A224776 - cp's OEIS frontend

A224776 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 D=(1,-1), H=(1,0) and S=(0,1).

n	a(n)
0	1
1	1
2	3
3	14
4	83
5	568
6	4271
7	34296
8	288946
9	2524676
10	22695611
11	208713400
12	1955285936
13	18601484936
14	179267898087
15	1746795785272
16	17183086302528
17	170427862676296
18	1702621483524154
19	17118538010217472
20	173092651634957516
21	1759113081143064184
22	17959329720442879275

[1, 1, 3, 14, 83, 568, 4271, 34296, 288946, 2524676, 22695611, 208713400, 1955285936, 18601484936, 179267898087, 1746795785272, 17183086302528, 170427862676296, 1702621483524154, 17118538010217472, 173092651634957516, 1759113081143064184, 17959329720442879275]

cp's OEIS Frontend

A224776 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 D=(1,-1), H=(1,0) and S=(0,1).

Table of values

List of values