A010736 - cp's OEIS frontend

A010736 Let S(x,y) = number of lattice paths from (0,0) to (x,y) that use the step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x. Sequence gives S(n-2,n).

n	a(n)
0	1
1	3
2	12
3	52
4	237
5	1119
6	5424
7	26832
8	134913
9	687443
10	3541932
11	18421524
12	96585597
13	509960223
14	2709067968
15	14469453632
16	77655751329
17	418567792899
18	2264867271852
19	12298297439892
20	66993811842477
21	366009125766463

[1, 3, 12, 52, 237, 1119, 5424, 26832, 134913, 687443, 3541932, 18421524, 96585597, 509960223, 2709067968, 14469453632, 77655751329, 418567792899, 2264867271852, 12298297439892, 66993811842477, 366009125766463]

cp's OEIS Frontend

A010736 Let S(x,y) = number of lattice paths from (0,0) to (x,y) that use the step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x. Sequence gives S(n-2,n).

Table of values

List of values