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).
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).
Terms
- a(0) =1a(1) =2a(2) =5a(3) =16a(4) =58a(5) =228a(6) =945a(7) =4072a(8) =18078a(9) =82172a(10) =380666a(11) =1791138a(12) =8537912a(13) =41146988a(14) =200169891a(15) =981705400a(16) =4848820372a(17) =24098703860a(18) =120433164750a(19) =604831645542
External references
- oeis: A328296