A296373 - cp's OEIS frontend

A296373 Triangle T(n,k) = number of compositions of n whose factorization into Lyndon words (aperiodic necklaces) is of length k.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	6
12	5
13	3
14	1
15	1
16	9
17	12
18	6
19	3
20	1
21	1
22	18
23	21
24	14
25	6
26	3
27	1
28	1
29	30
30	45
31	27
32	15
33	6
34	3
35	1
36	1
37	56
38	84
39	61
40	29
41	15
42	6
43	3
44	1
45	1
46	99
47	170
48	120
49	67
50	30
51	15
52	6
53	3
54	1
55	1
56	186
57	323
58	254
59	136
60	69
61	30
62	15
63	6
64	3
65	1
66	1
67	335
68	640
69	510
70	295
71	142
72	70
73	30
74	15
75	6
76	3
77	1
78	1

[1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 6, 5, 3, 1, 1, 9, 12, 6, 3, 1, 1, 18, 21, 14, 6, 3, 1, 1, 30, 45, 27, 15, 6, 3, 1, 1, 56, 84, 61, 29, 15, 6, 3, 1, 1, 99, 170, 120, 67, 30, 15, 6, 3, 1, 1, 186, 323, 254, 136, 69, 30, 15, 6, 3, 1, 1, 335, 640, 510, 295, 142, 70, 30, 15, 6, 3, 1, 1]

cp's OEIS Frontend

A296373 Triangle T(n,k) = number of compositions of n whose factorization into Lyndon words (aperiodic necklaces) is of length k.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	6
12	5
13	3
14	1
15	1
16	9
17	12
18	6
19	3
20	1
21	1
22	18
23	21
24	14
25	6
26	3
27	1
28	1
29	30
30	45
31	27
32	15
33	6
34	3
35	1
36	1
37	56
38	84
39	61
40	29
41	15
42	6
43	3
44	1
45	1
46	99
47	170
48	120
49	67
50	30
51	15
52	6
53	3
54	1
55	1
56	186
57	323
58	254
59	136
60	69
61	30
62	15
63	6
64	3
65	1
66	1
67	335
68	640
69	510
70	295
71	142
72	70
73	30
74	15
75	6
76	3
77	1
78	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	6
12	5
13	3
14	1
15	1
16	9
17	12
18	6
19	3
20	1
21	1
22	18
23	21
24	14
25	6
26	3
27	1
28	1
29	30
30	45
31	27
32	15
33	6
34	3
35	1
36	1
37	56
38	84
39	61
40	29
41	15
42	6
43	3
44	1
45	1
46	99
47	170
48	120
49	67
50	30
51	15
52	6
53	3
54	1
55	1
56	186
57	323
58	254
59	136
60	69
61	30
62	15
63	6
64	3
65	1
66	1
67	335
68	640
69	510
70	295
71	142
72	70
73	30
74	15
75	6
76	3
77	1
78	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	1
10	1
11	6
12	5
13	3
14	1
15	1
16	9
17	12
18	6
19	3
20	1
21	1
22	18
23	21
24	14
25	6
26	3
27	1
28	1
29	30
30	45
31	27
32	15
33	6
34	3
35	1
36	1
37	56
38	84
39	61
40	29
41	15
42	6
43	3
44	1
45	1
46	99
47	170
48	120
49	67
50	30
51	15
52	6
53	3
54	1
55	1
56	186
57	323
58	254
59	136
60	69
61	30
62	15
63	6
64	3
65	1
66	1
67	335
68	640
69	510
70	295
71	142
72	70
73	30
74	15
75	6
76	3
77	1
78	1