A067059 - cp's OEIS frontend

A067059 Square array read by antidiagonals of partitions which half fill an n*k box, i.e., partitions of floor(nk/2) or ceiling(nk/2) into up to n positive integers, each no more than k.

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

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 5, 5, 3, 1, 1, 1, 1, 4, 6, 8, 6, 4, 1, 1, 1, 1, 4, 8, 12, 12, 8, 4, 1, 1, 1, 1, 5, 10, 18, 20, 18, 10, 5, 1, 1, 1, 1, 5, 13, 24, 32, 32, 24, 13, 5, 1, 1, 1, 1, 6, 15, 33, 49, 58, 49, 33, 15, 6, 1, 1, 1, 1, 6]

cp's OEIS Frontend

A067059 Square array read by antidiagonals of partitions which half fill an n*k box, i.e., partitions of floor(nk/2) or ceiling(nk/2) into up to n positive integers, each no more than k.

Table of values

List of values

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

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

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