A206563 - cp's OEIS frontend

A206563 Triangle read by rows: T(n,k) = number of odd/even parts >= k in all partitions of n, if k is odd/even.

n	a(n)
1	1
2	2
3	1
4	5
5	1
6	1
7	8
8	4
9	1
10	1
11	15
12	5
13	3
14	1
15	1
16	24
17	11
18	5
19	3
20	1
21	1
22	39
23	15
24	9
25	4
26	3
27	1
28	1
29	58
30	28
31	13
32	9
33	4
34	3
35	1
36	1
37	90
38	38
39	23
40	12
41	8
42	4
43	3
44	1
45	1
46	130
47	62
48	33
49	21
50	12
51	8
52	4
53	3
54	1
55	1
56	190
57	85
58	51
59	29
60	20
61	11
62	8
63	4
64	3
65	1
66	1
67	268
68	131
69	73
70	48
71	28
72	20
73	11
74	8
75	4
76	3
77	1
78	1

[1, 2, 1, 5, 1, 1, 8, 4, 1, 1, 15, 5, 3, 1, 1, 24, 11, 5, 3, 1, 1, 39, 15, 9, 4, 3, 1, 1, 58, 28, 13, 9, 4, 3, 1, 1, 90, 38, 23, 12, 8, 4, 3, 1, 1, 130, 62, 33, 21, 12, 8, 4, 3, 1, 1, 190, 85, 51, 29, 20, 11, 8, 4, 3, 1, 1, 268, 131, 73, 48, 28, 20, 11, 8, 4, 3, 1, 1]

cp's OEIS Frontend

A206563 Triangle read by rows: T(n,k) = number of odd/even parts >= k in all partitions of n, if k is odd/even.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	5
5	1
6	1
7	8
8	4
9	1
10	1
11	15
12	5
13	3
14	1
15	1
16	24
17	11
18	5
19	3
20	1
21	1
22	39
23	15
24	9
25	4
26	3
27	1
28	1
29	58
30	28
31	13
32	9
33	4
34	3
35	1
36	1
37	90
38	38
39	23
40	12
41	8
42	4
43	3
44	1
45	1
46	130
47	62
48	33
49	21
50	12
51	8
52	4
53	3
54	1
55	1
56	190
57	85
58	51
59	29
60	20
61	11
62	8
63	4
64	3
65	1
66	1
67	268
68	131
69	73
70	48
71	28
72	20
73	11
74	8
75	4
76	3
77	1
78	1

n	a(n)
1	1
2	2
3	1
4	5
5	1
6	1
7	8
8	4
9	1
10	1
11	15
12	5
13	3
14	1
15	1
16	24
17	11
18	5
19	3
20	1
21	1
22	39
23	15
24	9
25	4
26	3
27	1
28	1
29	58
30	28
31	13
32	9
33	4
34	3
35	1
36	1
37	90
38	38
39	23
40	12
41	8
42	4
43	3
44	1
45	1
46	130
47	62
48	33
49	21
50	12
51	8
52	4
53	3
54	1
55	1
56	190
57	85
58	51
59	29
60	20
61	11
62	8
63	4
64	3
65	1
66	1
67	268
68	131
69	73
70	48
71	28
72	20
73	11
74	8
75	4
76	3
77	1
78	1

n	a(n)
1	1
2	2
3	1
4	5
5	1
6	1
7	8
8	4
9	1
10	1
11	15
12	5
13	3
14	1
15	1
16	24
17	11
18	5
19	3
20	1
21	1
22	39
23	15
24	9
25	4
26	3
27	1
28	1
29	58
30	28
31	13
32	9
33	4
34	3
35	1
36	1
37	90
38	38
39	23
40	12
41	8
42	4
43	3
44	1
45	1
46	130
47	62
48	33
49	21
50	12
51	8
52	4
53	3
54	1
55	1
56	190
57	85
58	51
59	29
60	20
61	11
62	8
63	4
64	3
65	1
66	1
67	268
68	131
69	73
70	48
71	28
72	20
73	11
74	8
75	4
76	3
77	1
78	1