A092332 - cp's OEIS frontend

A092332 For S a string of numbers, let F(S) = the product of those numbers. Let a(1)=1. For n>1, a(n) is the greatest k such that a(1)a(2)...a(n-1) can be written in the form [x][y_1][y_2]...[y_k] where each y_i is of positive (but not necessarily all the same) length and F(y_i)=F(y_j) for all i,j<=k.

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	2
8	3
9	1
10	1
11	2
12	1
13	1
14	2
15	2
16	3
17	2
18	2
19	2
20	3
21	3
22	2
23	2
24	4
25	2
26	2
27	3
28	2
29	1
30	1
31	2
32	2
33	3
34	3
35	2
36	2
37	3
38	3
39	2
40	4
41	2
42	2
43	2
44	3
45	2
46	3
47	3
48	2
49	3
50	2
51	4
52	4
53	3
54	2
55	2
56	2
57	3
58	3
59	2
60	2
61	2
62	3
63	3
64	2
65	2
66	2
67	3
68	3
69	3
70	3
71	4
72	4
73	2
74	3
75	2
76	2
77	2
78	3
79	3
80	3
81	3
82	4
83	2
84	2
85	3
86	4
87	3
88	3
89	2
90	2
91	4
92	3
93	5
94	1
95	1
96	2
97	1
98	1
99	2
100	2
101	3
102	1
103	1
104	2
105	1

[1, 1, 2, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 4, 2, 2, 3, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 4, 2, 2, 2, 3, 2, 3, 3, 2, 3, 2, 4, 4, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 4, 4, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 4, 3, 3, 2, 2, 4, 3, 5, 1, 1, 2, 1, 1, 2, 2, 3, 1, 1, 2, 1]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	2
8	3
9	1
10	1
11	2
12	1
13	1
14	2
15	2
16	3
17	2
18	2
19	2
20	3
21	3
22	2
23	2
24	4
25	2
26	2
27	3
28	2
29	1
30	1
31	2
32	2
33	3
34	3
35	2
36	2
37	3
38	3
39	2
40	4
41	2
42	2
43	2
44	3
45	2
46	3
47	3
48	2
49	3
50	2
51	4
52	4
53	3
54	2
55	2
56	2
57	3
58	3
59	2
60	2
61	2
62	3
63	3
64	2
65	2
66	2
67	3
68	3
69	3
70	3
71	4
72	4
73	2
74	3
75	2
76	2
77	2
78	3
79	3
80	3
81	3
82	4
83	2
84	2
85	3
86	4
87	3
88	3
89	2
90	2
91	4
92	3
93	5
94	1
95	1
96	2
97	1
98	1
99	2
100	2
101	3
102	1
103	1
104	2
105	1

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	2
8	3
9	1
10	1
11	2
12	1
13	1
14	2
15	2
16	3
17	2
18	2
19	2
20	3
21	3
22	2
23	2
24	4
25	2
26	2
27	3
28	2
29	1
30	1
31	2
32	2
33	3
34	3
35	2
36	2
37	3
38	3
39	2
40	4
41	2
42	2
43	2
44	3
45	2
46	3
47	3
48	2
49	3
50	2
51	4
52	4
53	3
54	2
55	2
56	2
57	3
58	3
59	2
60	2
61	2
62	3
63	3
64	2
65	2
66	2
67	3
68	3
69	3
70	3
71	4
72	4
73	2
74	3
75	2
76	2
77	2
78	3
79	3
80	3
81	3
82	4
83	2
84	2
85	3
86	4
87	3
88	3
89	2
90	2
91	4
92	3
93	5
94	1
95	1
96	2
97	1
98	1
99	2
100	2
101	3
102	1
103	1
104	2
105	1

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	2
7	2
8	3
9	1
10	1
11	2
12	1
13	1
14	2
15	2
16	3
17	2
18	2
19	2
20	3
21	3
22	2
23	2
24	4
25	2
26	2
27	3
28	2
29	1
30	1
31	2
32	2
33	3
34	3
35	2
36	2
37	3
38	3
39	2
40	4
41	2
42	2
43	2
44	3
45	2
46	3
47	3
48	2
49	3
50	2
51	4
52	4
53	3
54	2
55	2
56	2
57	3
58	3
59	2
60	2
61	2
62	3
63	3
64	2
65	2
66	2
67	3
68	3
69	3
70	3
71	4
72	4
73	2
74	3
75	2
76	2
77	2
78	3
79	3
80	3
81	3
82	4
83	2
84	2
85	3
86	4
87	3
88	3
89	2
90	2
91	4
92	3
93	5
94	1
95	1
96	2
97	1
98	1
99	2
100	2
101	3
102	1
103	1
104	2
105	1