A114503 - cp's OEIS frontend

A114503 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n for which height of first peak + height of last peak = k (n>=1; 2<=k<=2n).

n	a(n)
1	1
2	1
3	0
4	1
5	1
6	2
7	1
8	0
9	1
10	2
11	4
12	4
13	2
14	1
15	0
16	1
17	5
18	10
19	11
20	8
21	4
22	2
23	1
24	0
25	1
26	14
27	28
28	32
29	26
30	16
31	8
32	4
33	2
34	1
35	0
36	1
37	42
38	84
39	98
40	84
41	57
42	32
43	16
44	8
45	4
46	2
47	1
48	0
49	1
50	132
51	264
52	312
53	276
54	198
55	120
56	64
57	32
58	16
59	8
60	4
61	2
62	1
63	0
64	1
65	429
66	858
67	1023
68	924
69	687
70	438
71	247
72	128
73	64
74	32
75	16
76	8
77	4
78	2
79	1
80	0
81	1

[1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 4, 4, 2, 1, 0, 1, 5, 10, 11, 8, 4, 2, 1, 0, 1, 14, 28, 32, 26, 16, 8, 4, 2, 1, 0, 1, 42, 84, 98, 84, 57, 32, 16, 8, 4, 2, 1, 0, 1, 132, 264, 312, 276, 198, 120, 64, 32, 16, 8, 4, 2, 1, 0, 1, 429, 858, 1023, 924, 687, 438, 247, 128, 64, 32, 16, 8, 4, 2, 1, 0, 1]

cp's OEIS Frontend

A114503 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n for which height of first peak + height of last peak = k (n>=1; 2<=k<=2n).

Table of values

List of values