A228823 - cp's OEIS frontend

A228823 Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n.

n	a(n)
1	1
2	2
3	1
4	5
5	2
6	1
7	9
8	5
9	2
10	1
11	17
12	9
13	5
14	2
15	1
16	27
17	17
18	9
19	5
20	2
21	1
22	46
23	27
24	17
25	9
26	5
27	2
28	1
29	69
30	46
31	27
32	17
33	9
34	5
35	2
36	1
37	108
38	69
39	46
40	27
41	17
42	9
43	5
44	2
45	1
46	158
47	108
48	69
49	46
50	27
51	17
52	9
53	5
54	2
55	1
56	234
57	158
58	108
59	69
60	46
61	27
62	17
63	9
64	5
65	2
66	1
67	331
68	234
69	158
70	108
71	69

[1, 2, 1, 5, 2, 1, 9, 5, 2, 1, 17, 9, 5, 2, 1, 27, 17, 9, 5, 2, 1, 46, 27, 17, 9, 5, 2, 1, 69, 46, 27, 17, 9, 5, 2, 1, 108, 69, 46, 27, 17, 9, 5, 2, 1, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1, 234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1, 331, 234, 158, 108, 69]

cp's OEIS Frontend

A228823 Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	5
5	2
6	1
7	9
8	5
9	2
10	1
11	17
12	9
13	5
14	2
15	1
16	27
17	17
18	9
19	5
20	2
21	1
22	46
23	27
24	17
25	9
26	5
27	2
28	1
29	69
30	46
31	27
32	17
33	9
34	5
35	2
36	1
37	108
38	69
39	46
40	27
41	17
42	9
43	5
44	2
45	1
46	158
47	108
48	69
49	46
50	27
51	17
52	9
53	5
54	2
55	1
56	234
57	158
58	108
59	69
60	46
61	27
62	17
63	9
64	5
65	2
66	1
67	331
68	234
69	158
70	108
71	69

n	a(n)
1	1
2	2
3	1
4	5
5	2
6	1
7	9
8	5
9	2
10	1
11	17
12	9
13	5
14	2
15	1
16	27
17	17
18	9
19	5
20	2
21	1
22	46
23	27
24	17
25	9
26	5
27	2
28	1
29	69
30	46
31	27
32	17
33	9
34	5
35	2
36	1
37	108
38	69
39	46
40	27
41	17
42	9
43	5
44	2
45	1
46	158
47	108
48	69
49	46
50	27
51	17
52	9
53	5
54	2
55	1
56	234
57	158
58	108
59	69
60	46
61	27
62	17
63	9
64	5
65	2
66	1
67	331
68	234
69	158
70	108
71	69

n	a(n)
1	1
2	2
3	1
4	5
5	2
6	1
7	9
8	5
9	2
10	1
11	17
12	9
13	5
14	2
15	1
16	27
17	17
18	9
19	5
20	2
21	1
22	46
23	27
24	17
25	9
26	5
27	2
28	1
29	69
30	46
31	27
32	17
33	9
34	5
35	2
36	1
37	108
38	69
39	46
40	27
41	17
42	9
43	5
44	2
45	1
46	158
47	108
48	69
49	46
50	27
51	17
52	9
53	5
54	2
55	1
56	234
57	158
58	108
59	69
60	46
61	27
62	17
63	9
64	5
65	2
66	1
67	331
68	234
69	158
70	108
71	69