A333070 - cp's OEIS frontend

A333070 Total number of nodes summed over 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	1
1	2
2	6
3	16
4	45
5	132
6	399
7	1240
8	3951
9	12870
10	42746
11	144420
12	495300
13	1721202
14	6051150
15	21493136
16	77039070
17	278377452
18	1013187920
19	3711505380
20	13675028346
21	50649452084
22	188482525039
23	704409735912
24	2642825539375
25	9950643710800
26	37587291143103
27	142403408032648

[1, 2, 6, 16, 45, 132, 399, 1240, 3951, 12870, 42746, 144420, 495300, 1721202, 6051150, 21493136, 77039070, 278377452, 1013187920, 3711505380, 13675028346, 50649452084, 188482525039, 704409735912, 2642825539375, 9950643710800, 37587291143103, 142403408032648]

cp's OEIS Frontend

A333070 Total number of nodes summed over 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