A011117 - cp's OEIS frontend

A011117 Triangle of numbers S(x,y) = number of lattice paths from (0,0) to (x,y) that use step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	3
6	1
7	3
8	7
9	11
10	1
11	4
12	12
13	28
14	45
15	1
16	5
17	18
18	52
19	121
20	197
21	1
22	6
23	25
24	84
25	237
26	550
27	903
28	1
29	7
30	33
31	125
32	403
33	1119
34	2591
35	4279
36	1
37	8
38	42
39	176
40	630
41	1976
42	5424
43	12536
44	20793
45	1
46	9
47	52
48	238
49	930
50	3206
51	9860
52	26832
53	61921
54	103049
55	1
56	10
57	63

[1, 1, 1, 1, 2, 3, 1, 3, 7, 11, 1, 4, 12, 28, 45, 1, 5, 18, 52, 121, 197, 1, 6, 25, 84, 237, 550, 903, 1, 7, 33, 125, 403, 1119, 2591, 4279, 1, 8, 42, 176, 630, 1976, 5424, 12536, 20793, 1, 9, 52, 238, 930, 3206, 9860, 26832, 61921, 103049, 1, 10, 63]

cp's OEIS Frontend

A011117 Triangle of numbers S(x,y) = number of lattice paths from (0,0) to (x,y) that use step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x.

Table of values

List of values