A091975 - cp's OEIS frontend

A091975 a(1) = 1; for n>1, a(n) = largest integer k such that the word a(1)a(2)...a(n-1) is of is of the form xy^(k_1)Y^(k_2)y^(k_3)Y^(k_4)...y^(k_(m-1))Y^(k_m) where y has positive length and Y=reverse(y) and k_1+k_2+k_3+...+k_m = k.

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

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

cp's OEIS Frontend

A091975 a(1) = 1; for n>1, a(n) = largest integer k such that the word a(1)a(2)...a(n-1) is of is of the form xy^(k_1)Y^(k_2)y^(k_3)Y^(k_4)...y^(k_(m-1))Y^(k_m) where y has positive length and Y=reverse(y) and k_1+k_2+k_3+...+k_m = k.

Table of values

List of values

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

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

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