A198324 - cp's OEIS frontend

A198324 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) and S=(0,1).

n	a(n)
0	1
1	0
2	1
3	1
4	4
5	10
6	35
7	116
8	427
9	1584
10	6146
11	24216
12	97754
13	400080
14	1662645
15	6986127
16	29669872
17	127101015
18	548839687
19	2386211664
20	10439207266
21	45920497075
22	203004397362
23	901459381683
24	4019351034816
25	17987665701788
26	80773320086286
27	363842478143834

[1, 0, 1, 1, 4, 10, 35, 116, 427, 1584, 6146, 24216, 97754, 400080, 1662645, 6986127, 29669872, 127101015, 548839687, 2386211664, 10439207266, 45920497075, 203004397362, 901459381683, 4019351034816, 17987665701788, 80773320086286, 363842478143834]

cp's OEIS Frontend

A198324 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) and S=(0,1).

Table of values

List of values