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A222067 Decimal expansion of 1/(8*sqrt(3)). 12


%S 7,2,1,6,8,7,8,3,6,4,8,7,0,3,2,2,0,5,6,3,6,4,3,5,9,7,5,6,2,7,4,4,6,8,

%T 1,9,5,5,9,5,0,2,1,8,9,0,8,7,6,5,8,5,9,5,0,2,3,2,5,2,9,0,8,1,0,4,9,7,

%U 2,0,9,0,3,7,8,6,6,6,6,8,2,1,1,7,1,4,4,2,4,4,4,8,2,1,8,6,9,0,6,5,3,1,5,1

%N Decimal expansion of 1/(8*sqrt(3)).

%C Conjectured to be center density of densest packing of equal spheres in six dimensions (achieved for example by the E_6 lattice).

%D J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discr. Comp. Geom., 13 (1995), 383-403.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/E6.html">Home page for E_6 lattice</a>

%H N. J. A. Sloane, <a href="/A093825/a093825.txt">Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (for n>3 the values are only conjectural).</a>

%e .7216878364870322056364359756274468195595021890876585950232529...

%o (PARI) 1/sqrt(192) \\ _Charles R Greathouse IV_, Oct 31 2014

%Y Related constants: A020769, A020789, A093766, A093825, A222066, A222068, A222069, A222070, A222071, A222072, A222073, A222074, A222075.

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Feb 10 2013

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Last modified May 31 22:45 EDT 2020. Contains 334756 sequences. (Running on oeis4.)