A333213 - cp's OEIS frontend

A333213 Triangle read by rows where T(n,k) is the number of compositions of n with k adjacent terms that are equal or increasing (weak ascents) n >= 0, 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	1
9	1
10	0
11	2
12	4
13	1
14	1
15	0
16	3
17	6
18	5
19	1
20	1
21	0
22	4
23	10
24	10
25	6
26	1
27	1
28	0
29	5
30	17
31	20
32	13
33	7
34	1
35	1
36	0
37	6
38	27
39	38
40	31
41	16
42	8
43	1
44	1
45	0
46	8
47	40
48	69
49	67
50	42
51	19
52	9
53	1
54	1
55	0
56	10
57	58
58	123
59	132
60	101
61	54
62	22
63	10
64	1
65	1

[1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 4, 1, 1, 0, 3, 6, 5, 1, 1, 0, 4, 10, 10, 6, 1, 1, 0, 5, 17, 20, 13, 7, 1, 1, 0, 6, 27, 38, 31, 16, 8, 1, 1, 0, 8, 40, 69, 67, 42, 19, 9, 1, 1, 0, 10, 58, 123, 132, 101, 54, 22, 10, 1, 1]

cp's OEIS Frontend

A333213 Triangle read by rows where T(n,k) is the number of compositions of n with k adjacent terms that are equal or increasing (weak ascents) n >= 0, 0 <= k <= n.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	1
9	1
10	0
11	2
12	4
13	1
14	1
15	0
16	3
17	6
18	5
19	1
20	1
21	0
22	4
23	10
24	10
25	6
26	1
27	1
28	0
29	5
30	17
31	20
32	13
33	7
34	1
35	1
36	0
37	6
38	27
39	38
40	31
41	16
42	8
43	1
44	1
45	0
46	8
47	40
48	69
49	67
50	42
51	19
52	9
53	1
54	1
55	0
56	10
57	58
58	123
59	132
60	101
61	54
62	22
63	10
64	1
65	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	1
9	1
10	0
11	2
12	4
13	1
14	1
15	0
16	3
17	6
18	5
19	1
20	1
21	0
22	4
23	10
24	10
25	6
26	1
27	1
28	0
29	5
30	17
31	20
32	13
33	7
34	1
35	1
36	0
37	6
38	27
39	38
40	31
41	16
42	8
43	1
44	1
45	0
46	8
47	40
48	69
49	67
50	42
51	19
52	9
53	1
54	1
55	0
56	10
57	58
58	123
59	132
60	101
61	54
62	22
63	10
64	1
65	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	2
8	1
9	1
10	0
11	2
12	4
13	1
14	1
15	0
16	3
17	6
18	5
19	1
20	1
21	0
22	4
23	10
24	10
25	6
26	1
27	1
28	0
29	5
30	17
31	20
32	13
33	7
34	1
35	1
36	0
37	6
38	27
39	38
40	31
41	16
42	8
43	1
44	1
45	0
46	8
47	40
48	69
49	67
50	42
51	19
52	9
53	1
54	1
55	0
56	10
57	58
58	123
59	132
60	101
61	54
62	22
63	10
64	1
65	1