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A222069
Decimal expansion of (1/30)*2^(1/2)*Pi^2.
10
4, 6, 5, 2, 5, 7, 6, 1, 3, 3, 0, 9, 2, 5, 8, 6, 3, 5, 6, 1, 0, 5, 0, 4, 0, 6, 2, 4, 1, 1, 2, 9, 3, 6, 8, 5, 9, 9, 4, 6, 5, 7, 7, 5, 1, 3, 9, 6, 5, 3, 6, 1, 5, 7, 7, 4, 3, 5, 6, 6, 4, 4, 4, 5, 0, 1, 3, 2, 7, 1, 8, 4, 1, 8, 8, 8, 7, 1, 8, 1, 4, 3, 1, 1, 1, 6, 0, 0, 8, 9, 1, 5, 4, 0, 5, 4
OFFSET
0,1
COMMENTS
Conjectured to be density of densest packing of equal spheres in five dimensions (achieved for example by the D_5 lattice).
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer, 3rd. ed., 1998. See p. xix.
EXAMPLE
.46525761330925863561050406241129368599465775139653615774...
MATHEMATICA
RealDigits[(Sqrt[2] Pi^2)/30, 10, 120][[1]] (* Harvey P. Dale, Nov 07 2021 *)
PROG
(PARI) Pi^2/sqrt(450) \\ Charles R Greathouse IV, Oct 31 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Feb 10 2013
STATUS
approved