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%I #27 Dec 30 2023 09:53:37
%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, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
%H J. H. Conway and N. J. A. Sloane, <a href="https://doi.org/10.1007/BF02574051">What are all the best sphere packings in low dimensions?</a>, Discr. Comp. Geom., 13 (1995), 383-403.
%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 and Andrey Zabolotskiy, <a href="/A093825/a093825_1.txt">Table of maximal density of a packing of equal spheres in n-dimensional Euclidean space (some values are only conjectural)</a>.
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%e 0.07216878364870322056364359756274468195595021890876585950232529...
%t RealDigits[1/(8*Sqrt[3]), 10, 120][[1]] (* _Amiram Eldar_, Jun 19 2023 *)
%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, A260646.
%K nonn,cons,easy
%O -1,1
%A _N. J. A. Sloane_, Feb 10 2013
%E Offset corrected by _Georg Fischer_, Aug 18 2022
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