A368091 - cp's OEIS frontend

A368091 Triangle read by rows. T(n, k) = Sum_{p in P(n, k)} Product_{r in p} r, where P(n, k) are the partitions of n with length k.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	2
9	1
10	0
11	4
12	7
13	2
14	1
15	0
16	5
17	10
18	7
19	2
20	1
21	0
22	6
23	22
24	18
25	7
26	2
27	1
28	0
29	7
30	28
31	34
32	18
33	7
34	2
35	1
36	0
37	8
38	50
39	62
40	50
41	18
42	7
43	2
44	1
45	0
46	9
47	60
48	121
49	86
50	50
51	18
52	7
53	2
54	1
55	0
56	10
57	95
58	182
59	189
60	118
61	50
62	18
63	7
64	2
65	1

[1, 0, 1, 0, 2, 1, 0, 3, 2, 1, 0, 4, 7, 2, 1, 0, 5, 10, 7, 2, 1, 0, 6, 22, 18, 7, 2, 1, 0, 7, 28, 34, 18, 7, 2, 1, 0, 8, 50, 62, 50, 18, 7, 2, 1, 0, 9, 60, 121, 86, 50, 18, 7, 2, 1, 0, 10, 95, 182, 189, 118, 50, 18, 7, 2, 1]

cp's OEIS Frontend

A368091 Triangle read by rows. T(n, k) = Sum_{p in P(n, k)} Product_{r in p} r, where P(n, k) are the partitions of n with length k.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	2
9	1
10	0
11	4
12	7
13	2
14	1
15	0
16	5
17	10
18	7
19	2
20	1
21	0
22	6
23	22
24	18
25	7
26	2
27	1
28	0
29	7
30	28
31	34
32	18
33	7
34	2
35	1
36	0
37	8
38	50
39	62
40	50
41	18
42	7
43	2
44	1
45	0
46	9
47	60
48	121
49	86
50	50
51	18
52	7
53	2
54	1
55	0
56	10
57	95
58	182
59	189
60	118
61	50
62	18
63	7
64	2
65	1

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	2
9	1
10	0
11	4
12	7
13	2
14	1
15	0
16	5
17	10
18	7
19	2
20	1
21	0
22	6
23	22
24	18
25	7
26	2
27	1
28	0
29	7
30	28
31	34
32	18
33	7
34	2
35	1
36	0
37	8
38	50
39	62
40	50
41	18
42	7
43	2
44	1
45	0
46	9
47	60
48	121
49	86
50	50
51	18
52	7
53	2
54	1
55	0
56	10
57	95
58	182
59	189
60	118
61	50
62	18
63	7
64	2
65	1

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	1
6	0
7	3
8	2
9	1
10	0
11	4
12	7
13	2
14	1
15	0
16	5
17	10
18	7
19	2
20	1
21	0
22	6
23	22
24	18
25	7
26	2
27	1
28	0
29	7
30	28
31	34
32	18
33	7
34	2
35	1
36	0
37	8
38	50
39	62
40	50
41	18
42	7
43	2
44	1
45	0
46	9
47	60
48	121
49	86
50	50
51	18
52	7
53	2
54	1
55	0
56	10
57	95
58	182
59	189
60	118
61	50
62	18
63	7
64	2
65	1