A309939 - cp's OEIS frontend

A309939 Triangle read by rows: T(n,k) is the number of compositions of n with k parts and 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	3
19	6
20	5
21	1
22	1
23	2
24	3
25	6
26	10
27	6
28	1
29	1
30	1
31	3
32	7
33	12
34	15
35	7
36	1
37	1
38	2
39	3
40	6
41	14
42	22
43	21
44	8
45	1
46	1
47	1
48	3
49	8
50	15
51	27
52	37
53	28
54	9
55	1
56	1
57	2
58	3
59	6
60	16
61	32
62	50
63	58
64	36
65	10
66	1
67	1
68	1
69	3
70	7
71	16
72	35
73	63
74	88
75	86
76	45
77	11
78	1

[1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 3, 4, 1, 1, 1, 3, 6, 5, 1, 1, 2, 3, 6, 10, 6, 1, 1, 1, 3, 7, 12, 15, 7, 1, 1, 2, 3, 6, 14, 22, 21, 8, 1, 1, 1, 3, 8, 15, 27, 37, 28, 9, 1, 1, 2, 3, 6, 16, 32, 50, 58, 36, 10, 1, 1, 1, 3, 7, 16, 35, 63, 88, 86, 45, 11, 1]

cp's OEIS Frontend

A309939 Triangle read by rows: T(n,k) is the number of compositions of n with k parts and 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	3
19	6
20	5
21	1
22	1
23	2
24	3
25	6
26	10
27	6
28	1
29	1
30	1
31	3
32	7
33	12
34	15
35	7
36	1
37	1
38	2
39	3
40	6
41	14
42	22
43	21
44	8
45	1
46	1
47	1
48	3
49	8
50	15
51	27
52	37
53	28
54	9
55	1
56	1
57	2
58	3
59	6
60	16
61	32
62	50
63	58
64	36
65	10
66	1
67	1
68	1
69	3
70	7
71	16
72	35
73	63
74	88
75	86
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	3
19	6
20	5
21	1
22	1
23	2
24	3
25	6
26	10
27	6
28	1
29	1
30	1
31	3
32	7
33	12
34	15
35	7
36	1
37	1
38	2
39	3
40	6
41	14
42	22
43	21
44	8
45	1
46	1
47	1
48	3
49	8
50	15
51	27
52	37
53	28
54	9
55	1
56	1
57	2
58	3
59	6
60	16
61	32
62	50
63	58
64	36
65	10
66	1
67	1
68	1
69	3
70	7
71	16
72	35
73	63
74	88
75	86
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	3
19	6
20	5
21	1
22	1
23	2
24	3
25	6
26	10
27	6
28	1
29	1
30	1
31	3
32	7
33	12
34	15
35	7
36	1
37	1
38	2
39	3
40	6
41	14
42	22
43	21
44	8
45	1
46	1
47	1
48	3
49	8
50	15
51	27
52	37
53	28
54	9
55	1
56	1
57	2
58	3
59	6
60	16
61	32
62	50
63	58
64	36
65	10
66	1
67	1
68	1
69	3
70	7
71	16
72	35
73	63
74	88
75	86
76	45
77	11
78	1