A166301 - cp's OEIS frontend

A166301 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having pyramid weight k.

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	0
13	0
14	2
15	0
16	0
17	0
18	0
19	1
20	3
21	0
22	0
23	0
24	0
25	1
26	2
27	5
28	0
29	0
30	0
31	0
32	1
33	2
34	6
35	8
36	0
37	0
38	0
39	0
40	1
41	2
42	8
43	13
44	13
45	0
46	0
47	0
48	0
49	1
50	2
51	10
52	19
53	29
54	21
55	0
56	0
57	0
58	0
59	1
60	2
61	12
62	25
63	51
64	60
65	34
66	0
67	0
68	0
69	0
70	1
71	2
72	14
73	31
74	78
75	120
76	122
77	55
78	0
79	0
80	0
81	0
82	1
83	2
84	16
85	37
86	110
87	200
88	282
89	241

[1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 2, 5, 0, 0, 0, 0, 1, 2, 6, 8, 0, 0, 0, 0, 1, 2, 8, 13, 13, 0, 0, 0, 0, 1, 2, 10, 19, 29, 21, 0, 0, 0, 0, 1, 2, 12, 25, 51, 60, 34, 0, 0, 0, 0, 1, 2, 14, 31, 78, 120, 122, 55, 0, 0, 0, 0, 1, 2, 16, 37, 110, 200, 282, 241]

cp's OEIS Frontend

A166301 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having pyramid weight k.

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	0
13	0
14	2
15	0
16	0
17	0
18	0
19	1
20	3
21	0
22	0
23	0
24	0
25	1
26	2
27	5
28	0
29	0
30	0
31	0
32	1
33	2
34	6
35	8
36	0
37	0
38	0
39	0
40	1
41	2
42	8
43	13
44	13
45	0
46	0
47	0
48	0
49	1
50	2
51	10
52	19
53	29
54	21
55	0
56	0
57	0
58	0
59	1
60	2
61	12
62	25
63	51
64	60
65	34
66	0
67	0
68	0
69	0
70	1
71	2
72	14
73	31
74	78
75	120
76	122
77	55
78	0
79	0
80	0
81	0
82	1
83	2
84	16
85	37
86	110
87	200
88	282
89	241

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	0
13	0
14	2
15	0
16	0
17	0
18	0
19	1
20	3
21	0
22	0
23	0
24	0
25	1
26	2
27	5
28	0
29	0
30	0
31	0
32	1
33	2
34	6
35	8
36	0
37	0
38	0
39	0
40	1
41	2
42	8
43	13
44	13
45	0
46	0
47	0
48	0
49	1
50	2
51	10
52	19
53	29
54	21
55	0
56	0
57	0
58	0
59	1
60	2
61	12
62	25
63	51
64	60
65	34
66	0
67	0
68	0
69	0
70	1
71	2
72	14
73	31
74	78
75	120
76	122
77	55
78	0
79	0
80	0
81	0
82	1
83	2
84	16
85	37
86	110
87	200
88	282
89	241

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	0
13	0
14	2
15	0
16	0
17	0
18	0
19	1
20	3
21	0
22	0
23	0
24	0
25	1
26	2
27	5
28	0
29	0
30	0
31	0
32	1
33	2
34	6
35	8
36	0
37	0
38	0
39	0
40	1
41	2
42	8
43	13
44	13
45	0
46	0
47	0
48	0
49	1
50	2
51	10
52	19
53	29
54	21
55	0
56	0
57	0
58	0
59	1
60	2
61	12
62	25
63	51
64	60
65	34
66	0
67	0
68	0
69	0
70	1
71	2
72	14
73	31
74	78
75	120
76	122
77	55
78	0
79	0
80	0
81	0
82	1
83	2
84	16
85	37
86	110
87	200
88	282
89	241