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A093823
Decimal expansion of ((5 - 2*sqrt(2))*Pi)/24.
1
2, 8, 4, 2, 5, 8, 2, 2, 4, 6, 5, 1, 3, 4, 3, 0, 7, 0, 7, 6, 1, 7, 2, 7, 2, 8, 9, 0, 1, 1, 5, 0, 5, 2, 9, 2, 6, 5, 6, 5, 2, 5, 1, 5, 0, 7, 5, 5, 1, 7, 2, 8, 6, 0, 7, 7, 9, 3, 3, 0, 4, 8, 9, 4, 8, 4, 4, 2, 5, 5, 1, 8, 5, 5, 1, 3, 3, 7, 3, 8, 2, 1, 6, 6, 2, 3, 0, 0, 1, 0, 7, 1, 5, 8, 7, 7, 2, 8, 6, 0, 4, 9
OFFSET
0,1
COMMENTS
Solution to the Kakeya needle problem.
REFERENCES
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.17, p. 531.
LINKS
Vincent Borrelli, Jean-Luc Rullière, En cheminant avec Kakeya, Voyage au cœur des mathématiques, ENS Éditions, Lyon 2014 (in French) (see p. 119).
Eric Weisstein's World of Mathematics, Kakeya Needle Problem.
EXAMPLE
0.28425822465134307076172728901150529265652515...
MATHEMATICA
RealDigits[((5-2*Sqrt[2])*Pi)/24, 10, 120][[1]] (* Harvey P. Dale, Sep 27 2015 *)
PROG
(PARI) ((5 - 2*sqrt(2))*Pi)/24 \\ Michel Marcus, Sep 22 2014
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); ((5-2*Sqrt(2))*Pi(R))/24; // G. C. Greubel, Oct 01 2018
CROSSREFS
Sequence in context: A200004 A253634 A152626 * A088154 A085993 A010595
KEYWORD
nonn,cons,easy
AUTHOR
Eric W. Weisstein, Apr 16 2004
STATUS
approved