A240181 - cp's OEIS frontend

A240181 Array: t(n,k) is the number of partitions p of n such that the number of distinct numbers in the intersection of p and its conjugate is k, for k >= 0, n >= 1.

n	a(n)
1	0
2	1
3	2
4	2
5	0
6	1
7	2
8	3
9	2
10	4
11	1
12	4
13	6
14	0
15	1
16	4
17	8
18	3
19	8
20	8
21	5
22	1
23	10
24	9
25	11
26	10
27	22
28	8
29	1
30	1
31	14
32	22
33	17
34	3
35	18
36	34
37	19
38	5
39	1
40	18
41	50
42	21
43	12
44	26
45	60
46	34
47	13
48	2
49	30
50	74
51	52
52	19
53	0
54	1
55	36
56	105
57	57
58	29
59	4
60	44
61	120
62	93
63	34
64	5
65	1
66	60
67	144
68	128
69	40
70	13
71	64
72	186

[0, 1, 2, 2, 0, 1, 2, 3, 2, 4, 1, 4, 6, 0, 1, 4, 8, 3, 8, 8, 5, 1, 10, 9, 11, 10, 22, 8, 1, 1, 14, 22, 17, 3, 18, 34, 19, 5, 1, 18, 50, 21, 12, 26, 60, 34, 13, 2, 30, 74, 52, 19, 0, 1, 36, 105, 57, 29, 4, 44, 120, 93, 34, 5, 1, 60, 144, 128, 40, 13, 64, 186]

cp's OEIS Frontend

A240181 Array: t(n,k) is the number of partitions p of n such that the number of distinct numbers in the intersection of p and its conjugate is k, for k >= 0, n >= 1.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	2
5	0
6	1
7	2
8	3
9	2
10	4
11	1
12	4
13	6
14	0
15	1
16	4
17	8
18	3
19	8
20	8
21	5
22	1
23	10
24	9
25	11
26	10
27	22
28	8
29	1
30	1
31	14
32	22
33	17
34	3
35	18
36	34
37	19
38	5
39	1
40	18
41	50
42	21
43	12
44	26
45	60
46	34
47	13
48	2
49	30
50	74
51	52
52	19
53	0
54	1
55	36
56	105
57	57
58	29
59	4
60	44
61	120
62	93
63	34
64	5
65	1
66	60
67	144
68	128
69	40
70	13
71	64
72	186

n	a(n)
1	0
2	1
3	2
4	2
5	0
6	1
7	2
8	3
9	2
10	4
11	1
12	4
13	6
14	0
15	1
16	4
17	8
18	3
19	8
20	8
21	5
22	1
23	10
24	9
25	11
26	10
27	22
28	8
29	1
30	1
31	14
32	22
33	17
34	3
35	18
36	34
37	19
38	5
39	1
40	18
41	50
42	21
43	12
44	26
45	60
46	34
47	13
48	2
49	30
50	74
51	52
52	19
53	0
54	1
55	36
56	105
57	57
58	29
59	4
60	44
61	120
62	93
63	34
64	5
65	1
66	60
67	144
68	128
69	40
70	13
71	64
72	186

n	a(n)
1	0
2	1
3	2
4	2
5	0
6	1
7	2
8	3
9	2
10	4
11	1
12	4
13	6
14	0
15	1
16	4
17	8
18	3
19	8
20	8
21	5
22	1
23	10
24	9
25	11
26	10
27	22
28	8
29	1
30	1
31	14
32	22
33	17
34	3
35	18
36	34
37	19
38	5
39	1
40	18
41	50
42	21
43	12
44	26
45	60
46	34
47	13
48	2
49	30
50	74
51	52
52	19
53	0
54	1
55	36
56	105
57	57
58	29
59	4
60	44
61	120
62	93
63	34
64	5
65	1
66	60
67	144
68	128
69	40
70	13
71	64
72	186