A296167 - cp's OEIS frontend

A296167 Triangle read by rows: T(n,k) is the number of circular compositions of n with length k such that no two adjacent parts are equal (1 <= k <= n).

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	0
10	0
11	1
12	2
13	0
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	1
23	3
24	2
25	1
26	0
27	0
28	0
29	1
30	3
31	4
32	3
33	0
34	0
35	0
36	0
37	1
38	4
39	6
40	4
41	2
42	1
43	0
44	0
45	0
46	1
47	4
48	8
49	11
50	4
51	1
52	0
53	0
54	0
55	0
56	1
57	5
58	10
59	13
60	10
61	3
62	0
63	0
64	0
65	0
66	0
67	1
68	5
69	14
70	22
71	18
72	10
73	2
74	1
75	0
76	0
77	0
78	0
79	1
80	6
81	16
82	29
83	32
84	20
85	6
86	1
87	0
88	0
89	0
90	0
91	0
92	1
93	6
94	20
95	44
96	50
97	40
98	18
99	4
100	0
101	0
102	0
103	0
104	0
105	0

[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 3, 2, 1, 0, 0, 0, 1, 3, 4, 3, 0, 0, 0, 0, 1, 4, 6, 4, 2, 1, 0, 0, 0, 1, 4, 8, 11, 4, 1, 0, 0, 0, 0, 1, 5, 10, 13, 10, 3, 0, 0, 0, 0, 0, 1, 5, 14, 22, 18, 10, 2, 1, 0, 0, 0, 0, 1, 6, 16, 29, 32, 20, 6, 1, 0, 0, 0, 0, 0, 1, 6, 20, 44, 50, 40, 18, 4, 0, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A296167 Triangle read by rows: T(n,k) is the number of circular compositions of n with length k such that no two adjacent parts are equal (1 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	0
10	0
11	1
12	2
13	0
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	1
23	3
24	2
25	1
26	0
27	0
28	0
29	1
30	3
31	4
32	3
33	0
34	0
35	0
36	0
37	1
38	4
39	6
40	4
41	2
42	1
43	0
44	0
45	0
46	1
47	4
48	8
49	11
50	4
51	1
52	0
53	0
54	0
55	0
56	1
57	5
58	10
59	13
60	10
61	3
62	0
63	0
64	0
65	0
66	0
67	1
68	5
69	14
70	22
71	18
72	10
73	2
74	1
75	0
76	0
77	0
78	0
79	1
80	6
81	16
82	29
83	32
84	20
85	6
86	1
87	0
88	0
89	0
90	0
91	0
92	1
93	6
94	20
95	44
96	50
97	40
98	18
99	4
100	0
101	0
102	0
103	0
104	0
105	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	0
10	0
11	1
12	2
13	0
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	1
23	3
24	2
25	1
26	0
27	0
28	0
29	1
30	3
31	4
32	3
33	0
34	0
35	0
36	0
37	1
38	4
39	6
40	4
41	2
42	1
43	0
44	0
45	0
46	1
47	4
48	8
49	11
50	4
51	1
52	0
53	0
54	0
55	0
56	1
57	5
58	10
59	13
60	10
61	3
62	0
63	0
64	0
65	0
66	0
67	1
68	5
69	14
70	22
71	18
72	10
73	2
74	1
75	0
76	0
77	0
78	0
79	1
80	6
81	16
82	29
83	32
84	20
85	6
86	1
87	0
88	0
89	0
90	0
91	0
92	1
93	6
94	20
95	44
96	50
97	40
98	18
99	4
100	0
101	0
102	0
103	0
104	0
105	0

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	0
7	1
8	1
9	0
10	0
11	1
12	2
13	0
14	0
15	0
16	1
17	2
18	2
19	1
20	0
21	0
22	1
23	3
24	2
25	1
26	0
27	0
28	0
29	1
30	3
31	4
32	3
33	0
34	0
35	0
36	0
37	1
38	4
39	6
40	4
41	2
42	1
43	0
44	0
45	0
46	1
47	4
48	8
49	11
50	4
51	1
52	0
53	0
54	0
55	0
56	1
57	5
58	10
59	13
60	10
61	3
62	0
63	0
64	0
65	0
66	0
67	1
68	5
69	14
70	22
71	18
72	10
73	2
74	1
75	0
76	0
77	0
78	0
79	1
80	6
81	16
82	29
83	32
84	20
85	6
86	1
87	0
88	0
89	0
90	0
91	0
92	1
93	6
94	20
95	44
96	50
97	40
98	18
99	4
100	0
101	0
102	0
103	0
104	0
105	0