A378067 - cp's OEIS frontend

A378067 Triangle read by rows: T(n, k) is the number of walks of length n with unit steps in all four directions (NSWE) starting at (0, 0), staying in the upper plane (y >= 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	1
2	2
3	4
4	3
5	3
6	9
7	10
8	6
9	10
10	36
11	25
12	20
13	20
14	25
15	100
16	101
17	55
18	50
19	55
20	101
21	400
22	301
23	231
24	126
25	126
26	231
27	301
28	1225
29	1226
30	742
31	490
32	294
33	490
34	742
35	1226
36	4900
37	3921
38	3144
39	1632
40	1008
41	1008
42	1632
43	3144
44	3921
45	15876
46	15877
47	10593
48	7137
49	3348
50	2592
51	3348
52	7137
53	10593
54	15877

[1, 1, 2, 4, 3, 3, 9, 10, 6, 10, 36, 25, 20, 20, 25, 100, 101, 55, 50, 55, 101, 400, 301, 231, 126, 126, 231, 301, 1225, 1226, 742, 490, 294, 490, 742, 1226, 4900, 3921, 3144, 1632, 1008, 1008, 1632, 3144, 3921, 15876, 15877, 10593, 7137, 3348, 2592, 3348, 7137, 10593, 15877]

cp's OEIS Frontend

A378067 Triangle read by rows: T(n, k) is the number of walks of length n with unit steps in all four directions (NSWE) starting at (0, 0), staying in the upper plane (y >= 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