A180184 - cp's OEIS frontend

A180184 Irregular triangle read by rows: T(n,k) is the number of compositions of n with k parts, all >= 4, for n >= 4 and 1 <= k <= floor(n/4).

n	a(n)
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	1
13	3
14	1
15	4
16	1
17	5
18	1
19	1
20	6
21	3
22	1
23	7
24	6
25	1
26	8
27	10
28	1
29	9
30	15
31	1
32	1
33	10
34	21
35	4
36	1
37	11
38	28
39	10
40	1
41	12
42	36
43	20
44	1
45	13
46	45
47	35
48	1
49	1
50	14
51	55
52	56
53	5
54	1
55	15
56	66
57	84
58	15
59	1
60	16
61	78
62	120
63	35
64	1
65	17
66	91
67	165
68	70
69	1
70	1
71	18
72	105
73	220
74	126
75	6
76	1
77	19
78	120
79	286
80	210
81	21
82	1
83	20

[1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 1, 6, 3, 1, 7, 6, 1, 8, 10, 1, 9, 15, 1, 1, 10, 21, 4, 1, 11, 28, 10, 1, 12, 36, 20, 1, 13, 45, 35, 1, 1, 14, 55, 56, 5, 1, 15, 66, 84, 15, 1, 16, 78, 120, 35, 1, 17, 91, 165, 70, 1, 1, 18, 105, 220, 126, 6, 1, 19, 120, 286, 210, 21, 1, 20]

cp's OEIS Frontend

A180184 Irregular triangle read by rows: T(n,k) is the number of compositions of n with k parts, all >= 4, for n >= 4 and 1 <= k <= floor(n/4).

Table of values

List of values

n	a(n)
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	1
13	3
14	1
15	4
16	1
17	5
18	1
19	1
20	6
21	3
22	1
23	7
24	6
25	1
26	8
27	10
28	1
29	9
30	15
31	1
32	1
33	10
34	21
35	4
36	1
37	11
38	28
39	10
40	1
41	12
42	36
43	20
44	1
45	13
46	45
47	35
48	1
49	1
50	14
51	55
52	56
53	5
54	1
55	15
56	66
57	84
58	15
59	1
60	16
61	78
62	120
63	35
64	1
65	17
66	91
67	165
68	70
69	1
70	1
71	18
72	105
73	220
74	126
75	6
76	1
77	19
78	120
79	286
80	210
81	21
82	1
83	20

n	a(n)
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	1
13	3
14	1
15	4
16	1
17	5
18	1
19	1
20	6
21	3
22	1
23	7
24	6
25	1
26	8
27	10
28	1
29	9
30	15
31	1
32	1
33	10
34	21
35	4
36	1
37	11
38	28
39	10
40	1
41	12
42	36
43	20
44	1
45	13
46	45
47	35
48	1
49	1
50	14
51	55
52	56
53	5
54	1
55	15
56	66
57	84
58	15
59	1
60	16
61	78
62	120
63	35
64	1
65	17
66	91
67	165
68	70
69	1
70	1
71	18
72	105
73	220
74	126
75	6
76	1
77	19
78	120
79	286
80	210
81	21
82	1
83	20

n	a(n)
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	2
12	1
13	3
14	1
15	4
16	1
17	5
18	1
19	1
20	6
21	3
22	1
23	7
24	6
25	1
26	8
27	10
28	1
29	9
30	15
31	1
32	1
33	10
34	21
35	4
36	1
37	11
38	28
39	10
40	1
41	12
42	36
43	20
44	1
45	13
46	45
47	35
48	1
49	1
50	14
51	55
52	56
53	5
54	1
55	15
56	66
57	84
58	15
59	1
60	16
61	78
62	120
63	35
64	1
65	17
66	91
67	165
68	70
69	1
70	1
71	18
72	105
73	220
74	126
75	6
76	1
77	19
78	120
79	286
80	210
81	21
82	1
83	20