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 A330079 Number of n-step self-avoiding walks starting at the origin that are restricted to the boundary walls of the first octant of the cubic lattice. 1
 1, 3, 9, 27, 75, 213, 585, 1623, 4425, 12123, 32883, 89415, 241557, 653649, 1760427, 4747005, 12754593, 34301463, 91990575, 246880023, 661075149, 1771199169, 4736741853, 12673587057, 33856816431, 90482953989 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS These are walks in the first octant of the cubic lattice, never leaving the three walls forming the octant. The walls are the sets of points (x>=0, y>=0, z=0), (x>=0, y=0, z>=0), and (x=0, y>=0, z>=0) with (x,y,z) in Z^3. LINKS Francois Alcover, 14-step walk Francois Alcover, nodejs script CROSSREFS Cf. A001411, A001412. The "snake in the box" problem (A000937, A099155) has a similar flavor. - N. J. A. Sloane, Dec 01 2019 Sequence in context: A180238 A289693 A269684 * A135415 A182897 A228734 Adjacent sequences:  A330076 A330077 A330078 * A330080 A330081 A330082 KEYWORD nonn,more,walk AUTHOR Francois Alcover, Nov 30 2019 EXTENSIONS a(18)-a(25) Scott R. Shannon, Aug 17 2020 STATUS approved

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Last modified January 17 13:50 EST 2021. Contains 340242 sequences. (Running on oeis4.)