A284593 - cp's OEIS frontend

A284593 Square array read by antidiagonals: T(n,k) = the number of pairs of partitions of n and k respectively, such that each partition is composed of distinct parts and the pair of partitions have no part in common.

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

[1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 3, 1, 1, 1, 1, 3, 4, 2, 2, 2, 2, 2, 4, 5, 2, 2, 2, 2, 2, 2, 5, 6, 3, 2, 3, 2, 3, 2, 3, 6, 8, 3, 3, 4, 3, 3, 4, 3, 3, 8, 10, 5, 4, 6, 5, 6, 5, 6, 4, 5, 10, 12, 5, 5, 6, 5, 6, 6, 5, 6, 5, 5, 12, 15, 7, 6, 8, 7, 8, 8, 8, 7, 8, 6, 7, 15]

cp's OEIS Frontend

A284593 Square array read by antidiagonals: T(n,k) = the number of pairs of partitions of n and k respectively, such that each partition is composed of distinct parts and the pair of partitions have no part in common.

Table of values

List of values

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

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

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