A092331 - cp's OEIS frontend

A092331 For S a string of numbers, let F(S) = the sum of those numbers. Let a(1)=1. For n>1, a(n) is the largest k such that the string 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 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	2
5	3
6	1
7	2
8	2
9	3
10	2
11	3
12	2
13	4
14	3
15	3
16	3
17	4
18	1
19	3
20	2
21	2
22	3
23	3
24	3
25	3
26	4
27	2
28	3
29	3
30	4
31	2
32	5
33	2
34	2
35	4
36	3
37	2
38	5
39	2
40	3
41	3
42	2
43	4
44	2
45	3
46	3
47	2
48	3
49	3
50	3
51	3
52	4
53	2
54	3
55	3
56	4
57	4
58	4
59	3
60	3
61	4
62	4
63	4
64	3
65	3
66	3
67	3
68	4
69	4
70	4
71	4
72	4
73	5
74	3
75	4
76	3
77	2
78	3
79	3
80	2
81	3
82	4
83	4
84	3
85	3
86	5
87	3
88	3
89	3
90	4
91	5
92	3
93	3
94	3
95	4
96	3
97	3
98	5
99	3
100	6
101	3
102	3
103	4
104	6
105	2

[1, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 4, 3, 3, 3, 4, 1, 3, 2, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 2, 5, 2, 2, 4, 3, 2, 5, 2, 3, 3, 2, 4, 2, 3, 3, 2, 3, 3, 3, 3, 4, 2, 3, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 3, 4, 3, 2, 3, 3, 2, 3, 4, 4, 3, 3, 5, 3, 3, 3, 4, 5, 3, 3, 3, 4, 3, 3, 5, 3, 6, 3, 3, 4, 6, 2]

cp's OEIS Frontend

Table of values

List of values

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

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

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