OFFSET
0,7
REFERENCES
David H. Bailey, Jonathan M. Borwein, Neil J. Calkin, Roland Girgensohn, D. Russell Luke and Victor H. Moll, Experimental Mathematics in Action, Wellesley, MA, A K Peters, 2007, p. 48.
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..10007 (from Folkmar Bornemann's solution)
Folkmar Bornemann, Short remarks on the solution of the SIAM 100-digit challenge, 2002.
Folkmar Bornemann, Hitting the Ends, a web page for the book The SIAM 100-Digit Challenge.
Folkmar Bornemann, Dirk Laurie, Stan Wagon, and Jörg Waldvogel, The SIAM 100-Digit Challenge, A Study in High-Accuracy Numerical Computing, SIAM, Philadelphia, 2004.
Eric Weisstein's World of Mathematics, Hundred-Dollar, Hundred-Digit Challenge Problems.
Wikipedia, Hundred-dollar, Hundred-digit Challenge problems.
FORMULA
Equals (2*arccos(sqrt(ModularLambda(I/10))))/Pi.
EXAMPLE
0.0000003837587979251226103...
MATHEMATICA
Flatten[{0, 0, 0, 0, 0, 0, RealDigits[(2*ArcCos[Sqrt[ModularLambda[I/10]]])/Pi, 10, 100][[1]]}] (* Vaclav Kotesovec, Aug 15 2015 after Eric W. Weisstein *)
N[2/Pi * ArcSin[(3-2*Sqrt[2])^2 * (2+Sqrt[5])^2 * (Sqrt[10]-3)^2 * (5^(1/4)-Sqrt[2])^4], 100] (* Vaclav Kotesovec, Aug 15 2015 after Bornemann *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Mar 05 2006
STATUS
approved