OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.15 Optimal stopping constants, p. 361.
LINKS
David Assaf, Larry Goldstein, Ester Samuel-Cahn, Two choice optimal stopping.
Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 46.
Eric Weisstein's MathWorld, Sultan's Dowry Problem.
Wikipedia, Secretary problem.
FORMULA
Unique positive solution of (2/xi + 1)*log(xi/2 + 1) = 3/2.
EXAMPLE
2.79399765260155079609907114136685042580083911662734211613515983...
MATHEMATICA
xi /. FindRoot[(2/xi + 1)*Log[xi/2 + 1] == 3/2, {xi, 3}, WorkingPrecision -> 102] // RealDigits // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 01 2014
STATUS
approved