A368090 - cp's OEIS frontend

A368090 Triangle read by rows. T(n, k) = Sum_{p in P(n, k)} Product_{r in p}(r + 1), where P(n, k) are the partitions of n with length k.

n	a(n)
0	1
1	0
2	2
3	0
4	3
5	4
6	0
7	4
8	6
9	8
10	0
11	5
12	17
13	12
14	16
15	0
16	6
17	22
18	34
19	24
20	32
21	0
22	7
23	43
24	71
25	68
26	48
27	64
28	0
29	8
30	52
31	122
32	142
33	136
34	96
35	128
36	0
37	9
38	86
39	197
40	325
41	284
42	272
43	192
44	256
45	0
46	10
47	100
48	350
49	502
50	650
51	568
52	544
53	384
54	512

[1, 0, 2, 0, 3, 4, 0, 4, 6, 8, 0, 5, 17, 12, 16, 0, 6, 22, 34, 24, 32, 0, 7, 43, 71, 68, 48, 64, 0, 8, 52, 122, 142, 136, 96, 128, 0, 9, 86, 197, 325, 284, 272, 192, 256, 0, 10, 100, 350, 502, 650, 568, 544, 384, 512]

cp's OEIS Frontend

A368090 Triangle read by rows. T(n, k) = Sum_{p in P(n, k)} Product_{r in p}(r + 1), 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	2
3	0
4	3
5	4
6	0
7	4
8	6
9	8
10	0
11	5
12	17
13	12
14	16
15	0
16	6
17	22
18	34
19	24
20	32
21	0
22	7
23	43
24	71
25	68
26	48
27	64
28	0
29	8
30	52
31	122
32	142
33	136
34	96
35	128
36	0
37	9
38	86
39	197
40	325
41	284
42	272
43	192
44	256
45	0
46	10
47	100
48	350
49	502
50	650
51	568
52	544
53	384
54	512

n	a(n)
0	1
1	0
2	2
3	0
4	3
5	4
6	0
7	4
8	6
9	8
10	0
11	5
12	17
13	12
14	16
15	0
16	6
17	22
18	34
19	24
20	32
21	0
22	7
23	43
24	71
25	68
26	48
27	64
28	0
29	8
30	52
31	122
32	142
33	136
34	96
35	128
36	0
37	9
38	86
39	197
40	325
41	284
42	272
43	192
44	256
45	0
46	10
47	100
48	350
49	502
50	650
51	568
52	544
53	384
54	512

n	a(n)
0	1
1	0
2	2
3	0
4	3
5	4
6	0
7	4
8	6
9	8
10	0
11	5
12	17
13	12
14	16
15	0
16	6
17	22
18	34
19	24
20	32
21	0
22	7
23	43
24	71
25	68
26	48
27	64
28	0
29	8
30	52
31	122
32	142
33	136
34	96
35	128
36	0
37	9
38	86
39	197
40	325
41	284
42	272
43	192
44	256
45	0
46	10
47	100
48	350
49	502
50	650
51	568
52	544
53	384
54	512