A328297 - cp's OEIS frontend

A328297 Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, 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); triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	2
2	1
3	5
4	6
5	1
6	16
7	26
8	14
9	1
10	58
11	112
12	93
13	30
14	1
15	228
16	489
17	522
18	288
19	62
20	1
21	945
22	2182
23	2737
24	2040
25	825
26	126
27	1
28	4072
29	9934
30	13934
31	12642
32	7210
33	2254
34	254
35	1
36	18078
37	46016
38	70058
39	72994
40	52086
41	23878
42	5969
43	510
44	1
45	82172
46	216322
47	350648
48	404788
49	338520
50	198795
51	75570
52	15468
53	1022
54	1

[1, 2, 1, 5, 6, 1, 16, 26, 14, 1, 58, 112, 93, 30, 1, 228, 489, 522, 288, 62, 1, 945, 2182, 2737, 2040, 825, 126, 1, 4072, 9934, 13934, 12642, 7210, 2254, 254, 1, 18078, 46016, 70058, 72994, 52086, 23878, 5969, 510, 1, 82172, 216322, 350648, 404788, 338520, 198795, 75570, 15468, 1022, 1]

cp's OEIS Frontend

A328297 Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, 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); triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values