A224769 - cp's OEIS frontend

A224769 Number of lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

n	a(n)
0	1
1	1
2	2
3	7
4	33
5	184
6	1142
7	7629
8	53750
9	394157
10	2981546
11	23117242
12	182867360
13	1470714606
14	11993628444
15	98967634147
16	824958769631
17	6937180941468
18	58785077008641
19	501520244718945
20	4304433733010962
21	37142428443486254
22	322042675618484973
23	2804409601249038670

[1, 1, 2, 7, 33, 184, 1142, 7629, 53750, 394157, 2981546, 23117242, 182867360, 1470714606, 11993628444, 98967634147, 824958769631, 6937180941468, 58785077008641, 501520244718945, 4304433733010962, 37142428443486254, 322042675618484973, 2804409601249038670]

cp's OEIS Frontend

A224769 Number of lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1) and S=(0,1).

Table of values

List of values