OFFSET
0,1
COMMENTS
This constant is an auxiliary constant used in computing the asymptotic probability of success in one of the Secretary problems.
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.
EXAMPLE
0.804352262845637584654638587784070551...
MATHEMATICA
a = x /. FindRoot[ExpIntegralEi[x] - EulerGamma - Log[x] == 1, {x, 1}, WorkingPrecision -> 105]; RealDigits[a, 10, 100] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 20 2014
STATUS
approved