A114494 - cp's OEIS frontend

A114494 Triangle read by rows: T(n,k) is number of hill-free Dyck paths of semilength n and having k returns to the x-axis. (A Dyck path is said to be hill-free if it has no peaks at level 1.)

n	a(n)
1	0
2	1
3	2
4	5
5	1
6	14
7	4
8	42
9	14
10	1
11	132
12	48
13	6
14	429
15	165
16	27
17	1
18	1430
19	572
20	110
21	8
22	4862
23	2002
24	429
25	44
26	1
27	16796
28	7072
29	1638
30	208
31	10
32	58786
33	25194
34	6188
35	910
36	65
37	1
38	208012
39	90440
40	23256
41	3808
42	350
43	12
44	742900
45	326876
46	87210
47	15504
48	1700
49	90
50	1
51	2674440
52	1188640

[0, 1, 2, 5, 1, 14, 4, 42, 14, 1, 132, 48, 6, 429, 165, 27, 1, 1430, 572, 110, 8, 4862, 2002, 429, 44, 1, 16796, 7072, 1638, 208, 10, 58786, 25194, 6188, 910, 65, 1, 208012, 90440, 23256, 3808, 350, 12, 742900, 326876, 87210, 15504, 1700, 90, 1, 2674440, 1188640]

cp's OEIS Frontend

A114494 Triangle read by rows: T(n,k) is number of hill-free Dyck paths of semilength n and having k returns to the x-axis. (A Dyck path is said to be hill-free if it has no peaks at level 1.)

Table of values

List of values