A328300 - cp's OEIS frontend

A328300 Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (0,k,n-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	1
2	1
3	1
4	3
5	1
6	1
7	7
8	7
9	1
10	1
11	15
12	26
13	15
14	1
15	1
16	31
17	82
18	82
19	31
20	1
21	1
22	63
23	237
24	343
25	237
26	63
27	1
28	1
29	127
30	651
31	1257
32	1257
33	651
34	127
35	1
36	1
37	255
38	1730
39	4256
40	5594
41	4256
42	1730
43	255
44	1
45	1
46	511
47	4494
48	13669
49	22411
50	22411
51	13669
52	4494
53	511
54	1
55	1
56	1023
57	11485
58	42279
59	83680
60	103730
61	83680
62	42279
63	11485
64	1023
65	1

[1, 1, 1, 1, 3, 1, 1, 7, 7, 1, 1, 15, 26, 15, 1, 1, 31, 82, 82, 31, 1, 1, 63, 237, 343, 237, 63, 1, 1, 127, 651, 1257, 1257, 651, 127, 1, 1, 255, 1730, 4256, 5594, 4256, 1730, 255, 1, 1, 511, 4494, 13669, 22411, 22411, 13669, 4494, 511, 1, 1, 1023, 11485, 42279, 83680, 103730, 83680, 42279, 11485, 1023, 1]

cp's OEIS Frontend

A328300 Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (0,k,n-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