A110189 - cp's OEIS frontend

A110189 Triangle read by rows: T(n,k) (0<=k<=n) is the number of Schroeder paths of length 2n, having k (1,0)-steps on the lines y=0 and y=1 (a Schroeder path of length 2n is a path from (0,0) to (2n,0), consisting of steps U=(1,1), D=(1,-1) and H=(2,0) and never going below the x-axis).

n	a(n)
0	1
1	1
2	1
3	2
4	3
5	1
6	6
7	9
8	6
9	1
10	22
11	32
12	25
13	10
14	1
15	90
16	128
17	105
18	55
19	15
20	1
21	394
22	552
23	462
24	271
25	105
26	21
27	1
28	1806
29	2504
30	2118
31	1317
32	602
33	182
34	28
35	1
36	8558
37	11776
38	10026
39	6456
40	3235
41	1204
42	294
43	36
44	1
45	41586
46	56896
47	48658
48	32068
49	17019
50	7149
51	2226
52	450
53	45
54	1
55	206098

[1, 1, 1, 2, 3, 1, 6, 9, 6, 1, 22, 32, 25, 10, 1, 90, 128, 105, 55, 15, 1, 394, 552, 462, 271, 105, 21, 1, 1806, 2504, 2118, 1317, 602, 182, 28, 1, 8558, 11776, 10026, 6456, 3235, 1204, 294, 36, 1, 41586, 56896, 48658, 32068, 17019, 7149, 2226, 450, 45, 1, 206098]

cp's OEIS Frontend

A110189 Triangle read by rows: T(n,k) (0<=k<=n) is the number of Schroeder paths of length 2n, having k (1,0)-steps on the lines y=0 and y=1 (a Schroeder path of length 2n is a path from (0,0) to (2n,0), consisting of steps U=(1,1), D=(1,-1) and H=(2,0) and never going below the x-axis).

Table of values

List of values