OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.15, p. 362.
LINKS
Eric Weisstein's MathWorld, Sultan's Dowry Problem.
Wikipedia, Secretary problem.
FORMULA
product_(k>0) (1+2/k)^(1/(k+1)).
Also equals exp(2*Sum_{k>=3} (log(k)/(k^2-1)) - log(2)/3).
EXAMPLE
3.869519241397999495694167278779...
MATHEMATICA
NProduct[(1+2/k)^(1/(k+1)), {k, 1, Infinity}, NProductFactors -> 1000, WorkingPrecision -> 48] // RealDigits[#, 10, 40]& // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 20 2014
EXTENSIONS
More terms from Alois P. Heinz, Jun 06 2014
STATUS
approved