, 11, 7, 5, 3, 2, 1, 1, 1, 7, 16, 23, 23, 20, 15, 11, 7, 5, 3, 2, 1, 1]

cp's OEIS Frontend

A008284 Triangle of partition numbers: T(n,k) = number of partitions of n in which the greatest part is k, 1 <= k <= n. Also number of partitions of n into k positive parts, 1 <= k <= n.

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