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A165922
Decimal expansion of 2*sqrt(3)/(9*Pi).
5
1, 2, 2, 5, 1, 7, 5, 3, 2, 3, 1, 5, 9, 5, 3, 7, 8, 8, 7, 8, 0, 2, 9, 4, 7, 7, 7, 4, 0, 2, 8, 8, 2, 0, 9, 8, 0, 8, 8, 3, 0, 8, 1, 0, 6, 7, 4, 8, 1, 4, 2, 3, 6, 7, 2, 8, 8, 7, 4, 8, 0, 0, 4, 5, 0, 9, 1, 1, 7, 8, 4, 5, 2, 1, 5, 3, 9, 3, 2, 8, 7, 7, 4, 2, 3, 0, 6, 6, 7, 3, 0, 7, 1, 8, 1, 5, 7, 5, 3, 1, 5, 7, 2, 6, 6
OFFSET
0,2
COMMENTS
The ratio of the volume of a regular tetrahedron to the volume of the circumscribed sphere. (The MathWorld link shows that the circumradius for a tetrahedron with side length a is a*sqrt(6)/4.)
FORMULA
2*sqrt(3)/(9*Pi) = A010469/(9*A000796) = (2/9)*A002194/A000796 = (2/9)*A002194*A049541 = 2*A020784/A000796 = 2*3^(-3/2)/Pi.
EXAMPLE
0.122517532315953788780294777402882098...
MATHEMATICA
RealDigits[(2Sqrt[3])/(9Pi), 10, 120][[1]] (* Harvey P. Dale, Nov 17 2013 *)
PROG
(PARI) 2*3^(-3/2)/Pi
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Sep 30 2009
STATUS
approved