A328299 - cp's OEIS frontend

A328299 Number of n-step walks on cubic lattice starting at (0,0,0), ending at (floor(n/3), floor((n+1)/3), floor((n+2)/3)), 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	1
2	3
3	12
4	41
5	179
6	909
7	3968
8	19680
9	106368
10	516905
11	2717631
12	15139485
13	77813569
14	422589823
15	2395441908
16	12734635078
17	70577595746
18	404540380566
19	2199035619696
20	12356298623126
21	71368686011040
22	394076753535029
23	2236273925952447
24	12988459939106601

[1, 1, 3, 12, 41, 179, 909, 3968, 19680, 106368, 516905, 2717631, 15139485, 77813569, 422589823, 2395441908, 12734635078, 70577595746, 404540380566, 2199035619696, 12356298623126, 71368686011040, 394076753535029, 2236273925952447, 12988459939106601]

cp's OEIS Frontend

A328299 Number of n-step walks on cubic lattice starting at (0,0,0), ending at (floor(n/3), floor((n+1)/3), floor((n+2)/3)), 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