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A242943 Decimal expansion of the mean car density associated with Solomon's variation in Renyi's one-dimensional parking problem. 2
8, 0, 8, 6, 5, 2, 5, 1, 8, 3, 5, 0, 2, 1, 2, 2, 4, 4, 9, 1, 5, 4, 2, 1, 9, 2, 9, 4, 0, 9, 6, 8, 0, 3, 2, 9, 4, 4, 1, 0, 8, 0, 1, 2, 4, 7, 1, 3, 8, 6, 9, 4, 8, 5, 4, 3, 2, 2, 5, 1, 2, 9, 6, 6, 5, 4, 1, 3, 2, 3, 3, 2, 7, 9, 2, 6, 9, 5, 3, 9, 1, 2, 7, 4, 5, 5, 1, 6, 0, 4, 9, 1, 0, 4, 7, 7, 8, 9, 1, 8, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.3 Renyi's parking constant, p. 279.

LINKS

Table of n, a(n) for n=0..101.

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

Cf. A050996.

Sequence in context: A156744 A228438 A021557 * A319215 A200513 A200523

Adjacent sequences:  A242940 A242941 A242942 * A242944 A242945 A242946

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, May 27 2014

STATUS

approved

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Last modified September 26 21:46 EDT 2020. Contains 337377 sequences. (Running on oeis4.)