A379822 - cp's OEIS frontend

A379822 Triangle read by rows: T(n, k) is the number of walks of length n on the Z X Z grid with unit steps in all four directions (NSWE) starting at (0, 0), and ending on the vertical line x = 0 if k = 0, or on the line x = k or x = -(n + 1 - k) if k > 0.

n	a(n)
0	1
1	2
2	2
3	6
4	5
5	5
6	20
7	16
8	12
9	16
10	70
11	57
12	36
13	36
14	57
15	252
16	211
17	130
18	90
19	130
20	211
21	924
22	793
23	507
24	286
25	286
26	507
27	793
28	3432
29	3004
30	2016
31	1092
32	728
33	1092
34	2016
35	3004
36	12870
37	11441
38	8024
39	4488
40	2380
41	2380
42	4488
43	8024
44	11441
45	48620
46	43759
47	31842
48	18717
49	9384
50	6120
51	9384
52	18717
53	31842
54	43759

[1, 2, 2, 6, 5, 5, 20, 16, 12, 16, 70, 57, 36, 36, 57, 252, 211, 130, 90, 130, 211, 924, 793, 507, 286, 286, 507, 793, 3432, 3004, 2016, 1092, 728, 1092, 2016, 3004, 12870, 11441, 8024, 4488, 2380, 2380, 4488, 8024, 11441, 48620, 43759, 31842, 18717, 9384, 6120, 9384, 18717, 31842, 43759]

cp's OEIS Frontend

A379822 Triangle read by rows: T(n, k) is the number of walks of length n on the Z X Z grid with unit steps in all four directions (NSWE) starting at (0, 0), and ending on the vertical line x = 0 if k = 0, or on the line x = k or x = -(n + 1 - k) if k > 0.

Table of values

List of values