A066855 - cp's OEIS frontend

A066855 Triangle T(n,k) of numbers of representations of n as a sum of k products of positive integers, k=1..n. 1 is not allowed as a factor, unless it is the only factor.Representations which differ only in the order of terms or factors are considered equivalent.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	1
12	3
13	2
14	1
15	1
16	2
17	4
18	4
19	2
20	1
21	1
22	1
23	5
24	5
25	4
26	2
27	1
28	1
29	3
30	7
31	8
32	6
33	4
34	2
35	1
36	1
37	2
38	8
39	11
40	9
41	6
42	4
43	2
44	1
45	1
46	2
47	11
48	16
49	14
50	10
51	6
52	4
53	2
54	1
55	1
56	1
57	11
58	20
59	20
60	15
61	10
62	6
63	4
64	2
65	1
66	1
67	4
68	15
69	28
70	29
71	23
72	16
73	10
74	6
75	4
76	2
77	1
78	1
79	1
80	16
81	33
82	39
83	33
84	24
85	16
86	10
87	6
88	4
89	2
90	1
91	1
92	2
93	19

[1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 2, 1, 1, 2, 4, 4, 2, 1, 1, 1, 5, 5, 4, 2, 1, 1, 3, 7, 8, 6, 4, 2, 1, 1, 2, 8, 11, 9, 6, 4, 2, 1, 1, 2, 11, 16, 14, 10, 6, 4, 2, 1, 1, 1, 11, 20, 20, 15, 10, 6, 4, 2, 1, 1, 4, 15, 28, 29, 23, 16, 10, 6, 4, 2, 1, 1, 1, 16, 33, 39, 33, 24, 16, 10, 6, 4, 2, 1, 1, 2, 19]

cp's OEIS Frontend

A066855 Triangle T(n,k) of numbers of representations of n as a sum of k products of positive integers, k=1..n. 1 is not allowed as a factor, unless it is the only factor.Representations which differ only in the order of terms or factors are considered equivalent.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	1
12	3
13	2
14	1
15	1
16	2
17	4
18	4
19	2
20	1
21	1
22	1
23	5
24	5
25	4
26	2
27	1
28	1
29	3
30	7
31	8
32	6
33	4
34	2
35	1
36	1
37	2
38	8
39	11
40	9
41	6
42	4
43	2
44	1
45	1
46	2
47	11
48	16
49	14
50	10
51	6
52	4
53	2
54	1
55	1
56	1
57	11
58	20
59	20
60	15
61	10
62	6
63	4
64	2
65	1
66	1
67	4
68	15
69	28
70	29
71	23
72	16
73	10
74	6
75	4
76	2
77	1
78	1
79	1
80	16
81	33
82	39
83	33
84	24
85	16
86	10
87	6
88	4
89	2
90	1
91	1
92	2
93	19

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	1
12	3
13	2
14	1
15	1
16	2
17	4
18	4
19	2
20	1
21	1
22	1
23	5
24	5
25	4
26	2
27	1
28	1
29	3
30	7
31	8
32	6
33	4
34	2
35	1
36	1
37	2
38	8
39	11
40	9
41	6
42	4
43	2
44	1
45	1
46	2
47	11
48	16
49	14
50	10
51	6
52	4
53	2
54	1
55	1
56	1
57	11
58	20
59	20
60	15
61	10
62	6
63	4
64	2
65	1
66	1
67	4
68	15
69	28
70	29
71	23
72	16
73	10
74	6
75	4
76	2
77	1
78	1
79	1
80	16
81	33
82	39
83	33
84	24
85	16
86	10
87	6
88	4
89	2
90	1
91	1
92	2
93	19

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	2
9	1
10	1
11	1
12	3
13	2
14	1
15	1
16	2
17	4
18	4
19	2
20	1
21	1
22	1
23	5
24	5
25	4
26	2
27	1
28	1
29	3
30	7
31	8
32	6
33	4
34	2
35	1
36	1
37	2
38	8
39	11
40	9
41	6
42	4
43	2
44	1
45	1
46	2
47	11
48	16
49	14
50	10
51	6
52	4
53	2
54	1
55	1
56	1
57	11
58	20
59	20
60	15
61	10
62	6
63	4
64	2
65	1
66	1
67	4
68	15
69	28
70	29
71	23
72	16
73	10
74	6
75	4
76	2
77	1
78	1
79	1
80	16
81	33
82	39
83	33
84	24
85	16
86	10
87	6
88	4
89	2
90	1
91	1
92	2
93	19