A161224 - cp's OEIS frontend

A161224 Triangular table a(n,m) that counts the occurrences of m in all partitions of 2n in exactly n parts.

n	a(n)
0	0
1	0
2	1
3	1
4	2
5	1
6	3
7	4
8	1
9	1
10	8
11	7
12	3
13	1
14	1
15	15
16	12
17	4
18	2
19	1
20	1
21	31
22	19
23	8
24	4
25	2
26	1
27	1
28	51
29	30
30	11
31	6
32	3
33	2
34	1
35	1
36	90
37	45
38	19
39	9
40	6
41	3
42	2
43	1
44	1
45	142
46	67
47	26
48	15
49	8
50	5
51	3
52	2
53	1
54	1
55	228
56	97
57	41
58	21
59	13
60	8
61	5
62	3
63	2
64	1
65	1
66	341
67	139
68	56
69	31
70	18
71	12
72	7
73	5
74	3
75	2
76	1
77	1
78	525
79	195
80	83
81	45
82	28
83	17
84	12
85	7
86	5
87	3
88	2
89	1
90	1

[0, 0, 1, 1, 2, 1, 3, 4, 1, 1, 8, 7, 3, 1, 1, 15, 12, 4, 2, 1, 1, 31, 19, 8, 4, 2, 1, 1, 51, 30, 11, 6, 3, 2, 1, 1, 90, 45, 19, 9, 6, 3, 2, 1, 1, 142, 67, 26, 15, 8, 5, 3, 2, 1, 1, 228, 97, 41, 21, 13, 8, 5, 3, 2, 1, 1, 341, 139, 56, 31, 18, 12, 7, 5, 3, 2, 1, 1, 525, 195, 83, 45, 28, 17, 12, 7, 5, 3, 2, 1, 1]

cp's OEIS Frontend

A161224 Triangular table a(n,m) that counts the occurrences of m in all partitions of 2n in exactly n parts.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	1
4	2
5	1
6	3
7	4
8	1
9	1
10	8
11	7
12	3
13	1
14	1
15	15
16	12
17	4
18	2
19	1
20	1
21	31
22	19
23	8
24	4
25	2
26	1
27	1
28	51
29	30
30	11
31	6
32	3
33	2
34	1
35	1
36	90
37	45
38	19
39	9
40	6
41	3
42	2
43	1
44	1
45	142
46	67
47	26
48	15
49	8
50	5
51	3
52	2
53	1
54	1
55	228
56	97
57	41
58	21
59	13
60	8
61	5
62	3
63	2
64	1
65	1
66	341
67	139
68	56
69	31
70	18
71	12
72	7
73	5
74	3
75	2
76	1
77	1
78	525
79	195
80	83
81	45
82	28
83	17
84	12
85	7
86	5
87	3
88	2
89	1
90	1

n	a(n)
0	0
1	0
2	1
3	1
4	2
5	1
6	3
7	4
8	1
9	1
10	8
11	7
12	3
13	1
14	1
15	15
16	12
17	4
18	2
19	1
20	1
21	31
22	19
23	8
24	4
25	2
26	1
27	1
28	51
29	30
30	11
31	6
32	3
33	2
34	1
35	1
36	90
37	45
38	19
39	9
40	6
41	3
42	2
43	1
44	1
45	142
46	67
47	26
48	15
49	8
50	5
51	3
52	2
53	1
54	1
55	228
56	97
57	41
58	21
59	13
60	8
61	5
62	3
63	2
64	1
65	1
66	341
67	139
68	56
69	31
70	18
71	12
72	7
73	5
74	3
75	2
76	1
77	1
78	525
79	195
80	83
81	45
82	28
83	17
84	12
85	7
86	5
87	3
88	2
89	1
90	1

n	a(n)
0	0
1	0
2	1
3	1
4	2
5	1
6	3
7	4
8	1
9	1
10	8
11	7
12	3
13	1
14	1
15	15
16	12
17	4
18	2
19	1
20	1
21	31
22	19
23	8
24	4
25	2
26	1
27	1
28	51
29	30
30	11
31	6
32	3
33	2
34	1
35	1
36	90
37	45
38	19
39	9
40	6
41	3
42	2
43	1
44	1
45	142
46	67
47	26
48	15
49	8
50	5
51	3
52	2
53	1
54	1
55	228
56	97
57	41
58	21
59	13
60	8
61	5
62	3
63	2
64	1
65	1
66	341
67	139
68	56
69	31
70	18
71	12
72	7
73	5
74	3
75	2
76	1
77	1
78	525
79	195
80	83
81	45
82	28
83	17
84	12
85	7
86	5
87	3
88	2
89	1
90	1