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A272385 Number of polycubes with n cells, allowing vertex connections and edge connections as well as face connections, distinguishing mirror images. 0
1, 3, 16, 246, 4866, 115520, 2873712 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

For n=2 there are three possibilities: the two cubes share a face, or only an edge, or only a vertex.

For n=3, there are 14 tricubes allowing vertex, edge, and face connections. Two of them have distinct mirror images, so a(3) = 16.

CROSSREFS

Cf. A272368 (identifying mirror images), A270862 (no vertex connections), A000162 (face connections only).

Sequence in context: A000273 A071897 A182012 * A013923 A053466 A005031

Adjacent sequences:  A272382 A272383 A272384 * A272386 A272387 A272388

KEYWORD

nonn,more,nice,hard

AUTHOR

George Sicherman, Apr 28 2016

STATUS

approved

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Last modified April 23 09:35 EDT 2019. Contains 322385 sequences. (Running on oeis4.)