OFFSET
0,1
COMMENTS
Curiously, this Renyi parking constant is very close to the prime generated continued fraction A084255 (gap ~ 10^-7).
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.3 Renyi's parking constant, p. 280.
LINKS
Eric Weisstein's MathWorld, Rényi's Parking Constants
Marek Wolf, Continued fractions constructed from prime numbers, arxiv.org/abs/1003.4015, pp. 4-5.
FORMULA
Define s(n) = Sum_{k = 0..n} 2^k/k!. Then (1 - 1/e^2)/2 = Sum_{n >= 0} 2^n/( (n+1)!*s(n)*s(n+1) ). Cf. A073333. - Peter Bala, Oct 23 2023
EXAMPLE
0.432332358381693654053000252513757798296184227045212...
MATHEMATICA
RealDigits[(1 - 1/E^2)/2 , 10, 104] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 25 2014
STATUS
approved