A317578 - cp's OEIS frontend

A317578 Number T(n,k) of distinct integers that are product of the parts of exactly k partitions of n into 3 positive parts; triangle T(n,k), n>=3, k>=1, read by rows.

n	a(n)
3	1
4	1
5	2
6	3
7	4
8	5
9	7
10	8
11	10
12	12
13	12
14	1
15	12
16	2
17	19
18	19
19	1
20	22
21	1
22	27
23	28
24	1
25	31
26	1
27	31
28	3
29	38
30	1
31	42
32	1
33	46
34	1
35	50
36	1
37	50
38	3
39	57
40	2
41	51
42	7
43	64
44	3
45	71
46	2
47	70
48	5
49	77
50	4
51	85
52	3
53	86
54	5
55	84
56	9
57	104
58	2
59	104
60	5
61	108
62	6
63	108
64	8
65	1
66	123
67	5
68	122
69	9
70	119
71	14
72	136
73	9
74	147
75	7

[1, 1, 2, 3, 4, 5, 7, 8, 10, 12, 12, 1, 12, 2, 19, 19, 1, 22, 1, 27, 28, 1, 31, 1, 31, 3, 38, 1, 42, 1, 46, 1, 50, 1, 50, 3, 57, 2, 51, 7, 64, 3, 71, 2, 70, 5, 77, 4, 85, 3, 86, 5, 84, 9, 104, 2, 104, 5, 108, 6, 108, 8, 1, 123, 5, 122, 9, 119, 14, 136, 9, 147, 7]

cp's OEIS Frontend

A317578 Number T(n,k) of distinct integers that are product of the parts of exactly k partitions of n into 3 positive parts; triangle T(n,k), n>=3, k>=1, read by rows.

Table of values

List of values

n	a(n)
3	1
4	1
5	2
6	3
7	4
8	5
9	7
10	8
11	10
12	12
13	12
14	1
15	12
16	2
17	19
18	19
19	1
20	22
21	1
22	27
23	28
24	1
25	31
26	1
27	31
28	3
29	38
30	1
31	42
32	1
33	46
34	1
35	50
36	1
37	50
38	3
39	57
40	2
41	51
42	7
43	64
44	3
45	71
46	2
47	70
48	5
49	77
50	4
51	85
52	3
53	86
54	5
55	84
56	9
57	104
58	2
59	104
60	5
61	108
62	6
63	108
64	8
65	1
66	123
67	5
68	122
69	9
70	119
71	14
72	136
73	9
74	147
75	7

n	a(n)
3	1
4	1
5	2
6	3
7	4
8	5
9	7
10	8
11	10
12	12
13	12
14	1
15	12
16	2
17	19
18	19
19	1
20	22
21	1
22	27
23	28
24	1
25	31
26	1
27	31
28	3
29	38
30	1
31	42
32	1
33	46
34	1
35	50
36	1
37	50
38	3
39	57
40	2
41	51
42	7
43	64
44	3
45	71
46	2
47	70
48	5
49	77
50	4
51	85
52	3
53	86
54	5
55	84
56	9
57	104
58	2
59	104
60	5
61	108
62	6
63	108
64	8
65	1
66	123
67	5
68	122
69	9
70	119
71	14
72	136
73	9
74	147
75	7

n	a(n)
3	1
4	1
5	2
6	3
7	4
8	5
9	7
10	8
11	10
12	12
13	12
14	1
15	12
16	2
17	19
18	19
19	1
20	22
21	1
22	27
23	28
24	1
25	31
26	1
27	31
28	3
29	38
30	1
31	42
32	1
33	46
34	1
35	50
36	1
37	50
38	3
39	57
40	2
41	51
42	7
43	64
44	3
45	71
46	2
47	70
48	5
49	77
50	4
51	85
52	3
53	86
54	5
55	84
56	9
57	104
58	2
59	104
60	5
61	108
62	6
63	108
64	8
65	1
66	123
67	5
68	122
69	9
70	119
71	14
72	136
73	9
74	147
75	7