A333608 - cp's OEIS frontend

A333608 Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

n	a(n)
0	0
1	0
2	1
3	3
4	9
5	25
6	70
7	200
8	584
9	1742
10	5304
11	16471
12	52120
13	167885
14	549856
15	1828897
16	6170108
17	21087458
18	72923515
19	254880303
20	899454849
21	3201729220
22	11486266036
23	41497996004
24	150879471934
25	551723923040
26	2027990653855
27	7489507917594
28	27777837416779
29	103427750936183

[0, 0, 1, 3, 9, 25, 70, 200, 584, 1742, 5304, 16471, 52120, 167885, 549856, 1828897, 6170108, 21087458, 72923515, 254880303, 899454849, 3201729220, 11486266036, 41497996004, 150879471934, 551723923040, 2027990653855, 7489507917594, 27777837416779, 103427750936183]

cp's OEIS Frontend

A333608 Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (1,v) with v in {-1,0,...,max(y,1)}.

Table of values

List of values