A333504 - cp's OEIS frontend

A333504 Sum of the heights of all 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	0
1	0
2	1
3	3
4	9
5	28
6	88
7	282
8	921
9	3058
10	10302
11	35159
12	121406
13	423704
14	1493046
15	5307276
16	19014642
17	68609686
18	249149529
19	910000728
20	3341113126
21	12325295866
22	45664033813
23	169846998495
24	634020229888
25	2374550269819
26	8920273989351
27	33604033638696
28	126919824985533

[0, 0, 1, 3, 9, 28, 88, 282, 921, 3058, 10302, 35159, 121406, 423704, 1493046, 5307276, 19014642, 68609686, 249149529, 910000728, 3341113126, 12325295866, 45664033813, 169846998495, 634020229888, 2374550269819, 8920273989351, 33604033638696, 126919824985533]

cp's OEIS Frontend

A333504 Sum of the heights of all 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