A129172 - cp's OEIS frontend

A129172 Triangle read by rows: T(n,k) is the number of skew 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	1
7	1
8	0
9	0
10	0
11	1
12	1
13	3
14	2
15	1
16	1
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	5
26	5
27	3
28	5
29	4
30	3
31	2
32	1
33	1
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	1
42	5
43	7
44	12
45	10
46	11
47	12
48	14
49	12
50	10
51	8
52	10
53	7
54	5
55	4
56	3
57	2
58	1
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	1
69	6
70	9
71	19
72	23
73	28
74	26
75	36
76	38
77	38
78	32
79	36
80	36
81	34
82	29
83	27
84	25
85	21
86	15
87	16
88	13
89	10
90	7
91	5

[1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 4, 5, 5, 3, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 5, 7, 12, 10, 11, 12, 14, 12, 10, 8, 10, 7, 5, 4, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 6, 9, 19, 23, 28, 26, 36, 38, 38, 32, 36, 36, 34, 29, 27, 25, 21, 15, 16, 13, 10, 7, 5]

cp's OEIS Frontend

A129172 Triangle read by rows: T(n,k) is the number of skew 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	1
7	1
8	0
9	0
10	0
11	1
12	1
13	3
14	2
15	1
16	1
17	1
18	0
19	0
20	0
21	0
22	1
23	1
24	4
25	5
26	5
27	3
28	5
29	4
30	3
31	2
32	1
33	1
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	1
42	5
43	7
44	12
45	10
46	11
47	12
48	14
49	12
50	10
51	8
52	10
53	7
54	5
55	4
56	3
57	2
58	1
59	1
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	1
69	6
70	9
71	19
72	23
73	28
74	26
75	36
76	38
77	38
78	32
79	36
80	36
81	34
82	29
83	27
84	25
85	21
86	15
87	16
88	13
89	10
90	7
91	5

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

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