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A222075 Decimal expansion of (64/10395)*Pi^5. 12


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

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

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

%N Decimal expansion of (64/10395)*Pi^5.

%C Conjectured to be density of densest packing of equal spheres in 24 dimensions (achieved for example by the Leech 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/Leech.html">Home page for Leech 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 1.8841038793899002413482870459624703044482198387875708894106...

%o (Maxima) fpprec : 100$ev((64/10395)*%pi^5)$bfloat(%); /* _Martin Ettl_, Feb 12 2013 */

%o (PARI) 64*Pi^5/10395 \\ _Charles R Greathouse IV_, Oct 31 2014

%Y Related constants: A020769, A020789, A093766, A093825, A222066, A222067, A222068, A222069, A222070, A222071, A222072, A222073, A222074.

%K nonn,cons

%O 1,2

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

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Last modified July 9 14:41 EDT 2020. Contains 335543 sequences. (Running on oeis4.)