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A222192
a(n) = number of inequivalent ways to choose a subset of the n*2^(n-1) edges of the n-cube so that the resulting figure is connected and fully n-dimensional.
3
1, 3, 78, 7338218
OFFSET
1,2
COMMENTS
"Inequivalent" means that figures differing by a rotation and/or reflection are not regarded as different.
"Fully n-dimensional" means not lying in a proper subspace.
This is a variation on A222186, that was based on a work by the artist Sol LeWitt.
EXAMPLE
For n=2 the three figures are: the four edges of a square, or omit one edge, or omit two adjacent edges.
CROSSREFS
Cf. A222186.
Sequence in context: A306818 A092416 A069839 * A236069 A364947 A064456
KEYWORD
nonn,more
AUTHOR
Andrew Weimholt, Feb 12 2013
EXTENSIONS
a(4) computed by Andrew Weimholt, Feb 13 2013
STATUS
approved