A319004 - cp's OEIS frontend

A319004 Number of ordered factorizations of n where the sequence of LCMs of the prime indices (A290103) of each factor 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	4
13	1
14	2
15	2
16	8
17	1
18	5
19	1
20	4
21	2
22	2
23	1
24	8
25	2
26	2
27	4
28	4
29	1
30	5
31	1
32	16
33	2
34	2
35	2
36	11
37	1
38	2
39	2
40	8
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	16
49	2
50	5
51	2
52	4
53	1
54	12
55	2
56	8
57	2
58	2
59	1
60	11
61	1
62	2
63	4
64	32
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	23
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	16
81	8
82	2
83	1
84	11
85	2
86	2
87	2
88	8
89	1
90	12
91	2
92	4
93	2
94	2
95	2
96	32
97	1
98	5
99	4
100	11
101	1
102	5
103	1
104	8
105	5

[1, 1, 1, 2, 1, 2, 1, 4, 2, 2, 1, 4, 1, 2, 2, 8, 1, 5, 1, 4, 2, 2, 1, 8, 2, 2, 4, 4, 1, 5, 1, 16, 2, 2, 2, 11, 1, 2, 2, 8, 1, 5, 1, 4, 4, 2, 1, 16, 2, 5, 2, 4, 1, 12, 2, 8, 2, 2, 1, 11, 1, 2, 4, 32, 2, 5, 1, 4, 2, 5, 1, 23, 1, 2, 4, 4, 2, 5, 1, 16, 8, 2, 1, 11, 2, 2, 2, 8, 1, 12, 2, 4, 2, 2, 2, 32, 1, 5, 4, 11, 1, 5, 1, 8, 5]

cp's OEIS Frontend

A319004 Number of ordered factorizations of n where the sequence of LCMs of the prime indices (A290103) of each factor 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	4
13	1
14	2
15	2
16	8
17	1
18	5
19	1
20	4
21	2
22	2
23	1
24	8
25	2
26	2
27	4
28	4
29	1
30	5
31	1
32	16
33	2
34	2
35	2
36	11
37	1
38	2
39	2
40	8
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	16
49	2
50	5
51	2
52	4
53	1
54	12
55	2
56	8
57	2
58	2
59	1
60	11
61	1
62	2
63	4
64	32
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	23
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	16
81	8
82	2
83	1
84	11
85	2
86	2
87	2
88	8
89	1
90	12
91	2
92	4
93	2
94	2
95	2
96	32
97	1
98	5
99	4
100	11
101	1
102	5
103	1
104	8
105	5

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	4
13	1
14	2
15	2
16	8
17	1
18	5
19	1
20	4
21	2
22	2
23	1
24	8
25	2
26	2
27	4
28	4
29	1
30	5
31	1
32	16
33	2
34	2
35	2
36	11
37	1
38	2
39	2
40	8
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	16
49	2
50	5
51	2
52	4
53	1
54	12
55	2
56	8
57	2
58	2
59	1
60	11
61	1
62	2
63	4
64	32
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	23
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	16
81	8
82	2
83	1
84	11
85	2
86	2
87	2
88	8
89	1
90	12
91	2
92	4
93	2
94	2
95	2
96	32
97	1
98	5
99	4
100	11
101	1
102	5
103	1
104	8
105	5

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	4
13	1
14	2
15	2
16	8
17	1
18	5
19	1
20	4
21	2
22	2
23	1
24	8
25	2
26	2
27	4
28	4
29	1
30	5
31	1
32	16
33	2
34	2
35	2
36	11
37	1
38	2
39	2
40	8
41	1
42	5
43	1
44	4
45	4
46	2
47	1
48	16
49	2
50	5
51	2
52	4
53	1
54	12
55	2
56	8
57	2
58	2
59	1
60	11
61	1
62	2
63	4
64	32
65	2
66	5
67	1
68	4
69	2
70	5
71	1
72	23
73	1
74	2
75	4
76	4
77	2
78	5
79	1
80	16
81	8
82	2
83	1
84	11
85	2
86	2
87	2
88	8
89	1
90	12
91	2
92	4
93	2
94	2
95	2
96	32
97	1
98	5
99	4
100	11
101	1
102	5
103	1
104	8
105	5