Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (0,k,n-k) 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.
A328347
Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (0,k,n-k) 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) =1a(2) =1a(3) =3a(4) =4a(5) =3a(6) =7a(7) =15a(8) =15a(9) =7a(10) =19a(11) =52a(12) =72a(13) =52a(14) =19a(15) =51a(16) =175a(17) =300a(18) =300a(19) =175a(20) =51a(21) =141a(22) =576a(23) =1185a(24) =1480a(25) =1185a(26) =576a(27) =141a(28) =393a(29) =1869
External references
- oeis: A328347