OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.3 Renyi's parking constant, p. 279.
LINKS
Eric Weisstein's MathWorld, Rényi's Parking Constants
FORMULA
integral_(x>=0) (2*x+1)*exp(-2*(x+exp(-x)-1)]*exp(-2*(-Ei(-x)+log(x)+gamma)) dx, where Ei is the exponential integral function and gamma the Euler-Mascheroni constant.
EXAMPLE
0.808652518350212244915421929409680329441...
MATHEMATICA
digits = 102; NIntegrate[(2*x + 1)*Exp[-2*(x + Exp[-x] - 1)]*Exp[-2*(-ExpIntegralEi[-x] + Log[x] + EulerGamma)], {x, 0, Infinity}, WorkingPrecision -> digits + 5] // RealDigits[#, 10, digits] & // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, May 27 2014
STATUS
approved