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A084826
Best packing of m>1 equal spheres in a cube setting a new density record.
2
2, 3, 4, 6, 7, 8, 31, 32, 48, 60, 61, 62, 63
OFFSET
1,1
COMMENTS
The terms >=31 are only conjectures found by numerical experimentation. In the table given at the Pfoertner link, the densities are given relative to the density of the cubic lattice packing (Pi/6). The first known arrangement with higher density than that of the cubic lattice packing was found for m=31 spheres. In the region 8<m<27 increasing packing densities occur for m=9,13,14. m=14 comes very close (0.994949) to the cubic lattice packing density.
REFERENCES
See under A084824.
CROSSREFS
KEYWORD
hard,more,nonn
AUTHOR
Hugo Pfoertner, Jun 12 2003
EXTENSIONS
More terms from Hugo Pfoertner, Oct 03 2015
STATUS
approved