A263191 - cp's OEIS frontend

A263191 Triangle read by rows: T(n>=0, 1<=k<=A000108(n)) is the number of Dyck paths of length 2n having k smaller elements in Tamari order.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	0
8	1
9	1
10	3
11	2
12	2
13	2
14	0
15	2
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	3
26	5
27	4
28	2
29	4
30	0
31	5
32	2
33	0
34	2
35	0
36	3
37	0
38	1
39	0
40	0
41	2
42	0
43	0
44	0
45	2
46	0
47	0
48	0
49	0
50	1
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	1
65	1
66	5
67	4
68	9
69	6
70	7
71	6
72	3
73	10
74	6
75	4
76	4
77	0
78	9
79	5
80	2
81	0
82	4
83	4
84	4
85	0
86	0
87	4
88	3
89	1
90	0
91	2
92	4
93	0
94	4
95	0
96	0
97	0
98	3
99	0
100	0
101	2

[1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 3, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 4, 3, 5, 4, 2, 4, 0, 5, 2, 0, 2, 0, 3, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 5, 4, 9, 6, 7, 6, 3, 10, 6, 4, 4, 0, 9, 5, 2, 0, 4, 4, 4, 0, 0, 4, 3, 1, 0, 2, 4, 0, 4, 0, 0, 0, 3, 0, 0, 2]

cp's OEIS Frontend

A263191 Triangle read by rows: T(n>=0, 1<=k<=A000108(n)) is the number of Dyck paths of length 2n having k smaller elements in Tamari order.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	0
8	1
9	1
10	3
11	2
12	2
13	2
14	0
15	2
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	3
26	5
27	4
28	2
29	4
30	0
31	5
32	2
33	0
34	2
35	0
36	3
37	0
38	1
39	0
40	0
41	2
42	0
43	0
44	0
45	2
46	0
47	0
48	0
49	0
50	1
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	1
65	1
66	5
67	4
68	9
69	6
70	7
71	6
72	3
73	10
74	6
75	4
76	4
77	0
78	9
79	5
80	2
81	0
82	4
83	4
84	4
85	0
86	0
87	4
88	3
89	1
90	0
91	2
92	4
93	0
94	4
95	0
96	0
97	0
98	3
99	0
100	0
101	2

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	0
8	1
9	1
10	3
11	2
12	2
13	2
14	0
15	2
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	3
26	5
27	4
28	2
29	4
30	0
31	5
32	2
33	0
34	2
35	0
36	3
37	0
38	1
39	0
40	0
41	2
42	0
43	0
44	0
45	2
46	0
47	0
48	0
49	0
50	1
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	1
65	1
66	5
67	4
68	9
69	6
70	7
71	6
72	3
73	10
74	6
75	4
76	4
77	0
78	9
79	5
80	2
81	0
82	4
83	4
84	4
85	0
86	0
87	4
88	3
89	1
90	0
91	2
92	4
93	0
94	4
95	0
96	0
97	0
98	3
99	0
100	0
101	2

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	0
8	1
9	1
10	3
11	2
12	2
13	2
14	0
15	2
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	3
26	5
27	4
28	2
29	4
30	0
31	5
32	2
33	0
34	2
35	0
36	3
37	0
38	1
39	0
40	0
41	2
42	0
43	0
44	0
45	2
46	0
47	0
48	0
49	0
50	1
51	0
52	0
53	0
54	0
55	0
56	0
57	0
58	0
59	0
60	0
61	0
62	0
63	0
64	1
65	1
66	5
67	4
68	9
69	6
70	7
71	6
72	3
73	10
74	6
75	4
76	4
77	0
78	9
79	5
80	2
81	0
82	4
83	4
84	4
85	0
86	0
87	4
88	3
89	1
90	0
91	2
92	4
93	0
94	4
95	0
96	0
97	0
98	3
99	0
100	0
101	2