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.
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.
Terms
- a(0) =1a(1) =2a(2) =1a(3) =5a(4) =6a(5) =1a(6) =16a(7) =26a(8) =14a(9) =1a(10) =58a(11) =112a(12) =93a(13) =30a(14) =1a(15) =228a(16) =489a(17) =522a(18) =288a(19) =62a(20) =1a(21) =945a(22) =2182a(23) =2737a(24) =2040a(25) =825a(26) =126a(27) =1a(28) =4072a(29) =9934
External references
- oeis: A328297