%I #42 Nov 04 2023 13:53:37
%S 1,1,4,20,131,1211,12734,144158,1687737,20196788,245366931
%N 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 and reflections.
%C This extends earlier work of Torsten Sillke (torsten.sillke(AT)lhsystems.com).
%H S. T. Coffin, <a href="http://www.johnrausch.com/PuzzlingWorld/">Puzzling World of Polyhedral Dissections</a>, Oxford Univ. Press, 1991.
%H George Sicherman, <a href="https://sicherman.net/polyrhons/catalogue.html">Catalogue of Polyrhons</a>
%H T. Sillke, <a href="http://www.mathematik.uni-bielefeld.de/~sillke/PENTA/notar">Notations for polyspheres</a>
%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>
%Y Cf. A000162, A038119 (for simple-cubic lattice), A038168-A038174, A300812 (refined by number of contacts).
%Y 33rd row of A366766.
%K nonn,hard,more
%O 1,3
%A _Achim Flammenkamp_
%E a(10) from _George Sicherman_, Jul 24 2012
%E a(11) from _Joerg Arndt_ and _Márk Péter Légrádi_, Apr 30 2023