A225041 - cp's OEIS frontend

A225041 Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1), H=(1,0) and S=(0,1).

n	a(n)
0	1
1	1
2	3
3	9
4	35
5	145
6	659
7	3137
8	15619
9	80177
10	422595
11	2273633
12	12447667
13	69138193
14	388784259
15	2209440945
16	12671782579
17	73260414481
18	426545078627
19	2499059841249
20	14723542302627
21	87181150961361
22	518554078448339
23	3097007445391441
24	18565515801339827

[1, 1, 3, 9, 35, 145, 659, 3137, 15619, 80177, 422595, 2273633, 12447667, 69138193, 388784259, 2209440945, 12671782579, 73260414481, 426545078627, 2499059841249, 14723542302627, 87181150961361, 518554078448339, 3097007445391441, 18565515801339827]

cp's OEIS Frontend

A225041 Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1), H=(1,0) and S=(0,1).

Table of values

List of values