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A237429
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Number of nonisomorphic Hamiltonian cycles on 2n X 2n square grid of points with exactly one axis of reflective symmetry.
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2
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OFFSET
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1,3
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LINKS
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FORMULA
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EXAMPLE
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The following two cycles with n=3 are counted only once, since they are isomorphic under the full symmetry group of the square. They have a horizontal and a vertical axis respectively. No example has a diagonal axis, since this brings other symmetries (see A063524).
o-o-o-o-o-o o-o o-o o-o
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o o-o-o-o-o o o o o o o
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o o-o-o-o-o o o o o o o
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o o-o-o-o-o o o o o o o
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o o-o-o o-o o o-o o-o o
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o-o-o-o-o-o o-o-o-o-o-o
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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STATUS
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approved
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