A229724 - cp's OEIS frontend

A229724 Triangular array read by rows: T(n,k) is the number of partitions of n in which the greatest odd part is equal to 2k-1; n >= 1, 1 <= k <= ceiling(n/2).

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

[1, 1, 2, 1, 2, 1, 4, 2, 1, 4, 3, 1, 7, 5, 2, 1, 7, 6, 3, 1, 12, 10, 5, 2, 1, 12, 12, 7, 3, 1, 19, 18, 11, 5, 2, 1, 19, 22, 14, 7, 3, 1, 30, 31, 21, 11, 5, 2, 1, 30, 37, 27, 15, 7, 3, 1, 45, 52, 38, 22, 11, 5, 2, 1, 45, 61, 48, 29, 15, 7, 3, 1, 67, 82, 66, 41]

cp's OEIS Frontend

A229724 Triangular array read by rows: T(n,k) is the number of partitions of n in which the greatest odd part is equal to 2k-1; n >= 1, 1 <= k <= ceiling(n/2).

Table of values

List of values

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

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

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