A118919 - cp's OEIS frontend

A118919 Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that cross downwards the x-axis k times. (A Grand Dyck path of semilength n is a path in the half-plane x>=0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1)).

n	a(n)
0	1
1	2
2	5
3	1
4	14
5	6
6	42
7	27
8	1
9	132
10	110
11	10
12	429
13	429
14	65
15	1
16	1430
17	1638
18	350
19	14
20	4862
21	6188
22	1700
23	119
24	1
25	16796
26	23256
27	7752
28	798
29	18
30	58786
31	87210
32	33915
33	4655
34	189
35	1
36	208012
37	326876
38	144210
39	24794
40	1518
41	22
42	742900
43	1225785
44	600875
45	123970
46	10350

[1, 2, 5, 1, 14, 6, 42, 27, 1, 132, 110, 10, 429, 429, 65, 1, 1430, 1638, 350, 14, 4862, 6188, 1700, 119, 1, 16796, 23256, 7752, 798, 18, 58786, 87210, 33915, 4655, 189, 1, 208012, 326876, 144210, 24794, 1518, 22, 742900, 1225785, 600875, 123970, 10350]

cp's OEIS Frontend

A118919 Triangle read by rows: T(n,k) is the number of Grand Dyck paths of semilength n that cross downwards the x-axis k times. (A Grand Dyck path of semilength n is a path in the half-plane x>=0, starting at (0,0), ending at (2n,0) and consisting of steps u=(1,1) and d=(1,-1)).

Table of values

List of values