A050157 - cp's OEIS frontend

A050157 T(n, k) = S(2n, n, k) for 0<=k<=n and n>=0, where S(p, q, r) is the number of upright paths from (0, 0) to (p, p-q) that do not rise above the line y = x-r.

n	a(n)
0	1
1	1
2	2
3	2
4	5
5	6
6	5
7	14
8	19
9	20
10	14
11	42
12	62
13	69
14	70
15	42
16	132
17	207
18	242
19	251
20	252
21	132
22	429
23	704
24	858
25	912
26	923
27	924
28	429
29	1430
30	2431
31	3068
32	3341
33	3418
34	3431
35	3432
36	1430
37	4862
38	8502
39	11050
40	12310
41	12750
42	12854
43	12869
44	12870

[1, 1, 2, 2, 5, 6, 5, 14, 19, 20, 14, 42, 62, 69, 70, 42, 132, 207, 242, 251, 252, 132, 429, 704, 858, 912, 923, 924, 429, 1430, 2431, 3068, 3341, 3418, 3431, 3432, 1430, 4862, 8502, 11050, 12310, 12750, 12854, 12869, 12870]

cp's OEIS Frontend

A050157 T(n, k) = S(2n, n, k) for 0<=k<=n and n>=0, where S(p, q, r) is the number of upright paths from (0, 0) to (p, p-q) that do not rise above the line y = x-r.

Table of values

List of values