Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #18 Mar 03 2023 16:52:02
%S 1,1,4,25,210,2209,24651,284768,3360995,40328652,490455189
%N Number of "polyspheres", or "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the f.c.c. lattice, allowing translation and rotations of the lattice, reflections and 180 deg. rotations about a 3-fold symmetry axis of the lattice.
%H S. T. Coffin, <a href="http://www.johnrausch.com/PuzzlingWorld/">Puzzling World of Polyhedral Dissections</a>, Oxford Univ. Press, 1991.
%H Ishino Keiichiro, <a href="https://puzzlewillbeplayed.com/Polyspheres/">Polysphere</a>, Puzzle will be played, 2008.
%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, A038168, A038169, A038170, A038171, A038172, A038173.
%K nonn,more
%O 1,3
%A _Achim Flammenkamp_, Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM).
%E a(9) and a(10) from _Achim Flammenkamp_ Feb 15 1999
%E a(11) from Ishino Keiichiro's website added by _Andrey Zabolotskiy_, Mar 03 2023