A116687 - cp's OEIS frontend

A116687 Triangle read by rows: T(n,k) is the number of partitions of n for which the sum of the parts that are smaller than the largest part is equal to k (n>=1, k>=0).

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

[1, 2, 2, 1, 3, 1, 1, 2, 2, 2, 1, 4, 1, 3, 2, 1, 2, 3, 2, 4, 3, 1, 4, 1, 5, 3, 5, 3, 1, 3, 3, 2, 6, 5, 6, 4, 1, 4, 2, 5, 3, 9, 6, 8, 4, 1, 2, 3, 4, 7, 5, 11, 9, 9, 5, 1, 6, 1, 5, 5, 10, 7, 15, 11, 11, 5, 1, 2, 5, 2, 7, 8, 13, 11, 18, 15, 13, 6, 1, 4, 1, 9, 3, 11, 10, 19, 14, 24, 18, 15, 6, 1, 4, 3, 2, 12, 5]

cp's OEIS Frontend

A116687 Triangle read by rows: T(n,k) is the number of partitions of n for which the sum of the parts that are smaller than the largest part is equal to k (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	2
10	2
11	1
12	4
13	1
14	3
15	2
16	1
17	2
18	3
19	2
20	4
21	3
22	1
23	4
24	1
25	5
26	3
27	5
28	3
29	1
30	3
31	3
32	2
33	6
34	5
35	6
36	4
37	1
38	4
39	2
40	5
41	3
42	9
43	6
44	8
45	4
46	1
47	2
48	3
49	4
50	7
51	5
52	11
53	9
54	9
55	5
56	1
57	6
58	1
59	5
60	5
61	10
62	7
63	15
64	11
65	11
66	5
67	1
68	2
69	5
70	2
71	7
72	8
73	13
74	11
75	18
76	15
77	13
78	6
79	1
80	4
81	1
82	9
83	3
84	11
85	10
86	19
87	14
88	24
89	18
90	15
91	6
92	1
93	4
94	3
95	2
96	12
97	5

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

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