A180178 - cp's OEIS frontend

A180178 Triangle read by rows: T(n,k) is the number of compositions of n without 3's and having k parts; 1 <= k <= n.

n	a(n)
1	1
2	1
3	1
4	0
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	4
18	4
19	6
20	5
21	1
22	1
23	4
24	9
25	8
26	10
27	6
28	1
29	1
30	5
31	12
32	17
33	15
34	15
35	7
36	1
37	1
38	6
39	15
40	28
41	30
42	26
43	21
44	8
45	1
46	1
47	7
48	21
49	38
50	56
51	51
52	42
53	28
54	9
55	1
56	1
57	8
58	27
59	56
60	85
61	102
62	84
63	64
64	36
65	10
66	1
67	1
68	9
69	34
70	80
71	130
72	172
73	175
74	134
75	93
76	45
77	11
78	1
79	1
80	10
81	42
82	108
83	200

[1, 1, 1, 0, 2, 1, 1, 1, 3, 1, 1, 2, 3, 4, 1, 1, 4, 4, 6, 5, 1, 1, 4, 9, 8, 10, 6, 1, 1, 5, 12, 17, 15, 15, 7, 1, 1, 6, 15, 28, 30, 26, 21, 8, 1, 1, 7, 21, 38, 56, 51, 42, 28, 9, 1, 1, 8, 27, 56, 85, 102, 84, 64, 36, 10, 1, 1, 9, 34, 80, 130, 172, 175, 134, 93, 45, 11, 1, 1, 10, 42, 108, 200]

cp's OEIS Frontend

A180178 Triangle read by rows: T(n,k) is the number of compositions of n without 3's and having k parts; 1 <= k <= n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	0
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	4
18	4
19	6
20	5
21	1
22	1
23	4
24	9
25	8
26	10
27	6
28	1
29	1
30	5
31	12
32	17
33	15
34	15
35	7
36	1
37	1
38	6
39	15
40	28
41	30
42	26
43	21
44	8
45	1
46	1
47	7
48	21
49	38
50	56
51	51
52	42
53	28
54	9
55	1
56	1
57	8
58	27
59	56
60	85
61	102
62	84
63	64
64	36
65	10
66	1
67	1
68	9
69	34
70	80
71	130
72	172
73	175
74	134
75	93
76	45
77	11
78	1
79	1
80	10
81	42
82	108
83	200

n	a(n)
1	1
2	1
3	1
4	0
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	4
18	4
19	6
20	5
21	1
22	1
23	4
24	9
25	8
26	10
27	6
28	1
29	1
30	5
31	12
32	17
33	15
34	15
35	7
36	1
37	1
38	6
39	15
40	28
41	30
42	26
43	21
44	8
45	1
46	1
47	7
48	21
49	38
50	56
51	51
52	42
53	28
54	9
55	1
56	1
57	8
58	27
59	56
60	85
61	102
62	84
63	64
64	36
65	10
66	1
67	1
68	9
69	34
70	80
71	130
72	172
73	175
74	134
75	93
76	45
77	11
78	1
79	1
80	10
81	42
82	108
83	200

n	a(n)
1	1
2	1
3	1
4	0
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	4
18	4
19	6
20	5
21	1
22	1
23	4
24	9
25	8
26	10
27	6
28	1
29	1
30	5
31	12
32	17
33	15
34	15
35	7
36	1
37	1
38	6
39	15
40	28
41	30
42	26
43	21
44	8
45	1
46	1
47	7
48	21
49	38
50	56
51	51
52	42
53	28
54	9
55	1
56	1
57	8
58	27
59	56
60	85
61	102
62	84
63	64
64	36
65	10
66	1
67	1
68	9
69	34
70	80
71	130
72	172
73	175
74	134
75	93
76	45
77	11
78	1
79	1
80	10
81	42
82	108
83	200