Number of n-step walks on cubic lattice starting at (0,0,0), 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).

A328295

Number of n-step walks on cubic lattice starting at (0,0,0), 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) =3a(2) =12a(3) =57a(4) =294a(5) =1590a(6) =8856a(7) =50301a(8) =289590a(9) =1683306a(10) =9853320a(11) =57977922a(12) =342494118a(13) =2029350972a(14) =12052664868a(15) =71715479535a(16) =427347761010

External references