A319002 - cp's OEIS frontend

A319002 Number of ordered factorizations of n where the sequence of GCDs of prime indices (A289508) of the factors is weakly increasing.

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

[1, 1, 1, 2, 1, 2, 1, 4, 2, 2, 1, 5, 1, 2, 2, 8, 1, 4, 1, 5, 2, 2, 1, 12, 2, 2, 4, 5, 1, 6, 1, 16, 2, 2, 2, 11, 1, 2, 2, 12, 1, 5, 1, 5, 4, 2, 1, 28, 2, 4, 2, 5, 1, 8, 2, 12, 2, 2, 1, 18, 1, 2, 5, 32, 2, 6, 1, 5, 2, 6, 1, 29, 1, 2, 4, 5, 2, 5, 1, 28, 8, 2, 1]

cp's OEIS Frontend

A319002 Number of ordered factorizations of n where the sequence of GCDs of prime indices (A289508) of the factors is weakly increasing.

Table of values

List of values

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

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

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