A038172 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice.

1, 1, 5, 28, 225, 2274, 24955, 286143, 3367443, 40358811, 490598186

Offset

1,3

Links

Table of n, a(n) for n=1..11.

S. T. Coffin, Puzzling World of Polyhedral Dissections, Oxford Univ. Press, 1991.

G. L. Sicherman, Catalogue of Polyrhons

T. Sillke, Notations for polyspheres

Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A000162, A038119, A038168-A038174.

Sequence in context: A317968 A107875 A340904 * A183375 A000530 A121674

Adjacent sequences: A038169 A038170 A038171 * A038173 A038174 A038175

Keyword

nonn,hard,more

Author

Achim Flammenkamp

Extensions

This extends earlier work of Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM). Added the 10th term.

a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023

Status

approved