A333069 - cp's OEIS frontend

A333069 Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

n	a(n)
0	1
1	1
2	2
3	4
4	9
5	22
6	57
7	155
8	439
9	1287
10	3886
11	12035
12	38100
13	122943
14	403410
15	1343321
16	4531710
17	15465414
18	53325680
19	185575269
20	651191826
21	2302247822
22	8194892393
23	29350405663
24	105713021575
25	382717065800
26	1392121894189
27	5085836001166
28	18654616951435
29	68678029247822

[1, 1, 2, 4, 9, 22, 57, 155, 439, 1287, 3886, 12035, 38100, 122943, 403410, 1343321, 4531710, 15465414, 53325680, 185575269, 651191826, 2302247822, 8194892393, 29350405663, 105713021575, 382717065800, 1392121894189, 5085836001166, 18654616951435, 68678029247822]

cp's OEIS Frontend

A333069 Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}.

Table of values

List of values