A268666 Number of polycubes with n cells, allowing edge connections as well as face connections, identifying mirror images.

1, 2, 8, 64, 646, 9364, 151028, 2605148, 46350675

Offset

1,2

Links

Table of n, a(n) for n=1..9.

G. L. Sicherman, Catalogue of Polykedges.

Example

a(2) = 2 because there are two ways to join two cells in the cubic grid at faces or edges.

Crossrefs

Cf. A270862 (distinguishing mirror images), A038119, A000162, A030222 (2-dimensional polyplets).

34th row of A366766.

Sequence in context: A191570 A052707 A059862 * A193549 A005612 A326290

Adjacent sequences: A268663 A268664 A268665 * A268667 A268668 A268669

Keyword

nonn,more,nice,hard

Author

George Sicherman, Feb 10 2016

Extensions

a(8)-a(9) from John Mason, Aug 04 2021

Status

approved