A loop through a Graph that visits each node exactly once but does not end adjacent to the initial point. The number of Hamiltonian paths on an -Hypercube is 0, 0, 48, 48384, ... (Sloane's A006070, Gardner 1986, pp. 23-24).
See also Hamiltonian Circuit, Hamiltonian Graph
References
Gardner, M. ``The Binary Gray Code.'' In Knotted Doughnuts and Other Mathematical
Entertainments. New York: W. H. Freeman, pp. 23-24, 1986.
Sloane, N. J. A. Sequence
A006070/M5295
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.