A166291 - cp's OEIS frontend

A166291 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n and having k peaks at odd level (0<=k<=n; U=(1,1), D=(1,-1)).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	6
17	3
18	4
19	0
20	1
21	5
22	10
23	12
24	4
25	5
26	0
27	1
28	8
29	20
30	22
31	20
32	5
33	6
34	0
35	1
36	13
37	36
38	52
39	40
40	30
41	6
42	7
43	0
44	1
45	21
46	66
47	104
48	109
49	65
50	42
51	7
52	8
53	0
54	1
55	34
56	118
57	214
58	240
59	200
60	98
61	56
62	8
63	9
64	0
65	1
66	55
67	210
68	421
69	549
70	481
71	335
72	140
73	72
74	9
75	10
76	0
77	1
78	89
79	370

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 3, 0, 1, 3, 6, 3, 4, 0, 1, 5, 10, 12, 4, 5, 0, 1, 8, 20, 22, 20, 5, 6, 0, 1, 13, 36, 52, 40, 30, 6, 7, 0, 1, 21, 66, 104, 109, 65, 42, 7, 8, 0, 1, 34, 118, 214, 240, 200, 98, 56, 8, 9, 0, 1, 55, 210, 421, 549, 481, 335, 140, 72, 9, 10, 0, 1, 89, 370]

cp's OEIS Frontend

A166291 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n and having k peaks at odd level (0<=k<=n; U=(1,1), D=(1,-1)).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	6
17	3
18	4
19	0
20	1
21	5
22	10
23	12
24	4
25	5
26	0
27	1
28	8
29	20
30	22
31	20
32	5
33	6
34	0
35	1
36	13
37	36
38	52
39	40
40	30
41	6
42	7
43	0
44	1
45	21
46	66
47	104
48	109
49	65
50	42
51	7
52	8
53	0
54	1
55	34
56	118
57	214
58	240
59	200
60	98
61	56
62	8
63	9
64	0
65	1
66	55
67	210
68	421
69	549
70	481
71	335
72	140
73	72
74	9
75	10
76	0
77	1
78	89
79	370

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	6
17	3
18	4
19	0
20	1
21	5
22	10
23	12
24	4
25	5
26	0
27	1
28	8
29	20
30	22
31	20
32	5
33	6
34	0
35	1
36	13
37	36
38	52
39	40
40	30
41	6
42	7
43	0
44	1
45	21
46	66
47	104
48	109
49	65
50	42
51	7
52	8
53	0
54	1
55	34
56	118
57	214
58	240
59	200
60	98
61	56
62	8
63	9
64	0
65	1
66	55
67	210
68	421
69	549
70	481
71	335
72	140
73	72
74	9
75	10
76	0
77	1
78	89
79	370

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	6
17	3
18	4
19	0
20	1
21	5
22	10
23	12
24	4
25	5
26	0
27	1
28	8
29	20
30	22
31	20
32	5
33	6
34	0
35	1
36	13
37	36
38	52
39	40
40	30
41	6
42	7
43	0
44	1
45	21
46	66
47	104
48	109
49	65
50	42
51	7
52	8
53	0
54	1
55	34
56	118
57	214
58	240
59	200
60	98
61	56
62	8
63	9
64	0
65	1
66	55
67	210
68	421
69	549
70	481
71	335
72	140
73	72
74	9
75	10
76	0
77	1
78	89
79	370