A309931 - cp's OEIS frontend

A309931 Triangle read by rows: T(n,k) is the number of compositions of n with k parts and circular differences all equal to 1, 0, or -1.

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

[1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 3, 4, 1, 1, 1, 1, 6, 5, 1, 1, 2, 3, 4, 10, 6, 1, 1, 1, 3, 5, 10, 15, 7, 1, 1, 2, 1, 4, 10, 20, 21, 8, 1, 1, 1, 3, 6, 11, 21, 35, 28, 9, 1, 1, 2, 3, 4, 10, 24, 42, 56, 36, 10, 1, 1, 1, 1, 5, 10, 25, 49, 78, 84, 45, 11, 1]

cp's OEIS Frontend

A309931 Triangle read by rows: T(n,k) is the number of compositions of n with k parts and circular differences all equal to 1, 0, or -1.

Table of values

List of values

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

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

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