A116685 - cp's OEIS frontend

A116685 Triangle read by rows: T(n,k) is number of partitions of n that have k parts smaller than the largest part (n>=1, k>=0).

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

[1, 2, 2, 1, 3, 1, 1, 2, 3, 1, 1, 4, 2, 3, 1, 1, 2, 5, 3, 3, 1, 1, 4, 4, 6, 3, 3, 1, 1, 3, 6, 6, 7, 3, 3, 1, 1, 4, 6, 10, 7, 7, 3, 3, 1, 1, 2, 9, 10, 12, 8, 7, 3, 3, 1, 1, 6, 6, 15, 14, 13, 8, 7, 3, 3, 1, 1, 2, 11, 15, 20, 16, 14, 8, 7, 3, 3, 1, 1, 4, 10, 21, 22, 24, 17, 14, 8, 7, 3, 3, 1, 1, 4, 11, 21]

cp's OEIS Frontend

A116685 Triangle read by rows: T(n,k) is number of partitions of n that have k parts smaller than the largest part (n>=1, k>=0).

Table of values

List of values

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

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

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