A293595 - cp's OEIS frontend

A293595 Triangle read by rows: T(n,k) = number of compositions of n into k parts such that no two cyclically adjacent parts are equal.

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	2
20	0
21	0
22	1
23	6
24	6
25	4
26	0
27	0
28	0
29	1
30	6
31	12
32	10
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	16
41	10
42	2
43	0
44	0
45	0
46	1
47	8
48	24
49	40
50	20
51	6
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	52
60	50
61	18
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	84
71	90
72	50
73	14
74	2
75	0
76	0
77	0
78	0

[1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 4, 0, 0, 0, 1, 4, 6, 2, 0, 0, 1, 6, 6, 4, 0, 0, 0, 1, 6, 12, 10, 0, 0, 0, 0, 1, 8, 18, 16, 10, 2, 0, 0, 0, 1, 8, 24, 40, 20, 6, 0, 0, 0, 0, 1, 10, 30, 52, 50, 18, 0, 0, 0, 0, 0, 1, 10, 42, 84, 90, 50, 14, 2, 0, 0, 0, 0]

cp's OEIS Frontend

A293595 Triangle read by rows: T(n,k) = number of compositions of n into k parts such that no two cyclically adjacent parts are equal.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	2
20	0
21	0
22	1
23	6
24	6
25	4
26	0
27	0
28	0
29	1
30	6
31	12
32	10
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	16
41	10
42	2
43	0
44	0
45	0
46	1
47	8
48	24
49	40
50	20
51	6
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	52
60	50
61	18
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	84
71	90
72	50
73	14
74	2
75	0
76	0
77	0
78	0

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	2
20	0
21	0
22	1
23	6
24	6
25	4
26	0
27	0
28	0
29	1
30	6
31	12
32	10
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	16
41	10
42	2
43	0
44	0
45	0
46	1
47	8
48	24
49	40
50	20
51	6
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	52
60	50
61	18
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	84
71	90
72	50
73	14
74	2
75	0
76	0
77	0
78	0

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	2
20	0
21	0
22	1
23	6
24	6
25	4
26	0
27	0
28	0
29	1
30	6
31	12
32	10
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	16
41	10
42	2
43	0
44	0
45	0
46	1
47	8
48	24
49	40
50	20
51	6
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	52
60	50
61	18
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	84
71	90
72	50
73	14
74	2
75	0
76	0
77	0
78	0