A237431 Number of nonisomorphic Hamiltonian cycles on 2n X 2n square grid of points with exactly two axes of reflective symmetry.
0, 1, 3, 20, 244, 6891, 378813, 47917598, 12118420172, 6998287399637
Offset: 1
Examples
Examples of 2 of the 3 classes for n=3. Note that all examples also have two-fold (but not four-fold) rotational symmetry. o-o-o-o-o-o o-o-o-o-o-o | | | | o-o-o o-o-o o o-o o-o o | | | | | | | | o-o-o o-o-o o-o o o o-o | | | | o-o-o o-o-o o-o o o o-o | | | | | | | | o-o-o o-o-o o o-o o-o o | | | | o-o-o-o-o-o o-o-o-o-o-o
Links
- Ed Wynn, Enumeration of nonisomorphic Hamiltonian cycles on square grid graphs, arXiv:1402.0545 [math.CO], 2014.