A330878 - cp's OEIS frontend

A330878 Number of solutions of length n to the word equation X_1^2 ... X_n^2 = (X_1 ... X_n)^2 in the language of optimal squareful words.

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

[1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 14, 13, 14, 14, 15, 15, 16, 16, 17, 19, 18, 18, 20, 19, 20, 21, 22, 21, 24, 22, 23, 24, 24, 24, 27, 25, 26, 30, 27, 27, 30, 30, 32, 33, 30, 30, 35, 31, 32, 33, 33, 34, 38, 34, 35, 43]

cp's OEIS Frontend

A330878 Number of solutions of length n to the word equation X_1^2 ... X_n^2 = (X_1 ... X_n)^2 in the language of optimal squareful words.

Table of values

List of values

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

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

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