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).
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).
Terms
- a(0) =1a(1) =1a(2) =3a(3) =12a(4) =41a(5) =179a(6) =909a(7) =3968a(8) =19680a(9) =106368a(10) =516905a(11) =2717631a(12) =15139485a(13) =77813569a(14) =422589823a(15) =2395441908a(16) =12734635078a(17) =70577595746a(18) =404540380566
External references
- oeis: A328299