A129182 - cp's OEIS frontend

A129182 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the area between the x-axis and the path is k (n>=0; 0<=k<=n^2).

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

[1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 3, 0, 3, 0, 3, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 6, 0, 7, 0, 7, 0, 5, 0, 5, 0, 3, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 10, 0, 14, 0, 17, 0, 16, 0, 16, 0, 14, 0, 11, 0, 9, 0, 7, 0, 5, 0, 3, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0]

cp's OEIS Frontend

A129182 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the area between the x-axis and the path is k (n>=0; 0<=k<=n^2).

Table of values

List of values

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

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

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