A328296 - cp's OEIS frontend

A328296 Number of n-step walks on cubic lattice starting at (0,0,0), ending at (0,y,z), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1).

n	a(n)
0	1
1	2
2	5
3	16
4	58
5	228
6	945
7	4072
8	18078
9	82172
10	380666
11	1791138
12	8537912
13	41146988
14	200169891
15	981705400
16	4848820372
17	24098703860
18	120433164750
19	604831645542
20	3050979757728
21	15451575335362
22	78536766518038
23	400497435480332
24	2048473941706016
25	10506489209380466

[1, 2, 5, 16, 58, 228, 945, 4072, 18078, 82172, 380666, 1791138, 8537912, 41146988, 200169891, 981705400, 4848820372, 24098703860, 120433164750, 604831645542, 3050979757728, 15451575335362, 78536766518038, 400497435480332, 2048473941706016, 10506489209380466]

cp's OEIS Frontend

A328296 Number of n-step walks on cubic lattice starting at (0,0,0), ending at (0,y,z), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1).

Table of values

List of values